Build (method = -2) #dp: 726739 Step-3' Graph: 3265 vertices and 29752 arcs (10.90s) Step-4' Graph: 2581 vertices and 28389 arcs (10.92s) #V4/#V3 = 0.79 #A4/#A3 = 0.95 Ready! (10.92s) Optimize a model with 2627 rows, 28390 columns and 80011 nonzeros Presolve removed 346 rows and 676 columns Presolve time: 0.66s Presolved: 2281 rows, 27714 columns, 79979 nonzeros Variable types: 0 continuous, 27714 integer (9436 binary) Found heuristic solution: objective 138.0000000 Optimize a model with 2281 rows, 27714 columns and 79979 nonzeros Presolve removed 6 rows and 6 columns Presolved: 2275 rows, 27708 columns, 79980 nonzeros Root barrier log... Ordering time: 0.26s Barrier statistics: AA' NZ : 5.065e+04 Factor NZ : 3.413e+05 (roughly 15 MBytes of memory) Factor Ops : 1.086e+08 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.55055825e+04 -3.60655492e+05 1.07e+06 6.78e-02 2.67e+02 0s 1 2.60262641e+03 -1.70882518e+05 1.18e+05 8.88e-16 3.16e+01 0s 2 8.01753155e+02 -6.83415554e+04 2.17e+04 3.11e-15 6.32e+00 1s 3 4.41732228e+02 -3.17001114e+04 3.93e+03 3.55e-15 1.39e+00 1s 4 4.18001148e+02 -1.67262357e+04 1.33e+03 1.11e-15 5.66e-01 1s 5 3.33871625e+02 -6.17241161e+03 3.58e+02 2.22e-15 1.81e-01 1s 6 2.91471737e+02 -3.55516560e+03 1.84e+02 2.22e-15 1.00e-01 1s 7 2.07744942e+02 -2.29186261e+03 9.85e+01 2.00e-15 6.07e-02 1s 8 1.76129874e+02 -1.51689683e+03 5.87e+01 2.00e-15 3.91e-02 1s 9 1.68928690e+02 -1.06438448e+03 5.22e+01 1.08e-15 2.93e-02 1s 10 1.56065362e+02 -8.82326439e+02 4.43e+01 1.08e-15 2.46e-02 1s 11 1.23095923e+02 -6.45713124e+02 2.26e+01 8.88e-16 1.67e-02 1s 12 9.35135774e+01 -4.33399529e+02 1.47e+01 1.12e-15 1.13e-02 1s 13 7.07363148e+01 -3.26537405e+02 9.92e+00 9.65e-16 8.30e-03 1s 14 5.79448860e+01 -1.69249467e+02 7.21e+00 9.58e-16 4.82e-03 1s 15 4.59066790e+01 -1.32426626e+02 4.86e+00 9.29e-16 3.68e-03 1s 16 4.47314946e+01 -1.14803379e+02 4.57e+00 1.09e-15 3.30e-03 1s 17 4.03080104e+01 -8.62443195e+01 3.69e+00 1.07e-15 2.60e-03 1s 18 3.47119948e+01 -5.44002573e+01 2.49e+00 7.71e-16 1.79e-03 1s 19 2.93812696e+01 -3.51401183e+01 1.44e+00 6.57e-16 1.26e-03 1s 20 2.67256634e+01 -1.88608964e+01 9.93e-01 7.70e-16 8.82e-04 2s 21 2.62690950e+01 -1.00947841e+01 9.16e-01 6.40e-16 7.05e-04 2s 22 2.48144169e+01 2.03957272e+00 5.85e-01 5.43e-16 4.36e-04 2s 23 2.41242070e+01 1.14781808e+01 3.89e-01 3.92e-16 2.40e-04 2s 24 2.40052690e+01 1.59868641e+01 3.12e-01 4.44e-16 1.52e-04 2s 25 2.34683566e+01 1.96758252e+01 1.83e-02 4.01e-16 6.87e-05 2s 26 2.32984762e+01 2.30625933e+01 6.46e-12 4.71e-16 4.25e-06 2s 27 2.32857298e+01 2.32854907e+01 3.22e-11 3.33e-16 4.31e-09 2s 28 2.32857143e+01 2.32857141e+01 2.87e-12 3.87e-16 4.31e-12 2s 29 2.32857143e+01 2.32857143e+01 1.79e-12 3.33e-16 4.31e-15 2s Barrier solved model in 29 iterations and 2.05 seconds Optimal objective 2.32857143e+01 Root relaxation: objective 2.328571e+01, 22647 iterations, 2.42 seconds Total elapsed time = 5.97s Total elapsed time = 10.29s Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 23.28571 0 48 138.00000 23.28571 83.1% - 10s H 0 0 24.0000000 23.28571 2.98% - 10s Explored 0 nodes (37386 simplex iterations) in 10.85 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.400000000000e+01, best bound 2.400000000000e+01, gap 0.0% Preprocessing time: 11.02 seconds Gurobi run time: 10.85 seconds Total run time: 21.87 seconds Objective: 24 Solution: 1 x [7, 17, 32, 35, 45] 1 x [7, 9, 10, 11, 17, 40, 43] 1 x [3, 10, 10, 22, 33, 33, 34] 1 x [6, 7, 8, 25, 30, 31, 45] 1 x [4, 19, 20, 40, 41, 41, 42] 1 x [3, 7, 7, 7, 23, 29, 30] 1 x [5, 19, 20, 25, 40, 40, 46] 1 x [7, 26, 37, 38, 43, 45] 1 x [2, 4, 7, 19, 21, 21, 42] 1 x [2, 7, 21, 26, 36] 1 x [7, 7, 7, 12, 23, 27, 30] 1 x [7, 7, 12, 20, 21, 42, 45] 3 x [7, 7, 27, 30, 38, 39, 45] 2 x [7, 7, 12, 16, 21, 34, 45] 1 x [19, 28, 28, 46, 46, 46, 46] 1 x [15, 15, 15, 19, 39, 45, 46] 1 x [1, 7, 13, 13, 14, 19, 24] 1 x [7, 17, 19, 35, 35, 38, 44] 1 x [7, 15, 22, 33, 33, 33, 44] 2 x [7, 18, 18, 19, 19, 19, 45]