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 6.01225 seconds.
    local lower bound updated to 0.266402
    local upper bound updated to 0.472449

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 2.31315 seconds.
    local lower bound updated to 0.422047
    local upper bound updated to 0.422047
The Primal step takes 8.32776 (S)
lower bound updated to 0.422047

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.544589
    local lower bound updated to 0.527379

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.532182
    local lower bound updated to 0.532182
The Dual step takes 0.0768319 (S)
upper bound updated to 0.532182
*** OUTER ITERATION 1 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 15.6033 seconds.
    local lower bound updated to 0.344429
    local upper bound updated to 0.473091

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 14.177 seconds.
    local lower bound updated to 0.445796
    local upper bound updated to 0.462212

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 16.1173 seconds.
    local lower bound updated to 0.445796
    local upper bound updated to 0.458979

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 16.554 seconds.
    local lower bound updated to 0.449395
    local upper bound updated to 0.454896

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 16.0534 seconds.
    local lower bound updated to 0.45025
    local upper bound updated to 0.454077

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 15.6011 seconds.
    local lower bound updated to 0.452197
    local upper bound updated to 0.453035

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 17.0276 seconds.
    local lower bound updated to 0.452646
    local upper bound updated to 0.452997

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 16.3128 seconds.
    local lower bound updated to 0.452692
    local upper bound updated to 0.452903

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 17.1083 seconds.
    local lower bound updated to 0.452763
    local upper bound updated to 0.452814

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 17.6205 seconds.
    local lower bound updated to 0.452814
    local upper bound updated to 0.452814
The Primal step takes 162.197 (S)
lower bound updated to 0.452814

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.501482
    local lower bound updated to 0.454191

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.489125
    local lower bound updated to 0.461028

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.487303
    local lower bound updated to 0.470673

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.475045
    local lower bound updated to 0.470843

    ++ RESTRICTED DUAL ITERATION 5 ++
    local upper bound updated to 0.475045
    local lower bound updated to 0.471305

    ++ RESTRICTED DUAL ITERATION 6 ++
    local upper bound updated to 0.475045
    local lower bound updated to 0.471919

    ++ RESTRICTED DUAL ITERATION 7 ++
    local upper bound updated to 0.472961
    local lower bound updated to 0.472042

    ++ RESTRICTED DUAL ITERATION 8 ++
    local upper bound updated to 0.472865
    local lower bound updated to 0.472118

    ++ RESTRICTED DUAL ITERATION 9 ++
    local upper bound updated to 0.472118
    local lower bound updated to 0.472118
The Dual step takes 9.59793 (S)
upper bound updated to 0.472118
*** OUTER ITERATION 2 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 114.372 seconds.
    local lower bound updated to 0.413042
    local upper bound updated to 0.466391

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 45.8614 seconds.
    local lower bound updated to 0.439003
    local upper bound updated to 0.464097

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 92.8167 seconds.
    local lower bound updated to 0.452362
    local upper bound updated to 0.462995

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 141.725 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.46075

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 95.1404 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.460158

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 113.028 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.459799

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 144.454 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.459356

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 125.061 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.459191

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 148.385 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.459102

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 200.029 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.458981

    ++ RESTRICTED PRIMAL ITERATION 11 ++
One worst-case parameter optimization takes 200.038 seconds.
    local lower bound updated to 0.455909
    local upper bound updated to 0.458875

    ++ RESTRICTED PRIMAL ITERATION 12 ++
One worst-case parameter optimization takes 200.04 seconds.
    local lower bound updated to 0.456323
    local upper bound updated to 0.45882

    ++ RESTRICTED PRIMAL ITERATION 13 ++
One worst-case parameter optimization takes 200.028 seconds.
    local lower bound updated to 0.456552
    local upper bound updated to 0.4588

    ++ RESTRICTED PRIMAL ITERATION 14 ++
One worst-case parameter optimization takes 200.029 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458439

    ++ RESTRICTED PRIMAL ITERATION 15 ++
One worst-case parameter optimization takes 146.765 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458339

    ++ RESTRICTED PRIMAL ITERATION 16 ++
One worst-case parameter optimization takes 200.023 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458311

    ++ RESTRICTED PRIMAL ITERATION 17 ++
One worst-case parameter optimization takes 152.285 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458295

    ++ RESTRICTED PRIMAL ITERATION 18 ++
One worst-case parameter optimization takes 200.027 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458211

    ++ RESTRICTED PRIMAL ITERATION 19 ++
One worst-case parameter optimization takes 200.033 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458195

    ++ RESTRICTED PRIMAL ITERATION 20 ++
One worst-case parameter optimization takes 200.031 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.458025

    ++ RESTRICTED PRIMAL ITERATION 21 ++
One worst-case parameter optimization takes 200.028 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.457999

    ++ RESTRICTED PRIMAL ITERATION 22 ++
One worst-case parameter optimization takes 129.88 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.457987

    ++ RESTRICTED PRIMAL ITERATION 23 ++
One worst-case parameter optimization takes 158.49 seconds.
    local lower bound updated to 0.457779
    local upper bound updated to 0.457979

    ++ RESTRICTED PRIMAL ITERATION 24 ++
One worst-case parameter optimization takes 200.03 seconds.
    local lower bound updated to 0.457979
    local upper bound updated to 0.457979
The Primal step takes 3808.74 (S)
lower bound updated to 0.457979

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.508488
    local lower bound updated to 0.457979

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.472193
    local lower bound updated to 0.45977

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.472193
    local lower bound updated to 0.459838

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.469403
    local lower bound updated to 0.460123

    ++ RESTRICTED DUAL ITERATION 5 ++
    local upper bound updated to 0.466846
    local lower bound updated to 0.461221

    ++ RESTRICTED DUAL ITERATION 6 ++
    local upper bound updated to 0.466846
    local lower bound updated to 0.461464

    ++ RESTRICTED DUAL ITERATION 7 ++
    local upper bound updated to 0.466846
    local lower bound updated to 0.461476

    ++ RESTRICTED DUAL ITERATION 8 ++
    local upper bound updated to 0.46395
    local lower bound updated to 0.4617

    ++ RESTRICTED DUAL ITERATION 9 ++
    local upper bound updated to 0.462068
    local lower bound updated to 0.46171

    ++ RESTRICTED DUAL ITERATION 10 ++
    local upper bound updated to 0.46171
    local lower bound updated to 0.46171
The Dual step takes 71.911 (S)
upper bound updated to 0.46171
*** OUTER ITERATION 3 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.037 seconds.
    local lower bound updated to 0.431888
    local upper bound updated to 0.46171

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.042 seconds.
    local lower bound updated to 0.457953
    local upper bound updated to 0.461578

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 200.049 seconds.
    local lower bound updated to 0.457953
    local upper bound updated to 0.461488

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.458873
    local upper bound updated to 0.461422

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.036 seconds.
    local lower bound updated to 0.459053
    local upper bound updated to 0.461356

    ++ RESTRICTED PRIMAL ITERATION 6 ++
One worst-case parameter optimization takes 200.06 seconds.
    local lower bound updated to 0.460168
    local upper bound updated to 0.461338

    ++ RESTRICTED PRIMAL ITERATION 7 ++
One worst-case parameter optimization takes 200.04 seconds.
    local lower bound updated to 0.460332
    local upper bound updated to 0.46117

    ++ RESTRICTED PRIMAL ITERATION 8 ++
One worst-case parameter optimization takes 200.03 seconds.
    local lower bound updated to 0.46067
    local upper bound updated to 0.461069

    ++ RESTRICTED PRIMAL ITERATION 9 ++
One worst-case parameter optimization takes 200.081 seconds.
    local lower bound updated to 0.46067
    local upper bound updated to 0.461067

    ++ RESTRICTED PRIMAL ITERATION 10 ++
One worst-case parameter optimization takes 200.052 seconds.
    local lower bound updated to 0.460816
    local upper bound updated to 0.461051

    ++ RESTRICTED PRIMAL ITERATION 11 ++
One worst-case parameter optimization takes 200.036 seconds.
    local lower bound updated to 0.460816
    local upper bound updated to 0.461035

    ++ RESTRICTED PRIMAL ITERATION 12 ++
One worst-case parameter optimization takes 200.041 seconds.
    local lower bound updated to 0.460816
    local upper bound updated to 0.461022

    ++ RESTRICTED PRIMAL ITERATION 13 ++
One worst-case parameter optimization takes 200.032 seconds.
    local lower bound updated to 0.460891
    local upper bound updated to 0.461019

    ++ RESTRICTED PRIMAL ITERATION 14 ++
One worst-case parameter optimization takes 200.042 seconds.
    local lower bound updated to 0.461019
    local upper bound updated to 0.461019
The Primal step takes 2800.76 (S)
lower bound updated to 0.461019

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.499616
    local lower bound updated to 0.461019

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.465306
    local lower bound updated to 0.461155

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.464576
    local lower bound updated to 0.461165

    ++ RESTRICTED DUAL ITERATION 4 ++
    local upper bound updated to 0.461165
    local lower bound updated to 0.461165
The Dual step takes 37.7612 (S)
upper bound updated to 0.461165
*** OUTER ITERATION 4 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.052 seconds.
    local lower bound updated to 0.43246
    local upper bound updated to 0.461165

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.04 seconds.
    local lower bound updated to 0.460879
    local upper bound updated to 0.461139

    ++ RESTRICTED PRIMAL ITERATION 3 ++
One worst-case parameter optimization takes 200.034 seconds.
    local lower bound updated to 0.461016
    local upper bound updated to 0.461133

    ++ RESTRICTED PRIMAL ITERATION 4 ++
One worst-case parameter optimization takes 200.044 seconds.
    local lower bound updated to 0.461044
    local upper bound updated to 0.461124

    ++ RESTRICTED PRIMAL ITERATION 5 ++
One worst-case parameter optimization takes 200.051 seconds.
    local lower bound updated to 0.461124
    local upper bound updated to 0.461124
The Primal step takes 1000.27 (S)
lower bound updated to 0.461124

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.500523
    local lower bound updated to 0.461124

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.461986
    local lower bound updated to 0.461136

    ++ RESTRICTED DUAL ITERATION 3 ++
    local upper bound updated to 0.461136
    local lower bound updated to 0.461136
The Dual step takes 34.3903 (S)
upper bound updated to 0.461136
*** OUTER ITERATION 5 ***

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.046 seconds.
    local lower bound updated to 0.436492
    local upper bound updated to 0.461136

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.056 seconds.
    local lower bound updated to 0.461136
    local upper bound updated to 0.461136
The Primal step takes 400.125 (S)
lower bound updated to 0.461136

    ++ RESTRICTED DUAL ITERATION 1 ++
    local upper bound updated to 0.500293
    local lower bound updated to 0.461136

    ++ RESTRICTED DUAL ITERATION 2 ++
    local upper bound updated to 0.461136
    local lower bound updated to 0.461136
The Dual step takes 27.5835 (S)
upper bound updated to 0.461136
This is to get the final optimal randomized assortment

    ++ RESTRICTED PRIMAL ITERATION 1 ++
One worst-case parameter optimization takes 200.048 seconds.
    local lower bound updated to 0.436492
    local upper bound updated to 0.461136

    ++ RESTRICTED PRIMAL ITERATION 2 ++
One worst-case parameter optimization takes 200.042 seconds.
    local lower bound updated to 0.461136
    local upper bound updated to 0.461136
The time obtain the optimal randomized assortment is 8761.85 (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_17_4_200.000000_207518.log"
The computation time limit for a lower bound is 77221
The model output flag is 1
Gurobi Optimizer version 9.5.1 build v9.5.1rc2 (linux64)
Thread count: 128 physical cores, 256 logical processors, using up to 4 threads
Optimize a model with 4544 rows, 3470 columns and 14966 nonzeros
Model fingerprint: 0x5e0f40f2
Variable types: 3405 continuous, 65 integer (65 binary)
Coefficient statistics:
  Matrix range     [3e-03, 1e+00]
  Objective range  [1e+00, 1e+00]
  Bounds range     [1e+00, 1e+00]
  RHS range        [5e-01, 1e+00]
Presolve removed 1071 rows and 1957 columns
Presolve time: 0.05s
Presolved: 3473 rows, 1513 columns, 13633 nonzeros
Variable types: 1450 continuous, 63 integer (63 binary)
Found heuristic solution: objective 0.5909382
Found heuristic solution: objective 0.5903124
Found heuristic solution: objective 0.5896647
Found heuristic solution: objective 0.5859154

Root relaxation: objective 2.681701e-01, 423 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    0.26817    0   29    0.58592    0.26817  54.2%     -    0s
H    0     0                       0.5747196    0.26817  53.3%     -    0s
H    0     0                       0.5404657    0.27615  48.9%     -    0s
H    0     0                       0.5366109    0.27615  48.5%     -    0s
     0     0    0.27620    0   31    0.53661    0.27620  48.5%     -    0s
H    0     0                       0.5267771    0.27620  47.6%     -    0s
     0     0    0.32454    0   30    0.52678    0.32454  38.4%     -    0s
H    0     0                       0.4809509    0.32454  32.5%     -    0s
     0     0    0.32484    0   29    0.48095    0.32484  32.5%     -    0s
     0     0    0.33753    0   29    0.48095    0.33753  29.8%     -    1s
H    0     0                       0.4791952    0.33959  29.1%     -    1s
     0     0    0.33959    0   30    0.47920    0.33959  29.1%     -    1s
H    0     0                       0.4781340    0.33959  29.0%     -    1s
     0     0    0.34983    0   30    0.47813    0.34983  26.8%     -    1s
H    0     0                       0.4653472    0.34983  24.8%     -    1s
H    0     0                       0.4645884    0.35047  24.6%     -    1s
H    0     0                       0.4633829    0.35047  24.4%     -    1s
     0     0    0.35047    0   30    0.46338    0.35047  24.4%     -    1s
     0     0    0.35160    0   30    0.46338    0.35160  24.1%     -    1s
H    0     0                       0.4620931    0.35160  23.9%     -    5s
     0     2    0.35160    0   30    0.46209    0.35160  23.9%     -    5s
   200   131    0.45818   13    8    0.46209    0.36957  20.0%  64.5   13s
*  430   254              29       0.4616032    0.37379  19.0%  54.6   14s
*  440   271              30       0.4613604    0.37847  18.0%  54.4   14s
   522   285    0.45018   16    8    0.46136    0.37847  18.0%  52.3   15s
H  565   297                       0.4611364    0.38218  17.1%  52.2   15s
   997   448    0.42598    9   20    0.46114    0.38846  15.8%  52.5   20s
  1777   708    0.43131   14   14    0.46114    0.39601  14.1%  50.2   25s
  2121   800    0.40304   10   30    0.46114    0.39780  13.7%  49.5   32s
  2300   872    0.39780   17   22    0.46114    0.39780  13.7%  53.6   35s
  2490   925    0.41681   21   19    0.46114    0.39780  13.7%  54.1   42s
  2589   935    0.43454   27   20    0.46114    0.39780  13.7%  54.2   46s
  3092   890    0.40924   16   25    0.46114    0.39780  13.7%  53.2   51s
  3384   927    0.44549   28   12    0.46114    0.39862  13.6%  53.2   57s
  3875   956    0.41372   18   27    0.46114    0.40394  12.4%  53.5   61s
  4126   932    0.45224   30    6    0.46114    0.40493  12.2%  53.0   65s
  4591   945    0.43312   27   14    0.46114    0.40673  11.8%  52.9   72s
  4692   974    0.42537   19   21    0.46114    0.40708  11.7%  53.0   75s
  4921  1076    0.44441   19   19    0.46114    0.40915  11.3%  52.9   80s
  6341  1436     cutoff   22         0.46114    0.41244  10.6%  51.9   86s
  6663  1452    0.43729   22   12    0.46114    0.41316  10.4%  51.4   90s
  7489  1608     cutoff   27         0.46114    0.41453  10.1%  50.8   96s
  7874  1660    0.45365   24   10    0.46114    0.41477  10.1%  50.1  102s
  7983  1738    0.43806   26   17    0.46114    0.41499  10.0%  49.9  106s
  8520  1878    0.45908   26    6    0.46114    0.41556  9.88%  49.6  111s
  9078  1961    0.43929   28   14    0.46114    0.41657  9.66%  49.1  117s
  9394  2029     cutoff   25         0.46114    0.41672  9.63%  49.0  120s
  9722  2137    0.43958   25   15    0.46114    0.41694  9.58%  48.8  125s
 10518  2398    0.44466   26   17    0.46114    0.41777  9.41%  48.6  133s
 11376  2447    0.43077   22   14    0.46114    0.41854  9.24%  48.3  136s
 11697  2525    0.44194   25   13    0.46114    0.41870  9.20%  48.3  140s
 12450  2746     cutoff   27         0.46114    0.41986  8.95%  48.0  148s
 13058  2907    0.45306   27   16    0.46114    0.42016  8.89%  47.8  153s
 13845  2972    0.45922   21   14    0.46114    0.42104  8.70%  47.2  156s
 14763  3112    0.42775   24   12    0.46114    0.42153  8.59%  47.0  162s
 15322  3203    0.44581   23   13    0.46114    0.42188  8.51%  46.8  165s
 15915  3327     cutoff   28         0.46114    0.42230  8.42%  46.7  172s
 16978  3480    0.45571   24   10    0.46114    0.42316  8.23%  46.5  177s
 17286  3534    0.42802   22   19    0.46114    0.42341  8.18%  46.4  181s
 18167  3694    0.45010   23   16    0.46114    0.42380  8.10%  46.3  187s
 18662  3714    0.43294   23   16    0.46114    0.42414  8.02%  46.0  192s
 18852  3831    0.44273   24   17    0.46114    0.42453  7.94%  46.0  196s
 20143  3954    0.44124   25   16    0.46114    0.42495  7.85%  45.8  202s
 20600  3985 infeasible   30         0.46114    0.42540  7.75%  45.7  205s
 20904  4056     cutoff   34         0.46114    0.42559  7.71%  45.6  210s
 22080  4196     cutoff   28         0.46114    0.42620  7.58%  45.4  219s
 22405  4243     cutoff   26         0.46114    0.42633  7.55%  45.3  221s
 22932  4331    0.45000   27   19    0.46114    0.42665  7.48%  45.2  226s
 23502  4428    0.45381   30   14    0.46114    0.42685  7.44%  45.2  230s
 24976  4501    0.44360   26   14    0.46114    0.42754  7.28%  44.9  236s
 25981  4623     cutoff   30         0.46114    0.42803  7.18%  44.9  243s
 26421  4715     cutoff   28         0.46114    0.42819  7.14%  44.8  245s
 27301  4790     cutoff   29         0.46114    0.42851  7.08%  44.7  250s
 28689  4881    0.43318   22   20    0.46114    0.42892  6.99%  44.3  256s
 29179  4932    0.45190   29    8    0.46114    0.42925  6.92%  44.3  260s
 30317  5070    0.45806   28   14    0.46114    0.42962  6.83%  44.1  267s
 30999  5079    0.45381   28   10    0.46114    0.43008  6.74%  44.0  270s
 31345  5135    0.45979   27   12    0.46114    0.43010  6.73%  43.9  275s
 32010  5231     cutoff   25         0.46114    0.43035  6.68%  43.9  283s
 32858  5251    0.46000   30   10    0.46114    0.43073  6.59%  43.8  286s
 33360  5308     cutoff   28         0.46114    0.43095  6.55%  43.8  290s
H34222  5339                       0.4611364    0.43102  6.53%  43.7  293s
H34265  5339                       0.4611364    0.43114  6.51%  43.7  293s
H34402  5374                       0.4611364    0.43114  6.51%  43.7  298s
H34623  5374                       0.4611364    0.43123  6.49%  43.7  298s
 34857  5413    0.43993   26   14    0.46114    0.43146  6.43%  43.7  302s
 35465  5456    0.45647   27   10    0.46114    0.43158  6.41%  43.6  306s
 36230  5502    0.45051   31   18    0.46114    0.43182  6.36%  43.4  313s
 37002  5528    0.43537   25   19    0.46114    0.43219  6.28%  43.4  317s
 37463  5550     cutoff   24         0.46114    0.43253  6.20%  43.3  321s
 38820  5593    0.44569   26   14    0.46114    0.43286  6.13%  43.3  329s
 39144  5601    0.45369   25   17    0.46114    0.43308  6.09%  43.3  333s
 39204  5650     cutoff   26         0.46114    0.43309  6.08%  43.3  337s
 39874  5718    0.44681   30   10    0.46114    0.43321  6.06%  43.2  340s
 41218  5788 infeasible   26         0.46114    0.43367  5.96%  43.0  347s
 41872  5811     cutoff   30         0.46114    0.43398  5.89%  43.0  351s
 42710  5837    0.45971   34    6    0.46114    0.43422  5.84%  42.9  356s
 44041  5900    0.45027   24   15    0.46114    0.43470  5.73%  42.7  361s
 44435  5904    0.45507   24   19    0.46114    0.43481  5.71%  42.7  365s
 45308  5940     cutoff   29         0.46114    0.43508  5.65%  42.7  372s
 46099  5949    0.45478   23   13    0.46114    0.43537  5.59%  42.6  375s
 47312  5988    0.45571   25   18    0.46114    0.43571  5.51%  42.5  381s
 48598  6001    0.44906   24   14    0.46114    0.43606  5.44%  42.4  388s
 48972  6009     cutoff   26         0.46114    0.43614  5.42%  42.3  392s
 49757  6029     cutoff   29         0.46114    0.43648  5.35%  42.2  396s
 50250  6045     cutoff   34         0.46114    0.43670  5.30%  42.2  400s
 51395  6049     cutoff   23         0.46114    0.43696  5.24%  42.1  406s
 51881  6068    0.45508   25   12    0.46114    0.43701  5.23%  42.0  411s
 52722  6104    0.46016   29   12    0.46114    0.43725  5.18%  42.0  419s
 53444  6107     cutoff   26         0.46114    0.43756  5.11%  41.9  422s
 53880  6119    0.44057   27   17    0.46114    0.43770  5.08%  41.9  426s
 54412  6140     cutoff   26         0.46114    0.43782  5.06%  41.8  431s
 55822  6140    0.45895   34   10    0.46114    0.43813  4.99%  41.7  436s
 56898  6149    0.44865   30   14    0.46114    0.43848  4.91%  41.6  444s
 57565  6136    0.45168   25   10    0.46114    0.43867  4.87%  41.5  446s
 58431  6127    0.45556   36   10    0.46114    0.43881  4.84%  41.5  452s
 58811  6121    0.45034   31   16    0.46114    0.43899  4.80%  41.5  456s
 60324  6122    0.45907   33    8    0.46114    0.43933  4.73%  41.3  463s
 60915  6122    0.45273   27   15    0.46114    0.43949  4.70%  41.2  466s
 61779  6096     cutoff   26         0.46114    0.43975  4.64%  41.2  472s
 62150  6093     cutoff   28         0.46114    0.43985  4.62%  41.1  475s
 63343  6058     cutoff   28         0.46114    0.43999  4.59%  41.1  480s
 64203  6022    0.44804   30   10    0.46114    0.44033  4.51%  41.0  486s
 64850  6007     cutoff   31         0.46114    0.44051  4.47%  40.9  490s
 65838  5952 infeasible   34         0.46114    0.44066  4.44%  40.9  496s
 67283  5893    0.44879   28   19    0.46114    0.44112  4.34%  40.8  502s
 67852  5866    0.45175   28   10    0.46114    0.44118  4.33%  40.8  505s
 69106  5833     cutoff   31         0.46114    0.44133  4.30%  40.6  512s
 69667  5834     cutoff   30         0.46114    0.44162  4.23%  40.6  515s
H69668  5834                       0.4611364    0.44162  4.23%  40.6  515s
 70335  5763    0.45343   31    6    0.46114    0.44179  4.20%  40.5  522s
 71176  5734     cutoff   33         0.46114    0.44204  4.14%  40.5  525s
 72240  5653    0.45294   32    6    0.46114    0.44226  4.09%  40.4  533s
 72860  5604     cutoff   29         0.46114    0.44248  4.04%  40.4  537s
 73456  5550    0.45549   29   17    0.46114    0.44258  4.02%  40.3  541s
 75150  5435    0.45281   25   19    0.46114    0.44310  3.91%  40.2  547s
 75710  5413     cutoff   29         0.46114    0.44326  3.88%  40.2  550s
 76998  5330    0.45952   31    2    0.46114    0.44358  3.81%  40.1  556s
 78053  5228    0.45555   33    4    0.46114    0.44376  3.77%  40.0  560s
 79026  5137    0.45235   33   12    0.46114    0.44400  3.72%  39.9  565s
 80555  4996     cutoff   28         0.46114    0.44456  3.59%  39.8  571s
 81676  4848    0.45450   30   12    0.46114    0.44485  3.53%  39.7  578s
 82320  4758    0.45144   30   11    0.46114    0.44496  3.51%  39.7  580s
 83966  4539    0.44671   20   18    0.46114    0.44547  3.40%  39.6  587s
 84552  4459     cutoff   31         0.46114    0.44556  3.38%  39.5  591s
 85641  4292     cutoff   27         0.46114    0.44603  3.28%  39.4  596s
 86054  4176     cutoff   26         0.46114    0.44621  3.24%  39.4  600s
 88023  3878    0.45766   30   10    0.46114    0.44671  3.13%  39.3  605s
 89779  3526    0.45988   29    8    0.46114    0.44750  2.96%  39.1  611s
 90709  3361     cutoff   32         0.46114    0.44778  2.90%  39.1  615s
 91713  3139     cutoff   32         0.46114    0.44834  2.78%  39.0  620s
 93219  2793 infeasible   26         0.46114    0.44894  2.64%  38.9  626s
 94501  2509     cutoff   33         0.46114    0.44965  2.49%  38.8  630s
 95585  2176     cutoff   29         0.46114    0.45030  2.35%  38.7  635s
H95966  2176                       0.4611364    0.45054  2.30%  38.7  639s
 95974  2065    0.45481   33    8    0.46114    0.45058  2.29%  38.7  640s
 98150  1055     cutoff   30         0.46114    0.45287  1.79%  38.5  646s
 99956     0     cutoff   32         0.46114    0.45762  0.76%  38.2  650s

Cutting planes:
  Implied bound: 431
  MIR: 219
  Flow cover: 670
  RLT: 148
  Relax-and-lift: 161

Explored 100318 nodes (3831646 simplex iterations) in 650.24 seconds (532.59 work units)
Thread count was 4 (of 256 available processors)

Solution count 10: 0.461136 0.461136 0.461136 ... 0.465347

Optimal solution found (tolerance 1.00e-04)
Best objective 4.611364112559e-01, best bound 4.611363931045e-01, gap 0.0000%
The objective bound is 0.461136 while the objective upper bound is 0.461136

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

        Job resource usage summary 

                 Memory (GB)    NCPUs
 Requested  :        12             4
 Used       :         0 (peak)   3.75 (ave)

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