Build (method = -2) #dp: 22820 Step-3' Graph: 555 vertices and 7287 arcs (0.20s) Step-4' Graph: 471 vertices and 7141 arcs (0.20s) #V4/#V3 = 0.85 #A4/#A3 = 0.98 Ready! (0.20s) Optimize a model with 509 rows, 7142 columns and 20467 nonzeros Presolve removed 14 rows and 32 columns Presolve time: 0.10s Presolved: 495 rows, 7110 columns, 20400 nonzeros Variable types: 0 continuous, 7110 integer (1158 binary) Found heuristic solution: objective 70.0000000 Optimize a model with 495 rows, 7110 columns and 20400 nonzeros Presolved: 495 rows, 7110 columns, 20400 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.260e+04 Factor NZ : 4.151e+04 (roughly 3 MBytes of memory) Factor Ops : 4.688e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.30519665e+03 -1.69748561e+05 6.96e+04 6.00e-02 1.02e+02 0s 1 1.13196737e+03 -5.24268128e+04 9.83e+03 9.99e-16 1.58e+01 0s 2 5.42131587e+02 -2.00739589e+04 2.85e+03 1.60e-14 4.68e+00 0s 3 3.68475098e+02 -8.78688321e+03 6.68e+02 1.32e-03 1.29e+00 0s 4 2.89032503e+02 -3.09723860e+03 2.03e+02 2.49e-14 3.99e-01 0s 5 2.61752854e+02 -2.12251691e+03 1.59e+02 2.35e-14 2.82e-01 0s 6 2.55150899e+02 -1.78791676e+03 1.50e+02 1.69e-14 2.46e-01 0s 7 2.08111654e+02 -7.68018019e+02 1.10e+02 1.07e-14 1.31e-01 0s 8 1.51285857e+02 -6.15148159e+02 5.33e+01 7.99e-15 8.37e-02 0s 9 1.24264648e+02 -2.68730467e+02 3.26e+01 6.22e-15 4.08e-02 0s 10 8.93151447e+01 -5.12033645e+01 9.37e+00 1.89e-15 1.16e-02 0s 11 8.84224796e+01 -3.99053856e+01 8.34e+00 1.39e-15 1.05e-02 0s 12 8.23178344e+01 -3.89376204e+01 7.39e+00 1.46e-15 9.82e-03 0s 13 6.54017136e+01 -3.35512235e+01 5.77e+00 1.65e-15 7.94e-03 0s 14 5.13179626e+01 -1.97388702e+01 4.71e+00 1.46e-15 5.75e-03 0s 15 3.38879555e+01 -7.53483262e+00 3.10e+00 1.35e-15 3.37e-03 0s 16 1.84125533e+01 -6.44203965e-01 1.45e+00 1.06e-15 1.53e-03 0s 17 1.45354731e+01 2.64863310e+00 8.30e-01 1.12e-15 9.24e-04 0s 18 1.38162179e+01 5.87214238e+00 6.65e-01 9.95e-16 6.11e-04 0s 19 1.31846670e+01 8.01131782e+00 4.78e-01 8.66e-16 3.92e-04 0s 20 1.28402797e+01 9.41534771e+00 3.74e-01 7.04e-16 2.58e-04 0s 21 1.17867623e+01 1.02658026e+01 9.76e-02 6.46e-16 1.11e-04 0s 22 1.14965270e+01 1.06448928e+01 4.39e-02 7.03e-16 6.13e-05 0s 23 1.13246096e+01 1.08617757e+01 1.92e-02 7.77e-16 3.31e-05 0s 24 1.12800317e+01 1.10006644e+01 1.30e-02 6.93e-16 2.00e-05 0s 25 1.12543002e+01 1.10610719e+01 9.60e-03 7.06e-16 1.38e-05 0s 26 1.12107140e+01 1.11122985e+01 3.63e-03 8.88e-16 7.00e-06 0s 27 1.11935016e+01 1.11484537e+01 1.21e-03 6.91e-16 3.19e-06 0s 28 1.11840103e+01 1.11711253e+01 6.38e-05 5.64e-16 9.06e-07 0s 29 1.11830775e+01 1.11823842e+01 1.64e-06 5.87e-16 4.87e-08 0s 30 1.11830018e+01 1.11829911e+01 4.68e-09 7.59e-16 7.46e-10 0s 31 1.11830000e+01 1.11830000e+01 7.64e-13 4.79e-16 9.01e-16 0s Barrier solved model in 31 iterations and 0.23 seconds Optimal objective 1.11830000e+01 Root relaxation: objective 1.118300e+01, 4180 iterations, 0.36 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 11.18300 0 75 70.00000 11.18300 84.0% - 1s H 0 0 13.0000000 11.18300 14.0% - 1s H 0 0 12.0000000 11.18300 6.81% - 2s Explored 0 nodes (10739 simplex iterations) in 2.72 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.200000000000e+01, best bound 1.200000000000e+01, gap 0.0% Preprocessing time: 0.24 seconds Gurobi run time: 2.72 seconds Total run time: 2.95 seconds Objective: 12 Solution: 1 x [2, 5, 5, 5, 5, 25, 26, 28] 1 x [4, 4, 4, 11, 11, 17, 17, 21, 22] 1 x [3, 8, 8, 8, 12, 27, 37, 38] 1 x [3, 8, 8, 16, 20, 29, 33, 33] 1 x [3, 14, 14, 15, 24, 26, 26, 30] 1 x [2, 6, 6, 14, 31, 31, 35] 1 x [1, 9, 10, 12, 15, 34, 36, 38] 1 x [1, 7, 13, 17, 18, 23, 28, 36, 38] 1 x [1, 9, 10, 12, 30, 33, 34, 38] 1 x [7, 13, 17, 18, 27, 28, 32, 35, 35] 1 x [12, 20, 20, 20, 29, 29, 29, 30, 32] 1 x [19, 20, 24, 24, 25, 25, 25, 26, 26]