Build (method = -2) #dp: 6083 Step-3' Graph: 458 vertices and 1647 arcs (0.03s) Step-4' Graph: 364 vertices and 1458 arcs (0.04s) #V4/#V3 = 0.79 #A4/#A3 = 0.89 Ready! (0.04s) Optimize a model with 372 rows, 1459 columns and 3664 nonzeros Presolve removed 92 rows and 184 columns Presolve time: 0.01s Presolved: 280 rows, 1275 columns, 3351 nonzeros Variable types: 0 continuous, 1275 integer (0 binary) Found heuristic solution: objective 863.0000000 Optimize a model with 280 rows, 1275 columns and 3351 nonzeros Presolved: 280 rows, 1275 columns, 3351 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.945e+03 Factor NZ : 7.931e+03 Factor Ops : 2.965e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.31201403e+03 -1.65247262e+05 2.06e+05 2.22e-16 6.05e+02 0s 1 2.34069740e+03 -9.70437381e+04 3.80e+04 1.22e-15 1.28e+02 0s 2 1.39301551e+03 -3.48488067e+04 9.08e+03 1.67e-15 3.24e+01 0s 3 1.07220560e+03 -1.07381172e+04 1.60e+03 1.25e-15 7.36e+00 0s 4 9.90891783e+02 -5.49287777e+03 1.49e+02 7.11e-15 2.73e+00 0s 5 9.03837373e+02 -3.01201754e+03 9.29e-12 4.11e-15 1.53e+00 0s 6 5.53562967e+02 -1.42298786e+03 4.39e-12 1.78e-15 7.73e-01 0s 7 3.29284673e+02 -7.96144804e+02 2.07e-12 1.14e-15 4.40e-01 0s 8 2.28128107e+02 -7.61886846e+01 1.37e-12 1.33e-15 1.19e-01 0s 9 1.30940912e+02 1.22469307e+01 7.30e-13 1.03e-15 4.64e-02 0s 10 1.06580073e+02 4.22116686e+01 4.29e-13 1.13e-15 2.52e-02 0s 11 1.01331036e+02 6.13325738e+01 4.37e-13 1.25e-15 1.56e-02 0s 12 9.32200351e+01 7.38136589e+01 1.02e-12 1.13e-15 7.59e-03 0s 13 8.57803381e+01 7.87743272e+01 1.98e-12 1.19e-15 2.74e-03 0s 14 8.46459114e+01 8.19935885e+01 3.57e-12 1.13e-15 1.04e-03 0s 15 8.37790141e+01 8.26793612e+01 1.37e-10 1.16e-15 4.30e-04 0s 16 8.33378425e+01 8.33111411e+01 2.29e-10 1.04e-15 1.04e-05 0s 17 8.33333379e+01 8.33333112e+01 9.22e-11 8.78e-16 1.04e-08 0s 18 8.33333333e+01 8.33333333e+01 1.09e-10 8.71e-16 1.04e-11 0s Barrier solved model in 18 iterations and 0.02 seconds Optimal objective 8.33333333e+01 Root relaxation: objective 8.333333e+01, 653 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83.33333 0 37 863.00000 83.33333 90.3% - 0s H 0 0 85.0000000 83.33333 1.96% - 0s H 0 0 84.0000000 83.33333 0.79% - 0s Explored 0 nodes (1179 simplex iterations) in 0.10 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.400000000000e+01, best bound 8.400000000000e+01, gap 0.0% Preprocessing time: 0.05 seconds Gurobi run time: 0.10 seconds Total run time: 0.15 seconds Objective: 84 Solution: 9 x [1, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7, 7] 5 x [1, 1, 1, 4, 6, 6, 6, 6, 6, 6, 6, 6] 1 x [1, 1, 1, 6, 6, 6, 6, 6, 6, 6] 1 x [2, 2, 2, 4, 5, 5, 7, 7, 7, 7] 27 x [2, 2, 2, 4, 5, 5, 5, 5, 7, 7, 7, 7] 11 x [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4] 2 x [2, 2, 2, 2, 3, 4, 4, 4, 6, 6, 7, 8] 2 x [2, 2, 2, 2, 4, 4, 4, 6, 6, 7, 8] 1 x [2, 2, 2, 2, 4, 4, 4, 6, 6, 8] 25 x [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 7]