Build (method = -2) #dp: 19833 Step-3' Graph: 576 vertices and 9456 arcs (0.18s) Step-4' Graph: 544 vertices and 9376 arcs (0.19s) #V4/#V3 = 0.94 #A4/#A3 = 0.99 Ready! (0.19s) Optimize a model with 581 rows, 9377 columns and 27045 nonzeros Presolve removed 8 rows and 14 columns Presolve time: 0.13s Presolved: 573 rows, 9363 columns, 27026 nonzeros Variable types: 0 continuous, 9363 integer (1039 binary) Found heuristic solution: objective 81.0000000 Optimize a model with 573 rows, 9363 columns and 27026 nonzeros Presolved: 573 rows, 9363 columns, 27026 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 1.611e+04 Factor NZ : 5.456e+04 (roughly 4 MBytes of memory) Factor Ops : 6.997e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.65974391e+03 -1.47199004e+05 8.03e+04 8.37e-02 8.43e+01 0s 1 1.65154758e+03 -4.15962446e+04 1.17e+04 2.33e-15 1.29e+01 0s 2 6.65466527e+02 -1.76267225e+04 2.07e+03 1.44e-15 2.69e+00 0s 3 4.76322321e+02 -6.31577677e+03 5.45e+02 4.00e-15 7.03e-01 0s 4 3.50711329e+02 -3.13375358e+03 3.00e+02 8.88e-15 3.50e-01 0s 5 2.65648744e+02 -1.83214685e+03 1.91e+02 5.33e-15 2.07e-01 0s 6 1.78529791e+02 -1.22816245e+03 8.45e+01 3.33e-15 1.14e-01 0s 7 1.52679190e+02 -8.69231198e+02 5.92e+01 5.33e-15 7.85e-02 0s 8 1.18537259e+02 -1.88736876e+02 2.89e+01 4.30e-15 2.37e-02 0s 9 9.47363302e+01 -1.42622319e+02 1.20e+01 3.41e-15 1.53e-02 0s 10 9.14127360e+01 -1.13320040e+02 1.11e+01 3.66e-15 1.32e-02 0s 11 8.58236945e+01 -6.30305018e+01 7.90e+00 3.25e-15 9.17e-03 0s 12 8.26426176e+01 -6.13365902e+01 7.11e+00 4.20e-15 8.78e-03 0s 13 7.68026712e+01 -6.17166903e+01 6.47e+00 5.14e-15 8.40e-03 0s 14 6.11646339e+01 -4.71046807e+01 5.16e+00 4.48e-15 6.55e-03 0s 15 4.28270700e+01 -2.25298135e+01 3.65e+00 3.18e-15 4.00e-03 0s 16 3.14857004e+01 -1.37839340e+01 2.61e+00 2.83e-15 2.76e-03 0s 17 2.47480441e+01 -7.99528365e+00 1.99e+00 2.77e-15 1.99e-03 0s 18 2.13353754e+01 -5.56412452e+00 1.64e+00 3.21e-15 1.63e-03 0s 19 1.53363521e+01 -5.98008829e-01 9.43e-01 2.99e-15 9.45e-04 0s 20 1.34541851e+01 4.80176575e+00 5.93e-01 2.42e-15 5.06e-04 0s 21 1.31214337e+01 7.12213093e+00 4.69e-01 2.93e-15 3.46e-04 0s 22 1.18582488e+01 8.11576978e+00 1.59e-01 3.17e-15 2.07e-04 0s 23 1.15538057e+01 9.36516393e+00 9.77e-02 2.55e-15 1.20e-04 0s 24 1.14285427e+01 9.97184359e+00 7.55e-02 3.27e-15 8.01e-05 0s 25 1.12144341e+01 1.04641440e+01 3.65e-02 3.13e-15 4.10e-05 0s 26 1.10455434e+01 1.07327382e+01 1.13e-02 2.74e-15 1.70e-05 0s 27 1.09795063e+01 1.08260221e+01 3.98e-03 2.90e-15 8.28e-06 0s 28 1.09605950e+01 1.08919088e+01 2.10e-03 2.37e-15 3.71e-06 0s 29 1.09448588e+01 1.09226862e+01 6.01e-04 2.57e-15 1.20e-06 0s 30 1.09384788e+01 1.09370931e+01 3.90e-05 2.22e-15 7.48e-08 0s 31 1.09380005e+01 1.09379991e+01 2.87e-14 2.50e-15 7.72e-11 0s 32 1.09380000e+01 1.09380000e+01 4.24e-13 2.55e-15 7.72e-14 0s Barrier solved model in 32 iterations and 0.42 seconds Optimal objective 1.09380000e+01 Root relaxation: objective 1.093800e+01, 5325 iterations, 0.60 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 10.93800 0 120 81.00000 10.93800 86.5% - 1s H 0 0 13.0000000 10.93800 15.9% - 1s H 0 0 12.0000000 10.93800 8.85% - 2s 0 0 10.93800 0 152 12.00000 10.93800 8.85% - 2s 0 0 10.93800 0 173 12.00000 10.93800 8.85% - 4s 0 0 10.93800 0 171 12.00000 10.93800 8.85% - 5s H 0 0 11.0000000 10.93800 0.56% - 6s Cutting planes: Zero half: 2 Explored 0 nodes (9217 simplex iterations) in 6.73 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.100000000000e+01, best bound 1.100000000000e+01, gap 0.0% Preprocessing time: 0.23 seconds Gurobi run time: 6.73 seconds Total run time: 6.96 seconds Objective: 11 Solution: 1 x [1, 2, 2, 4, 8, 10, 16, 17, 29] 1 x [5, 6, 12, 18, 19, 24, 25, 36, 37] 1 x [3, 8, 11, 16, 26, 32, 33, 34, 37] 1 x [10, 13, 17, 18, 20, 21, 30, 34, 37] 1 x [4, 4, 6, 27, 27, 28, 31, 32, 37] 1 x [5, 10, 15, 17, 26, 28, 30, 32, 36] 1 x [8, 11, 13, 13, 14, 34, 36, 36, 36] 1 x [8, 14, 15, 17, 19, 22, 27, 32, 35] 1 x [4, 4, 6, 25, 27, 29, 31, 35, 35] 1 x [3, 17, 18, 19, 21, 22, 24, 24, 25] 1 x [3, 4, 7, 9, 10, 12, 12, 15, 23, 24]