Set parameter TokenServer to value "gurobi.cc.ic.ac.uk"

********************************
*** COLUMN GENERATION SCHEME ***
********************************

*** OUTER ITERATION 0 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 0.81753 seconds.
    local lower bound updated to 0.191378
    local upper bound updated to 0.367584

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 0.597155 seconds.
    local lower bound updated to 0.35577
    local upper bound updated to 0.35577
The Primal step takes 1.41696 (S)
lower bound updated to 0.35577

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.397007
    local lower bound updated to 0.391359

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.397007
    local lower bound updated to 0.395402

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.395402
    local lower bound updated to 0.395402
The Dual step takes 0.131051 (S)
upper bound updated to 0.395402
*** OUTER ITERATION 1 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 5.85906 seconds.
    local lower bound updated to 0.267023
    local upper bound updated to 0.366091

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 10.6613 seconds.
    local lower bound updated to 0.353288
    local upper bound updated to 0.357113

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 2.74335 seconds.
    local lower bound updated to 0.356199
    local upper bound updated to 0.356262

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 1.34237 seconds.
    local lower bound updated to 0.356199
    local upper bound updated to 0.35623

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 2.50738 seconds.
    local lower bound updated to 0.35623
    local upper bound updated to 0.35623
The Primal step takes 23.1253 (S)
lower bound updated to 0.35623

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.44097
    local lower bound updated to 0.367914

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.390003
    local lower bound updated to 0.374927

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.389539
    local lower bound updated to 0.384462

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.384462
    local lower bound updated to 0.384462
The Dual step takes 0.993925 (S)
upper bound updated to 0.384462
*** OUTER ITERATION 2 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 6.8522 seconds.
    local lower bound updated to 0.276647
    local upper bound updated to 0.359819

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 12.1195 seconds.
    local lower bound updated to 0.352948
    local upper bound updated to 0.358208

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 9.59861 seconds.
    local lower bound updated to 0.352948
    local upper bound updated to 0.357409

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 33.6987 seconds.
    local lower bound updated to 0.354292
    local upper bound updated to 0.357127

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 22.2655 seconds.
    local lower bound updated to 0.356016
    local upper bound updated to 0.356741

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 5.32916 seconds.
    local lower bound updated to 0.356016
    local upper bound updated to 0.356595

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 12.7999 seconds.
    local lower bound updated to 0.356259
    local upper bound updated to 0.356288

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 12.2898 seconds.
    local lower bound updated to 0.356259
    local upper bound updated to 0.356286

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 10.2697 seconds.
    local lower bound updated to 0.356286
    local upper bound updated to 0.356286
The Primal step takes 125.268 (S)
lower bound updated to 0.356286

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.395068
    local lower bound updated to 0.359383

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.395068
    local lower bound updated to 0.360922

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.383602
    local lower bound updated to 0.365066

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.383602
    local lower bound updated to 0.369501

    ++ RESTRICTED DUAL ITERATION 5 ++
    local upper bound updated to 0.383178
    local lower bound updated to 0.37099

    ++ RESTRICTED DUAL ITERATION 6 ++
    local upper bound updated to 0.381449
    local lower bound updated to 0.373722

    ++ RESTRICTED DUAL ITERATION 7 ++
    local upper bound updated to 0.381449
    local lower bound updated to 0.375521

    ++ RESTRICTED DUAL ITERATION 8 ++
    local upper bound updated to 0.380115
    local lower bound updated to 0.375999

    ++ RESTRICTED DUAL ITERATION 9 ++
    local upper bound updated to 0.380115
    local lower bound updated to 0.376216

    ++ RESTRICTED DUAL ITERATION 10 ++
    local upper bound updated to 0.380115
    local lower bound updated to 0.376277

    ++ RESTRICTED DUAL ITERATION 11 ++
    local upper bound updated to 0.376277
    local lower bound updated to 0.376277
The Dual step takes 17.7761 (S)
upper bound updated to 0.376277
*** OUTER ITERATION 3 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 25.0862 seconds.
    local lower bound updated to 0.305262
    local upper bound updated to 0.371771

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 3.0065 seconds.
    local lower bound updated to 0.305262
    local upper bound updated to 0.364084

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 32.406 seconds.
    local lower bound updated to 0.34688
    local upper bound updated to 0.36116

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 138.307 seconds.
    local lower bound updated to 0.355649
    local upper bound updated to 0.360989

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.044 seconds.
    local lower bound updated to 0.356277
    local upper bound updated to 0.360582

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 98.0117 seconds.
    local lower bound updated to 0.358445
    local upper bound updated to 0.360091

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 64.6432 seconds.
    local lower bound updated to 0.358445
    local upper bound updated to 0.359974

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 100.16 seconds.
    local lower bound updated to 0.358757
    local upper bound updated to 0.359974

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 115.35 seconds.
    local lower bound updated to 0.358757
    local upper bound updated to 0.35992

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 115.72 seconds.
    local lower bound updated to 0.358901
    local upper bound updated to 0.359835

    ++ RESTRICTED PRIMAL ITERATION 11 ++
One worst-case parameter optimization takes 200.046 seconds.
    local lower bound updated to 0.359174
    local upper bound updated to 0.359767

    ++ RESTRICTED PRIMAL ITERATION 12 ++
One worst-case parameter optimization takes 200.033 seconds.
    local lower bound updated to 0.359212
    local upper bound updated to 0.359744

    ++ RESTRICTED PRIMAL ITERATION 13 ++
One worst-case parameter optimization takes 200.04 seconds.
    local lower bound updated to 0.359311
    local upper bound updated to 0.359723

    ++ RESTRICTED PRIMAL ITERATION 14 ++
One worst-case parameter optimization takes 200.046 seconds.
    local lower bound updated to 0.359311
    local upper bound updated to 0.359672

    ++ RESTRICTED PRIMAL ITERATION 15 ++
One worst-case parameter optimization takes 200.034 seconds.
    local lower bound updated to 0.359446
    local upper bound updated to 0.359666

    ++ RESTRICTED PRIMAL ITERATION 16 ++
One worst-case parameter optimization takes 200.038 seconds.
    local lower bound updated to 0.359604
    local upper bound updated to 0.359659

    ++ RESTRICTED PRIMAL ITERATION 17 ++
One worst-case parameter optimization takes 200.034 seconds.
    local lower bound updated to 0.359648
    local upper bound updated to 0.359659

    ++ RESTRICTED PRIMAL ITERATION 18 ++
One worst-case parameter optimization takes 145.098 seconds.
    local lower bound updated to 0.359659
    local upper bound updated to 0.359659
The Primal step takes 2438.27 (S)
lower bound updated to 0.359659

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.381974
    local lower bound updated to 0.359693

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.379346
    local lower bound updated to 0.361091

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.374422
    local lower bound updated to 0.362056

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.374099
    local lower bound updated to 0.362907

    ++ RESTRICTED DUAL ITERATION 5 ++
    local upper bound updated to 0.373018
    local lower bound updated to 0.367183

    ++ RESTRICTED DUAL ITERATION 6 ++
    local upper bound updated to 0.373018
    local lower bound updated to 0.367333

    ++ RESTRICTED DUAL ITERATION 7 ++
    local upper bound updated to 0.373018
    local lower bound updated to 0.367718

    ++ RESTRICTED DUAL ITERATION 8 ++
    local upper bound updated to 0.373018
    local lower bound updated to 0.368497

    ++ RESTRICTED DUAL ITERATION 9 ++
    local upper bound updated to 0.371789
    local lower bound updated to 0.368576

    ++ RESTRICTED DUAL ITERATION 10 ++
    local upper bound updated to 0.371789
    local lower bound updated to 0.368654

    ++ RESTRICTED DUAL ITERATION 11 ++
    local upper bound updated to 0.369053
    local lower bound updated to 0.368659

    ++ RESTRICTED DUAL ITERATION 12 ++
    local upper bound updated to 0.368659
    local lower bound updated to 0.368659
The Dual step takes 30.7004 (S)
upper bound updated to 0.368659
*** OUTER ITERATION 4 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 133.544 seconds.
    local lower bound updated to 0.324271
    local upper bound updated to 0.368473

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.049 seconds.
    local lower bound updated to 0.361586
    local upper bound updated to 0.367816

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 200.054 seconds.
    local lower bound updated to 0.361586
    local upper bound updated to 0.365559

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 200.053 seconds.
    local lower bound updated to 0.361586
    local upper bound updated to 0.365283

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.069 seconds.
    local lower bound updated to 0.361586
    local upper bound updated to 0.364933

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 200.054 seconds.
    local lower bound updated to 0.361586
    local upper bound updated to 0.364901

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 200.043 seconds.
    local lower bound updated to 0.363547
    local upper bound updated to 0.364872

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 200.066 seconds.
    local lower bound updated to 0.364076
    local upper bound updated to 0.364868

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 200.053 seconds.
    local lower bound updated to 0.364076
    local upper bound updated to 0.364857

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 200.042 seconds.
    local lower bound updated to 0.364244
    local upper bound updated to 0.36484

    ++ RESTRICTED PRIMAL ITERATION 11 ++
One worst-case parameter optimization takes 200.04 seconds.
    local lower bound updated to 0.364244
    local upper bound updated to 0.364834

    ++ RESTRICTED PRIMAL ITERATION 12 ++
One worst-case parameter optimization takes 200.056 seconds.
    local lower bound updated to 0.364244
    local upper bound updated to 0.36475

    ++ RESTRICTED PRIMAL ITERATION 13 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.36426
    local upper bound updated to 0.364734

    ++ RESTRICTED PRIMAL ITERATION 14 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.364592
    local upper bound updated to 0.364733

    ++ RESTRICTED PRIMAL ITERATION 15 ++
One worst-case parameter optimization takes 200.052 seconds.
    local lower bound updated to 0.364592
    local upper bound updated to 0.36473

    ++ RESTRICTED PRIMAL ITERATION 16 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.364592
    local upper bound updated to 0.364727

    ++ RESTRICTED PRIMAL ITERATION 17 ++
One worst-case parameter optimization takes 200.061 seconds.
    local lower bound updated to 0.364628
    local upper bound updated to 0.364723

    ++ RESTRICTED PRIMAL ITERATION 18 ++
One worst-case parameter optimization takes 200.054 seconds.
    local lower bound updated to 0.364628
    local upper bound updated to 0.364719

    ++ RESTRICTED PRIMAL ITERATION 19 ++
One worst-case parameter optimization takes 200.069 seconds.
    local lower bound updated to 0.364628
    local upper bound updated to 0.364711

    ++ RESTRICTED PRIMAL ITERATION 20 ++
One worst-case parameter optimization takes 200.041 seconds.
    local lower bound updated to 0.364711
    local upper bound updated to 0.364711
The Primal step takes 3934.85 (S)
lower bound updated to 0.364711

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.377324
    local lower bound updated to 0.364711

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.377324
    local lower bound updated to 0.365413

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.372337
    local lower bound updated to 0.365613

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.372337
    local lower bound updated to 0.36575

    ++ RESTRICTED DUAL ITERATION 5 ++
    local upper bound updated to 0.36985
    local lower bound updated to 0.365876

    ++ RESTRICTED DUAL ITERATION 6 ++
    local upper bound updated to 0.368053
    local lower bound updated to 0.365913

    ++ RESTRICTED DUAL ITERATION 7 ++
    local upper bound updated to 0.36723
    local lower bound updated to 0.365931

    ++ RESTRICTED DUAL ITERATION 8 ++
    local upper bound updated to 0.365982
    local lower bound updated to 0.365932

    ++ RESTRICTED DUAL ITERATION 9 ++
    local upper bound updated to 0.365932
    local lower bound updated to 0.365932
The Dual step takes 68.4099 (S)
upper bound updated to 0.365932
*** OUTER ITERATION 5 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.329766
    local upper bound updated to 0.365932

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.057 seconds.
    local lower bound updated to 0.361107
    local upper bound updated to 0.365886

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 200.06 seconds.
    local lower bound updated to 0.363992
    local upper bound updated to 0.365716

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 200.059 seconds.
    local lower bound updated to 0.363992
    local upper bound updated to 0.36567

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.054 seconds.
    local lower bound updated to 0.365218
    local upper bound updated to 0.365556

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 200.055 seconds.
    local lower bound updated to 0.365325
    local upper bound updated to 0.365542

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 200.062 seconds.
    local lower bound updated to 0.365325
    local upper bound updated to 0.365538

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 200.055 seconds.
    local lower bound updated to 0.36541
    local upper bound updated to 0.365537

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 200.056 seconds.
    local lower bound updated to 0.365422
    local upper bound updated to 0.365536

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 200.049 seconds.
    local lower bound updated to 0.365505
    local upper bound updated to 0.365536

    ++ RESTRICTED PRIMAL ITERATION 11 ++
One worst-case parameter optimization takes 200.047 seconds.
    local lower bound updated to 0.365505
    local upper bound updated to 0.365535

    ++ RESTRICTED PRIMAL ITERATION 12 ++
One worst-case parameter optimization takes 200.055 seconds.
    local lower bound updated to 0.365505
    local upper bound updated to 0.365528

    ++ RESTRICTED PRIMAL ITERATION 13 ++
One worst-case parameter optimization takes 200.059 seconds.
    local lower bound updated to 0.365505
    local upper bound updated to 0.365528

    ++ RESTRICTED PRIMAL ITERATION 14 ++
One worst-case parameter optimization takes 200.058 seconds.
    local lower bound updated to 0.365528
    local upper bound updated to 0.365528
The Primal step takes 2801.06 (S)
lower bound updated to 0.365528

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.38087
    local lower bound updated to 0.365528

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.369049
    local lower bound updated to 0.365559

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.369049
    local lower bound updated to 0.365559

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.365559
    local lower bound updated to 0.365559
The Dual step takes 53.0363 (S)
upper bound updated to 0.365559
*** OUTER ITERATION 6 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.057 seconds.
    local lower bound updated to 0.330926
    local upper bound updated to 0.365559

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.053 seconds.
    local lower bound updated to 0.3653
    local upper bound updated to 0.365551

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 200.07 seconds.
    local lower bound updated to 0.365427
    local upper bound updated to 0.365547

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 200.056 seconds.
    local lower bound updated to 0.365532
    local upper bound updated to 0.365545

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.05 seconds.
    local lower bound updated to 0.365545
    local upper bound updated to 0.365545
The Primal step takes 1000.39 (S)
lower bound updated to 0.365545

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.380067
    local lower bound updated to 0.365545

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.365545
    local lower bound updated to 0.365545
The Dual step takes 28.4611 (S)
upper bound updated to 0.365545
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.044 seconds.
    local lower bound updated to 0.330926
    local upper bound updated to 0.365545

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.059 seconds.
    local lower bound updated to 0.365545
    local upper bound updated to 0.365545
The time obtain the optimal randomized assortment is 10924 (S)
Now, the randomization optimization has been finished. We are checking the lower bound ....
Set parameter OutputFlag to value 1
Set parameter LogFile to value "/rds/general/user/zw1819/home/RAO/RAO_MC/FinalRun/RecFMResult/logFile_15_4_200.000000_203816.log"
The computation time limit for a lower bound is 75070
The model output flag is 1
Gurobi Optimizer version 9.5.1 build v9.5.1rc2 (linux64)
Thread count: 24 physical cores, 48 logical processors, using up to 4 threads
Optimize a model with 6000 rows, 4868 columns and 19130 nonzeros
Model fingerprint: 0x5b73e961
Variable types: 4811 continuous, 57 integer (57 binary)
Coefficient statistics:
  Matrix range     [5e-04, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [3e-01, 1e+00]
Presolve removed 1685 rows and 3071 columns
Presolve time: 0.08s
Presolved: 4315 rows, 1797 columns, 16555 nonzeros
Variable types: 1741 continuous, 56 integer (56 binary)
Found heuristic solution: objective 0.4323607
Found heuristic solution: objective 0.4253208
Found heuristic solution: objective 0.3834552

Root relaxation: objective 2.792108e-01, 443 iterations, 0.01 seconds (0.01 work units)

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

     0     0    0.27921    0   22    0.38346    0.27921  27.2%     -    0s
H    0     0                       0.3791472    0.27921  26.4%     -    0s
H    0     0                       0.3777541    0.27921  26.1%     -    0s
     0     0    0.28612    0   26    0.37775    0.28612  24.3%     -    0s
     0     0    0.28612    0   26    0.37775    0.28612  24.3%     -    0s
H    0     0                       0.3731950    0.29622  20.6%     -    1s
     0     0    0.29622    0   27    0.37320    0.29622  20.6%     -    1s
     0     0    0.29626    0   27    0.37320    0.29626  20.6%     -    1s
H    0     0                       0.3723151    0.30147  19.0%     -    1s
     0     0    0.30147    0   28    0.37232    0.30147  19.0%     -    1s
H    0     0                       0.3716609    0.30229  18.7%     -    1s
     0     0    0.30336    0   30    0.37166    0.30336  18.4%     -    1s
     0     0    0.30971    0   28    0.37166    0.30971  16.7%     -    1s
H    0     0                       0.3710583    0.30971  16.5%     -    1s
H    0     0                       0.3700153    0.31084  16.0%     -    1s
     0     0    0.31084    0   30    0.37002    0.31084  16.0%     -    1s
     0     0    0.31142    0   29    0.37002    0.31142  15.8%     -    2s
H    0     0                       0.3695672    0.31142  15.7%     -    2s
H    0     0                       0.3664144    0.31142  15.0%     -    8s
     0     2    0.31142    0   29    0.36641    0.31142  15.0%     -    9s
    96    72    0.32982    4   22    0.36641    0.32404  11.6%  89.8   10s
   194   123    0.36113   10    8    0.36641    0.32532  11.2%  72.7   15s
H  207   123                       0.3663726    0.32532  11.2%  70.1   15s
H  263   149                       0.3663726    0.32569  11.1%  68.1   16s
H  373   204                       0.3655448    0.32569  10.9%  63.8   17s
   432   214     cutoff   20         0.36554    0.32749  10.4%  61.9   20s
   788   385    0.33584    8   14    0.36554    0.33072  9.53%  60.5   25s
  1487   592    0.36016   14   10    0.36554    0.33373  8.70%  54.7   30s
  1786   642     cutoff   16         0.36554    0.33443  8.51%  53.0   36s
  1976   684    0.34396    9   16    0.36554    0.33456  8.48%  51.9   40s
  2164   792    0.36253   12    8    0.36554    0.33532  8.27%  51.8   45s
  2572   876    0.35036   11   10    0.36554    0.33565  8.18%  51.0   52s
  2727   902    0.35412   12   10    0.36554    0.33594  8.10%  50.6   57s
H 2934   902                       0.3655448    0.33606  8.07%  50.1   57s
H 3009   985                       0.3655448    0.33611  8.05%  49.8   57s
H 3087   985                       0.3655448    0.33611  8.05%  49.9   57s
  3197   986    0.35078   14   29    0.36554    0.33611  8.05%  49.9   63s
  3210   995    0.35102   16   29    0.36554    0.33611  8.05%  49.7   65s
  3216   999    0.36216   17   29    0.36554    0.33611  8.05%  49.6   71s
  3596  1101    0.34302   18   16    0.36554    0.33611  8.05%  55.1   75s
  4281  1120    0.34454   18   15    0.36554    0.33754  7.66%  56.9   81s
  4707  1089    0.34559   19   16    0.36554    0.33852  7.39%  57.4   85s
  4849  1074 infeasible   27         0.36554    0.33875  7.33%  57.6   90s
  4957  1083     cutoff   23         0.36554    0.33902  7.25%  57.8   95s
  5073  1086    0.36287   22    8    0.36554    0.33946  7.13%  57.9  101s
  5191  1067    0.34577   17   15    0.36554    0.33977  7.05%  57.9  106s
  5274  1070    0.34686   18   17    0.36554    0.34001  6.98%  57.9  112s
  5382  1097    0.34692   19   18    0.36554    0.34024  6.92%  58.1  120s
  6768  1237    0.34448   19   18    0.36554    0.34228  6.37%  58.8  132s
H 7000  1267                       0.3655447    0.34255  6.29%  58.8  133s
  7080  1317    0.35546   21   13    0.36554    0.34272  6.24%  58.6  138s
  7526  1426     cutoff   25         0.36554    0.34335  6.07%  58.7  145s
  8275  1578    0.35742   20   12    0.36554    0.34397  5.90%  58.6  152s
  8566  1629     cutoff   24         0.36554    0.34407  5.87%  58.4  158s
  8949  1633    0.35982   21   10    0.36554    0.34425  5.82%  58.4  163s
  8953  1710     cutoff   22         0.36554    0.34436  5.80%  58.4  166s
  9768  1911    0.35693   22   10    0.36554    0.34505  5.61%  58.3  173s
 10000  1956     cutoff   25         0.36554    0.34515  5.58%  58.3  177s
 10204  2041    0.36155   22   10    0.36554    0.34518  5.57%  58.2  182s
 10592  2089    0.36200   23    8    0.36554    0.34546  5.49%  58.2  186s
 10928  2281 infeasible   27         0.36554    0.34550  5.48%  58.1  193s
 11954  2355    0.35546   24   10    0.36554    0.34601  5.34%  57.8  199s
 12278  2453    0.35697   24    8    0.36554    0.34628  5.27%  57.7  206s
 13029  2518     cutoff   29         0.36554    0.34646  5.22%  57.3  214s
 13573  2593    0.36336   25    6    0.36554    0.34691  5.10%  57.3  219s
 13907  2710    0.36260   30    8    0.36554    0.34697  5.08%  57.2  223s
 14561  2802    0.35813   23   12    0.36554    0.34719  5.02%  57.2  229s
 14938  2891     cutoff   30         0.36554    0.34740  4.96%  57.1  237s
 15390  2960     cutoff   27         0.36554    0.34749  4.94%  57.0  242s
 15897  3014 infeasible   29         0.36554    0.34756  4.92%  56.9  252s
 16437  3093    0.36185   25   10    0.36554    0.34774  4.87%  56.8  261s
 16893  3142    0.35937   27   12    0.36554    0.34804  4.79%  56.7  267s
 17142  3224     cutoff   30         0.36554    0.34807  4.78%  56.6  273s
 17651  3292    0.35774   21   10    0.36554    0.34822  4.74%  56.7  279s
 18218  3388     cutoff   24         0.36554    0.34843  4.68%  56.4  290s
 19067  3457    0.35472   21   15    0.36554    0.34871  4.61%  56.3  298s
 19415  3544    0.35138   21   14    0.36554    0.34876  4.59%  56.3  303s
 20180  3648    0.35235   22   16    0.36554    0.34900  4.53%  56.2  313s
 20829  3757    0.35146   21   18    0.36554    0.34915  4.49%  56.1  322s
 21808  3780    0.36259   23   12    0.36554    0.34927  4.45%  56.0  328s
 22180  3845    0.35952   28    6    0.36554    0.34949  4.39%  56.0  335s
 23651  3994    0.35214   23   13    0.36554    0.34973  4.33%  55.7  346s
 24247  4036     cutoff   26         0.36554    0.34982  4.30%  55.6  353s
 24693  4037    0.36014   20   10    0.36554    0.34998  4.26%  55.5  358s
 24700  4084    0.35637   20   10    0.36554    0.35000  4.25%  55.5  362s
 25134  4122    0.36274   23   10    0.36554    0.35005  4.24%  55.6  370s
H25267  4122                       0.3655447    0.35009  4.23%  55.6  370s
 25649  4166    0.35843   25   12    0.36554    0.35020  4.20%  55.5  378s
 26178  4190    0.35174   24   11    0.36554    0.35028  4.17%  55.5  384s
 26436  4234    0.36226   22   10    0.36554    0.35040  4.14%  55.5  390s
 26990  4263    0.36158   22   10    0.36554    0.35050  4.12%  55.4  395s
 27234  4278    0.36382   25   10    0.36554    0.35052  4.11%  55.4  402s
 27660  4344    0.35792   18   16    0.36554    0.35059  4.09%  55.4  409s
 28524  4379     cutoff   25         0.36554    0.35080  4.03%  55.3  414s
 28936  4410     cutoff   27         0.36554    0.35090  4.01%  55.3  421s
 29396  4472    0.35874   25   14    0.36554    0.35095  3.99%  55.3  429s
 30053  4514    0.35832   21   10    0.36554    0.35109  3.95%  55.2  434s
 30645  4556    0.35823   22   10    0.36554    0.35115  3.94%  55.1  441s
 31318  4606    0.36468   25   11    0.36554    0.35124  3.91%  55.1  451s
 32150  4611    0.35817   23   15    0.36554    0.35139  3.87%  55.0  459s
 32204  4694    0.36483   24    9    0.36554    0.35140  3.87%  55.0  466s
 33412  4710    0.35669   23    8    0.36554    0.35159  3.82%  54.8  471s
 34004  4732    0.36186   24   14    0.36554    0.35170  3.79%  54.8  476s
 34633  4798     cutoff   26         0.36554    0.35181  3.76%  54.8  481s
 35307  4844    0.36239   27   10    0.36554    0.35190  3.73%  54.8  488s
 35883  4893    0.35964   24   15    0.36554    0.35201  3.70%  54.7  492s
 36555  4928    0.36141   24   10    0.36554    0.35204  3.69%  54.7  497s
 37261  4960    0.36231   23   10    0.36554    0.35212  3.67%  54.6  502s
 37901  4996    0.36244   29    9    0.36554    0.35227  3.63%  54.6  508s
*37921  4995              29       0.3655428    0.35227  3.63%  54.6  508s
 38493  5013     cutoff   23         0.36554    0.35236  3.61%  54.6  513s
 38984  5020     cutoff   26         0.36554    0.35238  3.60%  54.5  517s
 39272  5031 infeasible   26         0.36554    0.35245  3.58%  54.5  525s
 39888  5039    0.35515   24   12    0.36554    0.35258  3.55%  54.4  530s
 40788  5081     cutoff   26         0.36554    0.35270  3.51%  54.2  539s
 41176  5091     cutoff   25         0.36554    0.35275  3.50%  54.2  545s
 41567  5145    0.35890   25   12    0.36554    0.35282  3.48%  54.2  551s
 42404  5162    0.36144   25   10    0.36554    0.35291  3.46%  54.1  555s
 43000  5163    0.36284   24    8    0.36554    0.35300  3.43%  54.1  562s
 43303  5187    0.36316   26    4    0.36554    0.35302  3.43%  54.1  566s
 44196  5206    0.35839   26   10    0.36554    0.35318  3.38%  54.0  571s
 44416  5232    0.36363   28    4    0.36554    0.35320  3.38%  53.9  575s
 45261  5258     cutoff   28         0.36554    0.35330  3.35%  53.9  580s
 45902  5278     cutoff   31         0.36554    0.35341  3.32%  53.8  585s
 46687  5315    0.35672   22   16    0.36554    0.35351  3.29%  53.7  591s
 47062  5314     cutoff   28         0.36554    0.35353  3.29%  53.7  595s
 48140  5361     cutoff   31         0.36554    0.35362  3.26%  53.6  603s
 48862  5383    0.36147   27   10    0.36554    0.35379  3.22%  53.6  609s
 49488  5384    0.36285   26   12    0.36554    0.35391  3.18%  53.6  613s
 49681  5382    0.36245   25    8    0.36554    0.35394  3.18%  53.5  617s
 50105  5398    0.36343   25    6    0.36554    0.35397  3.17%  53.6  622s
H50300  5398                       0.3655428    0.35397  3.17%  53.5  622s
 50845  5408     cutoff   31         0.36554    0.35406  3.14%  53.4  625s
 51299  5426    0.36090   26   14    0.36554    0.35410  3.13%  53.4  630s
 51582  5431     cutoff   28         0.36554    0.35412  3.12%  53.3  635s
 52247  5441     cutoff   27         0.36554    0.35423  3.09%  53.3  646s
 53052  5430    0.36335   25   10    0.36554    0.35436  3.06%  53.3  650s
 53393  5455    0.35849   24    8    0.36554    0.35442  3.04%  53.3  655s
 54242  5451     cutoff   32         0.36554    0.35454  3.01%  53.2  660s
 54669  5464    0.35766   28    8    0.36554    0.35459  3.00%  53.1  669s
 55203  5460 infeasible   24         0.36554    0.35463  2.99%  53.0  673s
 55809  5457    0.36050   26    8    0.36554    0.35472  2.96%  53.0  677s
 56671  5455     cutoff   26         0.36554    0.35481  2.94%  52.9  680s
 57075  5440     cutoff   24         0.36554    0.35484  2.93%  52.9  685s
 57661  5445    0.36519   23    8    0.36554    0.35494  2.90%  52.8  693s
 58158  5445 infeasible   24         0.36554    0.35498  2.89%  52.8  698s
 58166  5456     cutoff   25         0.36554    0.35498  2.89%  52.8  704s
 58525  5461     cutoff   24         0.36554    0.35501  2.88%  52.8  707s
 59174  5473    0.35823   26   10    0.36554    0.35508  2.86%  52.8  710s
 59933  5453    0.36436   32    4    0.36554    0.35511  2.85%  52.7  715s
H60930  5465                       0.3655428    0.35526  2.81%  52.6  718s
 61143  5451     cutoff   26         0.36554    0.35527  2.81%  52.6  722s
 61638  5449     cutoff   25         0.36554    0.35537  2.78%  52.6  728s
 62319  5406     cutoff   27         0.36554    0.35543  2.77%  52.5  733s
 62947  5401    0.36180   23   11    0.36554    0.35553  2.74%  52.4  736s
 64063  5392    0.36427   25   11    0.36554    0.35561  2.72%  52.4  742s
 64329  5375     cutoff   23         0.36554    0.35567  2.70%  52.3  747s
 64935  5354 infeasible   29         0.36554    0.35575  2.68%  52.3  751s
 65802  5351     cutoff   23         0.36554    0.35586  2.65%  52.2  758s
 66365  5342    0.36425   22   15    0.36554    0.35595  2.62%  52.1  762s
 66601  5339    0.36327   25    8    0.36554    0.35599  2.61%  52.1  766s
 68167  5331     cutoff   25         0.36554    0.35609  2.58%  52.0  775s
 69388  5285    0.36184   27    8    0.36554    0.35621  2.55%  51.9  783s
 69840  5223 infeasible   27         0.36554    0.35624  2.54%  51.9  786s
 70778  5183     cutoff   26         0.36554    0.35639  2.50%  51.8  793s
 71615  5173    0.36476   24    8    0.36554    0.35649  2.48%  51.7  797s
 71959  5166    0.36029   27   10    0.36554    0.35656  2.46%  51.7  801s
 72868  5106     cutoff   28         0.36554    0.35664  2.44%  51.6  809s
 73459  5106    0.36540   26    6    0.36554    0.35668  2.42%  51.6  813s
 73907  5056    0.36291   30    6    0.36554    0.35674  2.41%  51.5  817s
 74642  5024    0.35745   27   13    0.36554    0.35684  2.38%  51.5  822s
 75307  4974    0.36176   29    6    0.36554    0.35690  2.37%  51.4  828s
 76003  4948     cutoff   28         0.36554    0.35703  2.33%  51.3  831s
 76672  4906    0.36437   26    8    0.36554    0.35708  2.31%  51.3  837s
 77250  4878    0.36423   25   10    0.36554    0.35710  2.31%  51.3  840s
 78159  4821 infeasible   30         0.36554    0.35720  2.28%  51.2  847s
 78769  4776    0.36523   27    6    0.36554    0.35726  2.27%  51.1  852s
 79438  4723    0.36347   29    4    0.36554    0.35735  2.24%  51.1  856s
 80290  4709     cutoff   27         0.36554    0.35752  2.19%  51.0  862s
 80545  4671    0.36357   25    6    0.36554    0.35753  2.19%  51.0  870s
 81557  4576     cutoff   32         0.36554    0.35761  2.17%  50.9  879s
 82251  4570 infeasible   28         0.36554    0.35770  2.15%  50.9  885s
 82403  4495 infeasible   29         0.36554    0.35770  2.14%  50.9  890s
 84002  4395    0.36459   27    6    0.36554    0.35791  2.09%  50.7  899s
 84698  4351    0.36505   31    2    0.36554    0.35800  2.06%  50.7  903s
 85315  4353 infeasible   25         0.36554    0.35802  2.06%  50.6  908s
 85320  4304     cutoff   26         0.36554    0.35803  2.05%  50.6  912s
 86582  4204     cutoff   22         0.36554    0.35822  2.00%  50.5  917s
 87052  4153    0.36302   31    8    0.36554    0.35826  1.99%  50.4  923s
 87729  4072    0.36454   27    9    0.36554    0.35835  1.97%  50.4  926s
 88566  3998     cutoff   27         0.36554    0.35850  1.93%  50.3  930s
 90096  3873    0.36074   25   10    0.36554    0.35869  1.88%  50.2  936s
 90685  3815    0.36367   29    4    0.36554    0.35885  1.83%  50.1  943s
 91020  3742     cutoff   26         0.36554    0.35891  1.81%  50.1  947s
 91678  3715     cutoff   28         0.36554    0.35902  1.79%  50.0  950s
 92592  3586     cutoff   27         0.36554    0.35916  1.75%  49.9  957s
 93247  3523 infeasible   29         0.36554    0.35920  1.74%  49.9  963s
 93692  3510    0.35969   25   12    0.36554    0.35931  1.70%  49.8  967s
 93853  3451    0.36327   28   10    0.36554    0.35932  1.70%  49.8  971s
 94832  3308     cutoff   26         0.36554    0.35954  1.64%  49.7  977s
 95368  3230    0.36188   25   12    0.36554    0.35968  1.60%  49.7  982s
 96040  3150     cutoff   32         0.36554    0.35976  1.58%  49.6  986s
 97894  2960    0.36368   23   14    0.36554    0.36003  1.51%  49.4  991s
 98200  2885    0.36487   29    6    0.36554    0.36006  1.50%  49.4  995s
 99127  2711    0.36442   31    2    0.36554    0.36027  1.44%  49.3 1001s
 100436  2574     cutoff   34         0.36554    0.36057  1.36%  49.1 1008s
 100855  2469     cutoff   29         0.36554    0.36064  1.34%  49.1 1013s
 101546  2325    0.36204   30   10    0.36554    0.36077  1.30%  49.0 1016s
 102990  2146 infeasible   29         0.36554    0.36110  1.21%  48.8 1021s
 103256  2061     cutoff   27         0.36554    0.36117  1.20%  48.8 1027s
 103636  2025    0.36276   28    6    0.36554    0.36134  1.15%  48.8 1034s
 103877  1917     cutoff   29         0.36554    0.36137  1.14%  48.7 1040s
 105089  1609     cutoff   30         0.36554    0.36169  1.05%  48.6 1050s
 106290  1227     cutoff   29         0.36554    0.36211  0.94%  48.5 1055s
 108752   208     cutoff   21         0.36554    0.36386  0.46%  48.1 1060s

Cutting planes:
  Gomory: 1
  Implied bound: 497
  MIR: 371
  Flow cover: 1002
  RLT: 133
  Relax-and-lift: 196

Explored 109552 nodes (5258226 simplex iterations) in 1060.55 seconds (677.61 work units)
Thread count was 4 (of 48 available processors)

Solution count 10: 0.365543 0.365545 0.365545 ... 0.371058

Optimal solution found (tolerance 1.00e-04)
Best objective 3.655428020321e-01, best bound 3.655427809080e-01, gap 0.0000%
The objective bound is 0.365543 while the objective upper bound is 0.365543

============================================

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   3.44 (ave)

============================================
