
Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:13 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 12 rows, 12 columns and 12 nonzeros
Model fingerprint: 0x7cdcc8e1
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [8e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+00]
Presolve removed 12 rows and 12 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.4288841e+04   0.000000e+00   0.000000e+00      0s

Solved in 0 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.428884101e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:15 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 12 rows, 33 columns and 33 nonzeros
Model fingerprint: 0x93f19631
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [5e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+00]
Presolve removed 12 rows and 33 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1750820e+04   0.000000e+00   0.000000e+00      0s

Solved in 0 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.175082027e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 12 rows, 48 columns and 48 nonzeros
Model fingerprint: 0xa4c9e642
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+00]
Presolve removed 12 rows and 48 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1527904e+04   0.000000e+00   0.000000e+00      0s

Solved in 0 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.152790442e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 12 rows, 56 columns and 56 nonzeros
Model fingerprint: 0xdfd3f992
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+00]
Presolve removed 12 rows and 56 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   0.000000e+00   0.000000e+00      0s

Solved in 0 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.140358414e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 12 rows, 58 columns and 58 nonzeros
Model fingerprint: 0xa1967cf9
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+00]
Presolve removed 12 rows and 58 columns
Presolve time: 0.00s
Presolve: All rows and columns removed
Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   0.000000e+00   0.000000e+00      0s

Solved in 0 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.140358414e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 13 rows, 58 columns and 104 nonzeros
Model fingerprint: 0x76cf75c9
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 12 rows and 47 columns
Presolve time: 0.00s
Presolved: 1 rows, 11 columns, 11 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    7.4091231e+03   9.000000e+00   0.000000e+00      0s
       1    1.1423238e+04   0.000000e+00   0.000000e+00      0s

Solved in 1 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.142323837e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 14 rows, 58 columns and 149 nonzeros
Model fingerprint: 0x0c21ba84
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 12 rows and 47 columns
Presolve time: 0.00s
Presolved: 2 rows, 11 columns, 21 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    7.4091231e+03   1.000000e+01   0.000000e+00      0s
       2    1.1466996e+04   0.000000e+00   0.000000e+00      0s

Solved in 2 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.146699618e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 15 rows, 58 columns and 191 nonzeros
Model fingerprint: 0x71c37088
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 10 rows and 43 columns
Presolve time: 0.00s
Presolved: 5 rows, 15 columns, 41 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   3.000000e+00   0.000000e+00      0s
       3    1.1486650e+04   0.000000e+00   0.000000e+00      0s

Solved in 3 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.148665042e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 16 rows, 58 columns and 232 nonzeros
Model fingerprint: 0x7586da18
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 10 rows and 43 columns
Presolve time: 0.00s
Presolved: 6 rows, 15 columns, 50 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   4.000000e+00   0.000000e+00      0s
       3    1.1505377e+04   0.000000e+00   0.000000e+00      0s

Solved in 3 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.150537672e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 17 rows, 58 columns and 276 nonzeros
Model fingerprint: 0x8fecff50
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 10 rows and 43 columns
Presolve time: 0.00s
Presolved: 7 rows, 15 columns, 62 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   5.000000e+00   0.000000e+00      0s
       4    1.1525031e+04   0.000000e+00   0.000000e+00      0s

Solved in 4 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.152503096e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 18 rows, 58 columns and 319 nonzeros
Model fingerprint: 0x6c8719b7
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 10 rows and 43 columns
Presolve time: 0.00s
Presolved: 8 rows, 15 columns, 73 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   6.000000e+00   0.000000e+00      0s
       5    1.1527892e+04   0.000000e+00   0.000000e+00      0s

Solved in 5 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.152789205e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 19 rows, 58 columns and 328 nonzeros
Model fingerprint: 0x88bf654d
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 8 rows and 39 columns
Presolve time: 0.00s
Presolved: 11 rows, 19 columns, 93 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   7.000000e+00   0.000000e+00      0s
       5    1.1595635e+04   0.000000e+00   0.000000e+00      0s

Solved in 5 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.159563545e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 20 rows, 58 columns and 341 nonzeros
Model fingerprint: 0x6089ccb4
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 36 columns
Presolve time: 0.00s
Presolved: 13 rows, 22 columns, 113 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   8.000000e+00   0.000000e+00      0s
       6    1.1625516e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.162551628e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 21 rows, 58 columns and 384 nonzeros
Model fingerprint: 0xc4ec3439
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 36 columns
Presolve time: 0.00s
Presolved: 14 rows, 22 columns, 128 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   9.000000e+00   0.000000e+00      0s
       6    1.1643279e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.164327932e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 22 rows, 58 columns and 400 nonzeros
Model fingerprint: 0x091215ea
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 36 columns
Presolve time: 0.00s
Presolved: 15 rows, 22 columns, 133 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.000000e+01   0.000000e+00      0s
       4    1.1740336e+04   0.000000e+00   0.000000e+00      0s

Solved in 4 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.174033560e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 23 rows, 58 columns and 411 nonzeros
Model fingerprint: 0x87139a6c
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 34 columns
Presolve time: 0.00s
Presolved: 16 rows, 24 columns, 156 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.100000e+01   0.000000e+00      0s
       6    1.1773579e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.177357911e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 24 rows, 58 columns and 424 nonzeros
Model fingerprint: 0xf6c4230d
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 33 columns
Presolve time: 0.00s
Presolved: 17 rows, 25 columns, 172 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.200000e+01   0.000000e+00      0s
       6    1.1784208e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.178420802e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 25 rows, 58 columns and 431 nonzeros
Model fingerprint: 0x8df41d58
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 33 columns
Presolve time: 0.00s
Presolved: 18 rows, 25 columns, 174 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.300000e+01   0.000000e+00      0s
       6    1.1847632e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.184763243e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 26 rows, 58 columns and 448 nonzeros
Model fingerprint: 0x8f4072e3
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 32 columns
Presolve time: 0.00s
Presolved: 19 rows, 26 columns, 189 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.400000e+01   0.000000e+00      0s
       9    1.1910563e+04   0.000000e+00   0.000000e+00      0s

Solved in 9 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.191056253e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 27 rows, 58 columns and 460 nonzeros
Model fingerprint: 0x21ea7779
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 32 columns
Presolve time: 0.00s
Presolved: 20 rows, 26 columns, 194 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.500000e+01   0.000000e+00      0s
       8    1.1930217e+04   0.000000e+00   0.000000e+00      0s

Solved in 8 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.193021676e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 28 rows, 58 columns and 466 nonzeros
Model fingerprint: 0x07f4dd8b
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 31 columns
Presolve time: 0.00s
Presolved: 21 rows, 27 columns, 209 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.600000e+01   0.000000e+00      0s
       9    1.1981444e+04   0.000000e+00   0.000000e+00      0s

Solved in 9 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.198144427e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 29 rows, 58 columns and 477 nonzeros
Model fingerprint: 0xb70100ce
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 31 columns
Presolve time: 0.00s
Presolved: 22 rows, 27 columns, 214 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.700000e+01   0.000000e+00      0s
       6    1.2277672e+04   0.000000e+00   0.000000e+00      0s

Solved in 6 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.227767225e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 30 rows, 58 columns and 520 nonzeros
Model fingerprint: 0x15e7c653
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 31 columns
Presolve time: 0.00s
Presolved: 23 rows, 27 columns, 235 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.800000e+01   0.000000e+00      0s
       8    1.2278154e+04   0.000000e+00   0.000000e+00      0s

Solved in 8 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.227815421e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 31 rows, 58 columns and 559 nonzeros
Model fingerprint: 0xb9a96570
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 31 columns
Presolve time: 0.00s
Presolved: 24 rows, 27 columns, 253 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   1.900000e+01   0.000000e+00      0s
       9    1.2294866e+04   0.000000e+00   0.000000e+00      0s

Solved in 9 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.229486580e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 32 rows, 58 columns and 567 nonzeros
Model fingerprint: 0x8f92e441
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 29 columns
Presolve time: 0.00s
Presolved: 25 rows, 29 columns, 282 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   2.000000e+01   0.000000e+00      0s
       9    1.2339050e+04   0.000000e+00   0.000000e+00      0s

Solved in 9 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.233905007e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 33 rows, 58 columns and 585 nonzeros
Model fingerprint: 0xbef7dbde
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 29 columns
Presolve time: 0.00s
Presolved: 26 rows, 29 columns, 291 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   2.100000e+01   0.000000e+00      0s
      10    1.2356244e+04   0.000000e+00   0.000000e+00      0s

Solved in 10 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235624361e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 58 columns and 600 nonzeros
Model fingerprint: 0x48c433ae
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 29 columns
Presolve time: 0.00s
Presolved: 27 rows, 29 columns, 299 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   2.200000e+01   0.000000e+00      0s
      10    1.2356244e+04   0.000000e+00   0.000000e+00      0s

Solved in 10 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235624361e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 34 rows, 58 columns and 600 nonzeros
Model fingerprint: 0x761c6bcc
Variable types: 0 continuous, 58 integer (58 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 10 rows and 2 columns
Presolve time: 0.00s
Presolved: 24 rows, 56 columns, 398 nonzeros
Variable types: 0 continuous, 56 integer (56 binary)
Found heuristic solution: objective 14269.186779

Root relaxation: objective 1.235624e+04, 19 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

*    0     0               0    12356.243615 12356.2436  0.00%     -    0s

Explored 1 nodes (19 simplex iterations) in 0.00 seconds (0.00 work units)
Thread count was 1 (of 192 available processors)

Solution count 3: 12356.2 14269.2 14288.8 

Optimal solution found (tolerance 1.00e-04)
Best objective 1.235624361485e+04, best bound 1.235624361485e+04, gap 0.0000%

User-callback calls 160, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:16 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 58 columns and 600 nonzeros
Model fingerprint: 0x48c433ae
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 7 rows and 29 columns
Presolve time: 0.00s
Presolved: 27 rows, 29 columns, 299 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1403584e+04   2.200000e+01   0.000000e+00      0s
      10    1.2356244e+04   0.000000e+00   0.000000e+00      0s

Solved in 10 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235624361e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:17 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 69 columns and 718 nonzeros
Model fingerprint: 0xc30b8a00
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 31 columns
Presolve time: 0.00s
Presolved: 29 rows, 38 columns, 382 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      13    1.2311680e+04   0.000000e+00   0.000000e+00      0s

Solved in 13 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.231167958e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 74 columns and 777 nonzeros
Model fingerprint: 0x954b32e1
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 33 columns
Presolve time: 0.00s
Presolved: 29 rows, 41 columns, 419 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      13    1.2250180e+04   0.000000e+00   0.000000e+00      0s

Solved in 13 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225017992e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 80 columns and 845 nonzeros
Model fingerprint: 0xb696ca32
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 35 columns
Presolve time: 0.00s
Presolved: 29 rows, 45 columns, 464 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      15    1.2250180e+04   0.000000e+00   0.000000e+00      0s

Solved in 15 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225017992e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 83 columns and 877 nonzeros
Model fingerprint: 0x4b70924d
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 36 columns
Presolve time: 0.00s
Presolved: 29 rows, 47 columns, 487 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      13    1.2222093e+04   0.000000e+00   0.000000e+00      0s

Solved in 13 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222209279e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 85 columns and 904 nonzeros
Model fingerprint: 0xe7df65a1
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 36 columns
Presolve time: 0.00s
Presolved: 29 rows, 49 columns, 514 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      14    1.2220401e+04   0.000000e+00   0.000000e+00      0s

Solved in 14 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222040116e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 34 rows, 88 columns and 952 nonzeros
Model fingerprint: 0xe7e1839e
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 5 rows and 39 columns
Presolve time: 0.00s
Presolved: 29 rows, 49 columns, 514 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.200000e+01   0.000000e+00      0s
      15    1.2220401e+04   0.000000e+00   0.000000e+00      0s

Solved in 15 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222040116e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 35 rows, 88 columns and 1016 nonzeros
Model fingerprint: 0x4eaae36f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 37 columns
Presolve time: 0.00s
Presolved: 31 rows, 51 columns, 560 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.300000e+01   0.000000e+00      0s
      17    1.2259372e+04   0.000000e+00   0.000000e+00      0s

Solved in 17 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225937206e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 36 rows, 88 columns and 1043 nonzeros
Model fingerprint: 0x045e5ef4
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 37 columns
Presolve time: 0.00s
Presolved: 32 rows, 51 columns, 575 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.400000e+01   0.000000e+00      0s
      16    1.2289739e+04   0.000000e+00   0.000000e+00      0s

Solved in 16 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.228973891e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 37 rows, 88 columns and 1113 nonzeros
Model fingerprint: 0xe4e88584
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 37 columns
Presolve time: 0.00s
Presolved: 33 rows, 51 columns, 614 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.500000e+01   0.000000e+00      0s
      18    1.2299858e+04   0.000000e+00   0.000000e+00      0s

Solved in 18 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.229985757e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 38 rows, 88 columns and 1118 nonzeros
Model fingerprint: 0x88fa15b5
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 36 columns
Presolve time: 0.00s
Presolved: 34 rows, 52 columns, 627 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.500000e+01   0.000000e+00      0s
      27    1.2338828e+04   0.000000e+00   0.000000e+00      0s

Solved in 27 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.233882847e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 39 rows, 88 columns and 1162 nonzeros
Model fingerprint: 0xf790e7da
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 36 columns
Presolve time: 0.00s
Presolved: 35 rows, 52 columns, 652 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.600000e+01   0.000000e+00      0s
      27    1.2338834e+04   0.000000e+00   0.000000e+00      0s

Solved in 27 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.233883434e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 40 rows, 88 columns and 1176 nonzeros
Model fingerprint: 0xae3fcd1a
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 36 rows, 53 columns, 674 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.700000e+01   0.000000e+00      0s
      29    1.2345575e+04   0.000000e+00   0.000000e+00      0s

Solved in 29 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.234557478e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 41 rows, 88 columns and 1240 nonzeros
Model fingerprint: 0x1ccfd4ae
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 37 rows, 53 columns, 710 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.800000e+01   0.000000e+00      0s
      28    1.2346119e+04   0.000000e+00   0.000000e+00      0s

Solved in 28 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.234611909e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 42 rows, 88 columns and 1277 nonzeros
Model fingerprint: 0xab7a0a79
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 38 rows, 53 columns, 731 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   2.900000e+01   0.000000e+00      0s
      28    1.2347137e+04   0.000000e+00   0.000000e+00      0s

Solved in 28 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.234713746e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 43 rows, 88 columns and 1312 nonzeros
Model fingerprint: 0xf27b67a6
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 39 rows, 53 columns, 750 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   3.000000e+01   0.000000e+00      0s
      30    1.2350360e+04   0.000000e+00   0.000000e+00      0s

Solved in 30 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235036005e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 44 rows, 88 columns and 1349 nonzeros
Model fingerprint: 0x6c3177b9
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 40 rows, 53 columns, 771 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   3.100000e+01   0.000000e+00      0s
      29    1.2356244e+04   0.000000e+00   0.000000e+00      0s

Solved in 29 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235624361e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 44 rows, 88 columns and 1349 nonzeros
Model fingerprint: 0xea64f7f7
Variable types: 0 continuous, 88 integer (88 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 8 rows and 2 columns
Presolve time: 0.00s
Presolved: 36 rows, 86 columns, 901 nonzeros
Variable types: 0 continuous, 86 integer (86 binary)
Found heuristic solution: objective 14269.186779

Root relaxation: objective 1.235624e+04, 40 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

*    0     0               0    12356.243615 12356.2436  0.00%     -    0s

Explored 1 nodes (40 simplex iterations) in 0.00 seconds (0.00 work units)
Thread count was 1 (of 192 available processors)

Solution count 3: 12356.2 14269.2 14288.8 

Optimal solution found (tolerance 1.00e-04)
Best objective 1.235624361485e+04, best bound 1.235624361485e+04, gap 0.0000%

User-callback calls 195, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:18 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 44 rows, 88 columns and 1349 nonzeros
Model fingerprint: 0x6c3177b9
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 4 rows and 35 columns
Presolve time: 0.00s
Presolved: 40 rows, 53 columns, 771 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1364613e+04   3.100000e+01   0.000000e+00      0s
      29    1.2356244e+04   0.000000e+00   0.000000e+00      0s

Solved in 29 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.235624361e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 44 rows, 95 columns and 1468 nonzeros
Model fingerprint: 0xb6e88274
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 42 rows, 60 columns, 854 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.100000e+01   0.000000e+00      0s
      28    1.2235804e+04   0.000000e+00   0.000000e+00      0s

Solved in 28 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.223580440e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 44 rows, 97 columns and 1504 nonzeros
Model fingerprint: 0x43541e35
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 42 rows, 62 columns, 890 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.100000e+01   0.000000e+00      0s
      28    1.2235804e+04   0.000000e+00   0.000000e+00      0s

Solved in 28 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.223580440e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 44 rows, 98 columns and 1519 nonzeros
Model fingerprint: 0x000f16fc
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 42 rows, 63 columns, 905 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.100000e+01   0.000000e+00      0s
      28    1.2235804e+04   0.000000e+00   0.000000e+00      0s

Solved in 28 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.223580440e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 45 rows, 98 columns and 1543 nonzeros
Model fingerprint: 0x5efed9e7
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 43 rows, 63 columns, 918 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.200000e+01   0.000000e+00      0s
      25    1.2246390e+04   0.000000e+00   0.000000e+00      0s

Solved in 25 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.224639034e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 46 rows, 98 columns and 1611 nonzeros
Model fingerprint: 0xf954dacb
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 44 rows, 63 columns, 960 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.300000e+01   0.000000e+00      0s
      26    1.2251011e+04   0.000000e+00   0.000000e+00      0s

Solved in 26 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225101116e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 47 rows, 98 columns and 1652 nonzeros
Model fingerprint: 0x980202a7
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 34 columns
Presolve time: 0.00s
Presolved: 45 rows, 64 columns, 998 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.400000e+01   0.000000e+00      0s
      30    1.2263862e+04   0.000000e+00   0.000000e+00      0s

Solved in 30 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.226386166e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 48 rows, 98 columns and 1659 nonzeros
Model fingerprint: 0x71d22724
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 32 columns
Presolve time: 0.00s
Presolved: 46 rows, 66 columns, 1047 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.500000e+01   0.000000e+00      0s
      29    1.2288836e+04   0.000000e+00   0.000000e+00      0s

Solved in 29 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.228883649e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 49 rows, 98 columns and 1717 nonzeros
Model fingerprint: 0x4187f5ad
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 31 columns
Presolve time: 0.00s
Presolved: 47 rows, 67 columns, 1107 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.600000e+01   0.000000e+00      0s
      33    1.2300998e+04   0.000000e+00   0.000000e+00      0s

Solved in 33 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.230099846e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 49 rows, 98 columns and 1717 nonzeros
Model fingerprint: 0xca843afe
Variable types: 0 continuous, 98 integer (98 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 2 rows and 1 columns
Presolve time: 0.00s
Presolved: 47 rows, 97 columns, 1481 nonzeros
Variable types: 0 continuous, 97 integer (97 binary)

Root relaxation: objective 1.230100e+04, 40 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

*    0     0               0    12300.998463 12300.9985  0.00%     -    0s

Explored 1 nodes (40 simplex iterations) in 0.00 seconds (0.00 work units)
Thread count was 1 (of 192 available processors)

Solution count 2: 12301 14288.8 

Optimal solution found (tolerance 1.00e-04)
Best objective 1.230099846306e+04, best bound 1.230099846306e+04, gap 0.0000%

User-callback calls 156, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:19 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 49 rows, 98 columns and 1717 nonzeros
Model fingerprint: 0x4187f5ad
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 31 columns
Presolve time: 0.00s
Presolved: 47 rows, 67 columns, 1107 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1273588e+04   3.600000e+01   0.000000e+00      0s
      33    1.2300998e+04   0.000000e+00   0.000000e+00      0s

Solved in 33 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.230099846e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:20 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 49 rows, 106 columns and 1869 nonzeros
Model fingerprint: 0x1992710e
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 33 columns
Presolve time: 0.00s
Presolved: 47 rows, 73 columns, 1230 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.400000e+01   0.000000e+00      0s
      35    1.2178060e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.217805956e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:20 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 49 rows, 113 columns and 1995 nonzeros
Model fingerprint: 0x39650ff2
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 34 columns
Presolve time: 0.00s
Presolved: 47 rows, 79 columns, 1343 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.400000e+01   0.000000e+00      0s
      35    1.2178060e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.217805956e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 49 rows, 115 columns and 2044 nonzeros
Model fingerprint: 0x962c56b2
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 47 rows, 80 columns, 1366 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.400000e+01   0.000000e+00      0s
      35    1.2178060e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.217805956e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 50 rows, 115 columns and 2056 nonzeros
Model fingerprint: 0x4b5fffae
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 48 rows, 80 columns, 1374 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.500000e+01   0.000000e+00      0s
      31    1.2223784e+04   0.000000e+00   0.000000e+00      0s

Solved in 31 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222378359e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 51 rows, 115 columns and 2101 nonzeros
Model fingerprint: 0xb157034f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 2 rows and 35 columns
Presolve time: 0.00s
Presolved: 49 rows, 80 columns, 1407 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.500000e+01   0.000000e+00      0s
      35    1.2229903e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222990324e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 52 rows, 115 columns and 2107 nonzeros
Model fingerprint: 0x62057412
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 33 columns
Presolve time: 0.00s
Presolved: 51 rows, 82 columns, 1427 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.600000e+01   0.000000e+00      0s
      42    1.2257470e+04   0.000000e+00   0.000000e+00      0s

Solved in 42 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225746971e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 53 rows, 115 columns and 2126 nonzeros
Model fingerprint: 0xfd3e9acd
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 32 columns
Presolve time: 0.00s
Presolved: 52 rows, 83 columns, 1463 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.700000e+01   0.000000e+00      0s
      48    1.2277838e+04   0.000000e+00   0.000000e+00      0s

Solved in 48 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.227783813e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 115 columns and 2197 nonzeros
Model fingerprint: 0x742be140
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 32 columns
Presolve time: 0.00s
Presolved: 53 rows, 83 columns, 1514 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.800000e+01   0.000000e+00      0s
      47    1.2283167e+04   0.000000e+00   0.000000e+00      0s

Solved in 47 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.228316741e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 54 rows, 115 columns and 2197 nonzeros
Model fingerprint: 0x4876d31a
Variable types: 0 continuous, 115 integer (115 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 2 rows and 1 columns
Presolve time: 0.00s
Presolved: 52 rows, 114 columns, 2080 nonzeros
Variable types: 0 continuous, 114 integer (114 binary)

Root relaxation: objective 1.228317e+04, 58 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

*    0     0               0    12283.167415 12283.1674  0.00%     -    0s

Explored 1 nodes (58 simplex iterations) in 0.00 seconds (0.01 work units)
Thread count was 1 (of 192 available processors)

Solution count 2: 12283.2 14288.8 

Optimal solution found (tolerance 1.00e-04)
Best objective 1.228316741462e+04, best bound 1.228316741462e+04, gap 0.0000%

User-callback calls 156, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 115 columns and 2197 nonzeros
Model fingerprint: 0x742be140
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 32 columns
Presolve time: 0.00s
Presolved: 53 rows, 83 columns, 1514 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.800000e+01   0.000000e+00      0s
      47    1.2283167e+04   0.000000e+00   0.000000e+00      0s

Solved in 47 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.228316741e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 117 columns and 2232 nonzeros
Model fingerprint: 0xcff4e8bf
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 32 columns
Presolve time: 0.00s
Presolved: 53 rows, 85 columns, 1549 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.800000e+01   0.000000e+00      0s
      45    1.2275077e+04   0.000000e+00   0.000000e+00      0s

Solved in 45 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.227507718e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 118 columns and 2255 nonzeros
Model fingerprint: 0xaf8363c1
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 33 columns
Presolve time: 0.00s
Presolved: 53 rows, 85 columns, 1549 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1127510e+04   3.800000e+01   0.000000e+00      0s
      22    1.2201314e+04   0.000000e+00   0.000000e+00      0s

Solved in 22 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.220131425e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:21 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 121 columns and 2330 nonzeros
Model fingerprint: 0x83b6f27b
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 53 rows, 85 columns, 1549 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.1049747e+04   3.600000e+01   0.000000e+00      0s
      31    1.2120189e+04   0.000000e+00   0.000000e+00      0s

Solved in 31 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.212018933e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 123 columns and 2384 nonzeros
Model fingerprint: 0xed06eaa2
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 38 columns
Presolve time: 0.00s
Presolved: 53 rows, 85 columns, 1549 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   3.800000e+01   0.000000e+00      0s
      36    1.2120189e+04   0.000000e+00   0.000000e+00      0s

Solved in 36 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.212018933e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 54 rows, 124 columns and 2409 nonzeros
Model fingerprint: 0xf85ca9b7
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 39 columns
Presolve time: 0.00s
Presolved: 53 rows, 85 columns, 1549 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   3.800000e+01   0.000000e+00      0s
      36    1.2120189e+04   0.000000e+00   0.000000e+00      0s

Solved in 36 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.212018933e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 55 rows, 124 columns and 2424 nonzeros
Model fingerprint: 0x4c3d6f49
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 54 rows, 88 columns, 1633 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   3.900000e+01   0.000000e+00      0s
      48    1.2247766e+04   0.000000e+00   0.000000e+00      0s

Solved in 48 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.224776611e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 56 rows, 124 columns and 2460 nonzeros
Model fingerprint: 0x97350244
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 55 rows, 88 columns, 1656 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   3.900000e+01   0.000000e+00      0s
      36    1.2250226e+04   0.000000e+00   0.000000e+00      0s

Solved in 36 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225022631e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 57 rows, 124 columns and 2516 nonzeros
Model fingerprint: 0x2a8ccc29
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 56 rows, 88 columns, 1693 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.000000e+01   0.000000e+00      0s
      35    1.2252096e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225209551e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 58 rows, 124 columns and 2588 nonzeros
Model fingerprint: 0x4d375676
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 57 rows, 88 columns, 1743 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.100000e+01   0.000000e+00      0s
      37    1.2255430e+04   0.000000e+00   0.000000e+00      0s

Solved in 37 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225543025e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 59 rows, 124 columns and 2641 nonzeros
Model fingerprint: 0x6329adba
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 58 rows, 88 columns, 1777 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.200000e+01   0.000000e+00      0s
      41    1.2255702e+04   0.000000e+00   0.000000e+00      0s

Solved in 41 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225570240e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 124 columns and 2694 nonzeros
Model fingerprint: 0x742dd29f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 35 columns
Presolve time: 0.00s
Presolved: 59 rows, 89 columns, 1829 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.300000e+01   0.000000e+00      0s
      41    1.2257869e+04   0.000000e+00   0.000000e+00      0s

Solved in 41 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225786941e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 60 rows, 124 columns and 2694 nonzeros
Model fingerprint: 0x5e1a6dc0
Variable types: 0 continuous, 124 integer (124 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 1 rows and 1 columns
Presolve time: 0.00s
Presolved: 59 rows, 123 columns, 2460 nonzeros
Variable types: 0 continuous, 123 integer (123 binary)

Root relaxation: objective 1.225787e+04, 51 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0 12257.8694    0   20 14288.8410 12257.8694  14.2%     -    0s
H    0     0                    12613.168932 12257.8694  2.82%     -    0s
H    0     0                    12569.392454 12257.8694  2.48%     -    0s
H    0     0                    12351.822921 12257.8694  0.76%     -    0s
H    0     0                    12300.626834 12257.8694  0.35%     -    0s
*    0     0               0    12279.755119 12279.7551  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  Zero half: 1

Explored 1 nodes (61 simplex iterations) in 0.01 seconds (0.02 work units)
Thread count was 1 (of 192 available processors)

Solution count 6: 12279.8 12300.6 12351.8 ... 14288.8

Optimal solution found (tolerance 1.00e-04)
Best objective 1.227975511889e+04, best bound 1.227975511889e+04, gap 0.0000%

User-callback calls 177, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 124 columns and 2694 nonzeros
Model fingerprint: 0x742dd29f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 35 columns
Presolve time: 0.00s
Presolved: 59 rows, 89 columns, 1829 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.300000e+01   0.000000e+00      0s
      41    1.2257869e+04   0.000000e+00   0.000000e+00      0s

Solved in 41 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225786941e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 126 columns and 2736 nonzeros
Model fingerprint: 0xbd5ad824
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 59 rows, 90 columns, 1850 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.300000e+01   0.000000e+00      0s
      48    1.2257869e+04   0.000000e+00   0.000000e+00      0s

Solved in 48 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225786941e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 126 columns and 2736 nonzeros
Model fingerprint: 0xbd5ad824
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 59 rows, 90 columns, 1850 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.300000e+01   0.000000e+00      0s
      48    1.2257869e+04   0.000000e+00   0.000000e+00      0s

Solved in 48 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225786941e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 60 rows, 126 columns and 2736 nonzeros
Model fingerprint: 0xc7d1b2c4
Variable types: 0 continuous, 126 integer (126 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 1 rows and 1 columns
Presolve time: 0.00s
Presolved: 59 rows, 125 columns, 2488 nonzeros
Variable types: 0 continuous, 125 integer (125 binary)

Root relaxation: objective 1.225787e+04, 56 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0 12257.8694    0   20 14288.8410 12257.8694  14.2%     -    0s
H    0     0                    12749.529631 12257.8694  3.86%     -    0s
H    0     0                    12624.542782 12257.8694  2.90%     -    0s
H    0     0                    12532.831067 12257.8694  2.19%     -    0s
H    0     0                    12468.874714 12257.8694  1.69%     -    0s
H    0     0                    12318.047668 12257.8694  0.49%     -    0s
*    0     0               0    12279.755119 12279.7551  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  Zero half: 1

Explored 1 nodes (65 simplex iterations) in 0.01 seconds (0.02 work units)
Thread count was 1 (of 192 available processors)

Solution count 7: 12279.8 12318 12468.9 ... 14288.8

Optimal solution found (tolerance 1.00e-04)
Best objective 1.227975511889e+04, best bound 1.227975511889e+04, gap 0.0000%

User-callback calls 179, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:22 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 126 columns and 2736 nonzeros
Model fingerprint: 0xbd5ad824
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 59 rows, 90 columns, 1850 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0978922e+04   4.300000e+01   0.000000e+00      0s
      48    1.2257869e+04   0.000000e+00   0.000000e+00      0s

Solved in 48 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.225786941e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 131 columns and 2851 nonzeros
Model fingerprint: 0x7e97f3f2
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 37 columns
Presolve time: 0.00s
Presolved: 59 rows, 94 columns, 1940 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.400000e+01   0.000000e+00      0s
      30    1.2184933e+04   0.000000e+00   0.000000e+00      0s

Solved in 30 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.218493285e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 132 columns and 2865 nonzeros
Model fingerprint: 0x1ae8bc24
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 37 columns
Presolve time: 0.00s
Presolved: 59 rows, 95 columns, 1954 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.400000e+01   0.000000e+00      0s
      32    1.2182264e+04   0.000000e+00   0.000000e+00      0s

Solved in 32 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.218226415e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 60 rows, 133 columns and 2885 nonzeros
Model fingerprint: 0xdd5e740e
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 37 columns
Presolve time: 0.00s
Presolved: 59 rows, 96 columns, 1974 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.400000e+01   0.000000e+00      0s
      32    1.2182264e+04   0.000000e+00   0.000000e+00      0s

Solved in 32 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.218226415e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 61 rows, 133 columns and 2899 nonzeros
Model fingerprint: 0x2e35b23c
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 60 rows, 97 columns, 2001 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.500000e+01   0.000000e+00      0s
      35    1.2225783e+04   0.000000e+00   0.000000e+00      0s

Solved in 35 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222578298e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 62 rows, 133 columns and 2925 nonzeros
Model fingerprint: 0xe50b850f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 61 rows, 97 columns, 2018 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      41    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 41 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 62 rows, 133 columns and 2925 nonzeros
Model fingerprint: 0x356cb84b
Variable types: 0 continuous, 133 integer (133 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 1 rows and 1 columns
Presolve time: 0.00s
Presolved: 61 rows, 132 columns, 2714 nonzeros
Variable types: 0 continuous, 132 integer (132 binary)

Root relaxation: objective 1.222696e+04, 60 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0 12226.9638    0   16 14288.8410 12226.9638  14.4%     -    0s
H    0     0                    12462.061068 12226.9638  1.89%     -    0s
H    0     0                    12293.992386 12226.9638  0.55%     -    0s
H    0     0                    12288.654997 12226.9638  0.50%     -    0s
*    0     0               0    12244.181812 12244.1818  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  Zero half: 1

Explored 1 nodes (65 simplex iterations) in 0.01 seconds (0.02 work units)
Thread count was 1 (of 192 available processors)

Solution count 5: 12244.2 12288.7 12294 ... 14288.8

Optimal solution found (tolerance 1.00e-04)
Best objective 1.224418181225e+04, best bound 1.224418181225e+04, gap 0.0000%

User-callback calls 175, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:23 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 62 rows, 133 columns and 2925 nonzeros
Model fingerprint: 0xe50b850f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 61 rows, 97 columns, 2018 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      41    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 41 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:24 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 62 rows, 135 columns and 2970 nonzeros
Model fingerprint: 0x5bd2849f
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 61 rows, 99 columns, 2063 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      39    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 39 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:24 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 62 rows, 136 columns and 2985 nonzeros
Model fingerprint: 0x55c477bb
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 61 rows, 100 columns, 2078 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      42    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 42 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:24 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 62 rows, 136 columns and 2985 nonzeros
Model fingerprint: 0x55c477bb
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 36 columns
Presolve time: 0.00s
Presolved: 61 rows, 100 columns, 2078 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      42    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 42 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:24 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Set parameter LazyConstraints to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1
LazyConstraints  1

Optimize a model with 62 rows, 136 columns and 2985 nonzeros
Model fingerprint: 0xb834ac4a
Variable types: 0 continuous, 136 integer (136 binary)
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [1e+00, 1e+00]
  RHS range        [1e+00, 1e+01]
Found heuristic solution: objective 14288.841015
Presolve removed 1 rows and 1 columns
Presolve time: 0.00s
Presolved: 61 rows, 135 columns, 2770 nonzeros
Variable types: 0 continuous, 135 integer (135 binary)

Root relaxation: objective 1.222696e+04, 67 iterations, 0.00 seconds (0.00 work units)

    Nodes    |    Current Node    |     Objective Bounds      |     Work
 Expl Unexpl |  Obj  Depth IntInf | Incumbent    BestBd   Gap | It/Node Time

     0     0 12226.9638    0   16 14288.8410 12226.9638  14.4%     -    0s
H    0     0                    13275.672329 12226.9638  7.90%     -    0s
H    0     0                    12587.208378 12226.9638  2.86%     -    0s
H    0     0                    12569.799106 12226.9638  2.73%     -    0s
H    0     0                    12380.269778 12226.9638  1.24%     -    0s
H    0     0                    12350.820876 12226.9638  1.00%     -    0s
*    0     0               0    12244.181812 12244.1818  0.00%     -    0s

Cutting planes:
  Clique: 1
  MIR: 1
  Zero half: 1
  Lazy constraints: 1

Explored 1 nodes (73 simplex iterations) in 0.01 seconds (0.02 work units)
Thread count was 1 (of 192 available processors)

Solution count 7: 12244.2 12350.8 12380.3 ... 14288.8

Optimal solution found (tolerance 1.00e-04)
Best objective 1.224418181225e+04, best bound 1.224418181225e+04, gap 0.0000%

User-callback calls 181, time in user-callback 0.00 sec

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:24 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 63 rows, 136 columns and 3006 nonzeros
Model fingerprint: 0x6b2c6c38
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 31 columns
Presolve time: 0.00s
Presolved: 62 rows, 105 columns, 2221 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      42    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 42 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04

Gurobi 12.0.1 (linux64) logging started Sun May  4 20:54:25 2025

Set parameter LogFile to value "/home/yryang/Bayesian_Network/my_bn/Result/lucas.txt_GurobiLog.txt"
Set parameter OutputFlag to value 1
Set parameter Threads to value 1
Gurobi Optimizer version 12.0.1 build v12.0.1rc0 (linux64 - "Ubuntu 22.04.5 LTS")

CPU model: INTEL(R) XEON(R) PLATINUM 8575C, instruction set [SSE2|AVX|AVX2|AVX512]
Thread count: 96 physical cores, 192 logical processors, using up to 1 threads

Non-default parameters:
LogToConsole  0
Threads  1

Optimize a model with 63 rows, 136 columns and 3006 nonzeros
Model fingerprint: 0x6b2c6c38
Coefficient statistics:
  Matrix range     [1e+00, 1e+00]
  Objective range  [4e+02, 1e+03]
  Bounds range     [0e+00, 0e+00]
  RHS range        [1e+00, 1e+01]
Presolve removed 1 rows and 31 columns
Presolve time: 0.00s
Presolved: 62 rows, 105 columns, 2221 nonzeros

Iteration    Objective       Primal Inf.    Dual Inf.      Time
       0    1.0862707e+04   4.600000e+01   0.000000e+00      0s
      42    1.2226964e+04   0.000000e+00   0.000000e+00      0s

Solved in 42 iterations and 0.00 seconds (0.00 work units)
Optimal objective  1.222696385e+04
