Build (method = -2) #dp: 26776 Step-3' Graph: 789 vertices and 5582 arcs (0.17s) Step-4' Graph: 706 vertices and 5421 arcs (0.17s) #V4/#V3 = 0.89 #A4/#A3 = 0.97 Ready! (0.17s) Optimize a model with 726 rows, 5422 columns and 14854 nonzeros Presolve removed 72 rows and 128 columns Presolve time: 0.09s Presolved: 654 rows, 5294 columns, 14881 nonzeros Variable types: 0 continuous, 5294 integer (496 binary) Found heuristic solution: objective 175.0000000 Optimize a model with 654 rows, 5294 columns and 14881 nonzeros Presolved: 654 rows, 5294 columns, 14881 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 8.879e+03 Factor NZ : 3.665e+04 (roughly 3 MBytes of memory) Factor Ops : 2.906e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 8.08604682e+03 -2.35731517e+05 2.99e+05 9.92e-02 4.13e+02 0s 1 2.04283436e+03 -1.33473492e+05 5.06e+04 4.00e-15 7.51e+01 0s 2 7.00075792e+02 -6.20729914e+04 9.15e+03 3.00e-15 1.61e+01 0s 3 4.71417871e+02 -2.71383207e+04 2.26e+03 2.61e-15 4.69e+00 0s 4 3.66234545e+02 -7.48512517e+03 6.04e+02 1.07e-14 1.22e+00 0s 5 3.15059624e+02 -2.58624958e+03 3.55e+02 1.02e-14 5.05e-01 0s 6 2.93682344e+02 -1.55470379e+03 1.93e+02 7.99e-15 2.90e-01 0s 7 2.36858434e+02 -4.46598471e+02 8.64e+01 7.11e-15 1.01e-01 0s 8 2.06673300e+02 -2.03676337e+02 4.03e+01 2.89e-15 5.04e-02 0s 9 1.98262472e+02 -1.81055756e+02 3.13e+01 2.98e-15 4.44e-02 0s 10 1.97541232e+02 -1.47309300e+02 3.07e+01 3.60e-15 4.05e-02 0s 11 1.76771027e+02 -1.18761944e+02 1.49e+01 3.86e-15 3.15e-02 0s 12 1.43260809e+02 -1.16072611e+02 1.09e+01 3.72e-15 2.72e-02 0s 13 9.92652104e+01 -7.82670094e+01 7.84e+00 3.44e-15 1.86e-02 0s 14 7.15676405e+01 -5.38185976e+01 5.41e+00 3.28e-15 1.30e-02 0s 15 5.59494602e+01 -3.00524944e+01 4.06e+00 2.80e-15 8.96e-03 0s 16 4.39169579e+01 -2.31984592e+01 3.01e+00 3.24e-15 6.94e-03 0s 17 3.73130305e+01 -1.45040806e+01 2.28e+00 3.41e-15 5.31e-03 0s 18 3.44459924e+01 -6.00106383e+00 1.70e+00 3.57e-15 4.09e-03 0s 19 3.02070706e+01 1.52846260e+00 1.10e+00 3.22e-15 2.86e-03 0s 20 3.04284519e+01 7.98165337e+00 1.02e+00 3.30e-15 2.24e-03 0s 21 2.84283548e+01 1.20879504e+01 7.17e-01 3.21e-15 1.62e-03 0s 22 2.73112351e+01 1.79831044e+01 4.19e-01 2.81e-15 9.11e-04 0s 23 2.65231275e+01 2.10502517e+01 2.97e-01 2.64e-15 5.34e-04 0s 24 2.59777851e+01 2.28252665e+01 2.02e-01 2.58e-15 3.07e-04 0s 25 2.55370595e+01 2.33868952e+01 1.20e-01 2.68e-15 2.08e-04 0s 26 2.54640392e+01 2.44278768e+01 9.47e-02 2.32e-15 1.02e-04 0s 27 2.50669110e+01 2.45016791e+01 1.03e-02 3.23e-15 5.37e-05 0s 28 2.50538214e+01 2.49338302e+01 8.47e-03 1.88e-15 1.16e-05 0s 29 2.50001300e+01 2.49985877e+01 9.00e-13 1.96e-15 1.45e-07 0s 30 2.50000001e+01 2.49999986e+01 7.55e-12 1.75e-15 1.45e-10 0s 31 2.50000000e+01 2.50000000e+01 1.67e-12 1.75e-15 1.45e-13 0s Barrier solved model in 31 iterations and 0.17 seconds Optimal objective 2.50000000e+01 Root relaxation: objective 2.500000e+01, 3904 iterations, 0.22 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 25.00000 0 67 175.00000 25.00000 85.7% - 0s H 0 0 27.0000000 25.00000 7.41% - 0s H 0 0 26.0000000 25.00000 3.85% - 0s 0 0 25.00000 0 71 26.00000 25.00000 3.85% - 1s H 0 0 25.0000000 25.00000 0.0% - 1s Cutting planes: Gomory: 2 Zero half: 1 Explored 0 nodes (7888 simplex iterations) in 1.33 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.500000000000e+01, best bound 2.500000000000e+01, gap 0.0% Preprocessing time: 0.20 seconds Gurobi run time: 1.33 seconds Total run time: 1.53 seconds Objective: 25 Solution: 1 x [2, 7, 9, 13, 13, 13, 20, 20] 1 x [2, 7, 13, 13, 13, 13, 15, 15] 1 x [2, 6, 13, 14, 16, 20, 20, 20] 1 x [1, 2, 3, 6, 18, 18, 18, 18] 1 x [1, 2, 5, 6, 9, 9, 12, 20] 1 x [2, 6, 6, 13, 16, 18, 20, 20] 1 x [2, 6, 6, 10, 10, 13, 16, 20] 2 x [2, 3, 9, 9, 9, 14, 14, 19] 1 x [2, 2, 10, 13, 13, 16, 20, 20] 2 x [1, 7, 7, 9, 11, 13, 14, 20] 1 x [1, 3, 6, 16, 17, 18, 18, 18] 3 x [1, 3, 6, 16, 16, 18, 18, 20] 1 x [4, 4, 9, 14, 14, 14, 14, 16] 4 x [4, 4, 4, 5, 5, 5, 14, 16] 1 x [1, 1, 5, 8, 14, 14, 16, 16] 1 x [1, 1, 3, 9, 9, 9, 14, 14] 1 x [1, 1, 3, 3, 9, 9, 9, 14] 1 x [9, 19, 19, 19, 19, 19, 19, 19]