Current State ID: 0
Current State Description: We have a building with floors labeled 0 through 5 (n0 to n5). Each floor nX is considered “above” any floor nY where X < Y, meaning n0 < n1 < n2 < … < n5 in ascending order.

There are three elevators:
- **fast0**, a fast elevator currently at floor 0 (n0). It has 0 passengers right now and can hold up to 2 passengers. It can reach all floors from 0 to 5 (n0 to n5).
- **fast1**, another fast elevator, currently at floor 3 (n3). It holds 0 passengers at the moment and can also hold up to 2 passengers. It can serve all floors from 0 to 5 (n0 to n5).
- **slow0-0**, a slow elevator, is at floor 2 (n2) with 0 passengers. It can hold up to 1 passenger and can reach floors 0, 1, 2, and 3 (n0 to n3).

We have seven passengers on specific floors:
- **p0** is on floor 4 (n4).
- **p1** is on floor 1 (n1).
- **p2** is on floor 3 (n3).
- **p3** is on floor 4 (n4).
- **p4** is on floor 2 (n2).
- **p5** is on floor 5 (n5).
- **p6** is on floor 2 (n2).

Travel costs are as follows:
- Using a slow elevator costs 6 units per floor. For example, going from n0 to n1 costs 6. Longer jumps (e.g., n0 to n3) just add up accordingly (6 per floor traversed).
- Using the fast elevator between any of its reachable floors (e.g., n0 to n1 or n1 to n2) costs 4 units per floor. Longer jumps (e.g., n0 to n5) just add up accordingly (4 per floor traversed).

Child State ID: 1
Action Taken: (board p2 fast1 n3 0 1)
State Description: - **fast0**: At floor 0 (n0), 0/2 passengers.- **fast1**: At floor 3 (n3), 1/2 passengers (p2 on board).- **slow0-0**: At floor 2 (n2), 0/1 passengers.- **p0**: On floor 4 (n4).- **p1**: On floor 1 (n1).- **p2**: On board fast1.- **p3**: On floor 4 (n4).- **p4**: On floor 2 (n2).- **p5**: On floor 5 (n5).- **p6**: On floor 2 (n2).

Child State ID: 2
Action Taken: (board p4 slow0-0 n2 0 1)
State Description: - Fast elevator fast0 is at floor 0 with 0/2 passengers.- Fast elevator fast1 is at floor 3 with 0/2 passengers.- Slow elevator slow0-0 is at floor 2 with 1/1 passenger (p4 is on board).- Passenger p0 is on floor 4.- Passenger p1 is on floor 1.- Passenger p2 is on floor 3.- Passenger p3 is on floor 4.- Passenger p5 is on floor 5.- Passenger p6 is on floor 2.

Child State ID: 3
Action Taken: (move-up-fast fast1 n3 n4)
State Description: - **fast0** is at floor 0 (n0) with 0/2 passengers capacity.- **fast1** moved up to floor 4 (n4) with 0/2 capacity, ready to pick up passengers.- **slow0-0** remains at floor 2 (n2) with 0/1 capacity.- Passengers:     - **p0** and **p3** are on floor 4 (n4).    - **p1** is on floor 1 (n1).    - **p6** and **p4** are on floor 2 (n2).    - **p2** is on floor 3 (n3).    - **p5** is on floor 5 (n5).

