Build (method = -2) #dp: 3561 Step-3' Graph: 445 vertices and 2142 arcs (0.02s) Step-4' Graph: 407 vertices and 2069 arcs (0.02s) #V4/#V3 = 0.91 #A4/#A3 = 0.97 Ready! (0.02s) Optimize a model with 417 rows, 2070 columns and 5403 nonzeros Presolve removed 47 rows and 87 columns Presolve time: 0.02s Presolved: 370 rows, 1983 columns, 5311 nonzeros Variable types: 0 continuous, 1983 integer (0 binary) Found heuristic solution: objective 59.0000000 Optimize a model with 370 rows, 1983 columns and 5311 nonzeros Presolved: 370 rows, 1983 columns, 5311 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.056e+03 Factor NZ : 1.676e+04 (roughly 1 MByte of memory) Factor Ops : 1.272e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.90592224e+02 -5.69789215e+04 3.44e+04 2.22e-16 1.02e+02 0s 1 2.87380483e+02 -3.52325958e+04 5.26e+03 7.77e-16 2.12e+01 0s 2 1.74045742e+02 -1.32253142e+04 1.49e+03 2.22e-15 6.31e+00 0s 3 1.71605905e+02 -3.16659612e+03 4.56e+02 7.64e-14 1.57e+00 0s 4 1.51214766e+02 -1.03986781e+03 1.46e+01 1.95e-14 3.16e-01 0s 5 1.47199850e+02 -8.25045277e+02 4.04e-02 1.60e-14 2.45e-01 0s 6 1.11275987e+02 -4.64352975e+02 1.90e-02 8.44e-15 1.45e-01 0s 7 9.21370122e+01 -2.15685854e+02 1.06e-02 3.33e-15 7.74e-02 0s 8 9.35838811e+01 -1.79642366e+02 1.03e-02 3.33e-15 6.87e-02 0s 9 8.90143772e+01 -1.60131802e+02 6.05e-03 3.33e-15 6.27e-02 0s 10 5.91069222e+01 -9.46225528e+01 1.88e-03 1.89e-15 3.87e-02 0s 11 3.78067690e+01 -2.96672984e+01 1.12e-03 6.91e-16 1.70e-02 0s 12 2.31170141e+01 -2.03353215e+01 5.91e-04 7.67e-16 1.09e-02 0s 13 1.96777849e+01 -1.05085438e+01 4.12e-04 8.26e-16 7.59e-03 0s 14 1.85121071e+01 -5.87639423e+00 3.20e-04 8.30e-16 6.13e-03 0s 15 1.49982469e+01 4.12385409e+00 1.46e-04 6.51e-16 2.74e-03 0s 16 1.31288786e+01 8.70590605e+00 5.30e-05 5.50e-16 1.11e-03 0s 17 1.25537044e+01 1.10291372e+01 2.41e-05 5.55e-16 3.83e-04 0s 18 1.22479854e+01 1.14000259e+01 1.15e-05 6.66e-16 2.13e-04 0s 19 1.20844572e+01 1.17073885e+01 5.31e-06 5.55e-16 9.48e-05 0s 20 1.19932509e+01 1.17848096e+01 2.25e-06 7.16e-16 5.24e-05 0s 21 1.19410969e+01 1.18599469e+01 6.62e-07 5.67e-16 2.04e-05 0s 22 1.19248340e+01 1.18895906e+01 2.90e-07 5.65e-16 8.86e-06 0s 23 1.19148760e+01 1.19034016e+01 5.83e-08 5.07e-16 2.89e-06 0s 24 1.19118692e+01 1.19103472e+01 1.28e-08 4.43e-16 3.83e-07 0s 25 1.19110013e+01 1.19109970e+01 1.42e-11 4.25e-16 1.07e-09 0s 26 1.19110000e+01 1.19110000e+01 6.84e-14 4.28e-16 1.15e-15 0s Barrier solved model in 26 iterations and 0.06 seconds Optimal objective 1.19110000e+01 Root relaxation: objective 1.191100e+01, 476 iterations, 0.07 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 11.91100 0 43 59.00000 11.91100 79.8% - 0s H 0 0 13.0000000 11.91100 8.38% - 0s 0 0 11.91100 0 71 13.00000 11.91100 8.38% - 0s 0 0 11.91100 0 75 13.00000 11.91100 8.38% - 0s 0 0 11.91100 0 70 13.00000 11.91100 8.38% - 0s 0 0 11.91100 0 80 13.00000 11.91100 8.38% - 0s 0 0 11.91100 0 38 13.00000 11.91100 8.38% - 1s 0 0 11.91100 0 53 13.00000 11.91100 8.38% - 1s 0 0 11.91200 0 78 13.00000 11.91200 8.37% - 1s 0 0 11.91200 0 87 13.00000 11.91200 8.37% - 1s 0 0 11.91200 0 97 13.00000 11.91200 8.37% - 1s H 0 0 12.0000000 11.91200 0.73% - 1s Cutting planes: Gomory: 2 Zero half: 2 Explored 0 nodes (2987 simplex iterations) in 1.53 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: 0.03 seconds Gurobi run time: 1.53 seconds Total run time: 1.56 seconds Objective: 12 Solution: 1 x [3, 3, 3, 4, 5, 8, 8, 9] 1 x [2, 3, 4, 4, 8, 9, 10, 10] 1 x [2, 2, 3, 3, 6, 6, 8, 9, 9] 1 x [3, 3, 3, 8, 9, 9, 10, 10] 2 x [2, 8, 9, 9, 9, 10, 10, 10] 2 x [1, 1, 1, 1, 1, 3, 4] 2 x [2, 4, 5, 6, 6, 8, 8, 10, 10, 10] 1 x [4, 4, 7, 8, 8, 8, 8, 10] 1 x [4, 4, 5, 5, 5, 6, 7, 10, 10]