Build (method = -2) #dp: 8150 Step-3' Graph: 287 vertices and 3802 arcs (0.05s) Step-4' Graph: 209 vertices and 3601 arcs (0.06s) #V4/#V3 = 0.73 #A4/#A3 = 0.95 Ready! (0.06s) Optimize a model with 254 rows, 3602 columns and 10395 nonzeros Presolve removed 6 rows and 6 columns Presolve time: 0.04s Presolved: 248 rows, 3596 columns, 10413 nonzeros Variable types: 0 continuous, 3596 integer (1315 binary) Found heuristic solution: objective 62.0000000 Optimize a model with 248 rows, 3596 columns and 10413 nonzeros Presolved: 248 rows, 3596 columns, 10413 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.868e+03 Factor NZ : 1.390e+04 (roughly 2 MBytes of memory) Factor Ops : 1.022e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.30501980e+03 -4.11865558e+04 4.61e+04 2.31e-01 5.91e+01 0s 1 1.99551628e+03 -1.19267895e+04 1.02e+04 7.77e-16 1.31e+01 0s 2 5.28501401e+02 -4.93855304e+03 1.64e+03 8.88e-16 2.43e+00 0s 3 2.75367120e+02 -1.91554881e+03 1.82e+02 1.55e-15 4.53e-01 0s 4 1.45225728e+02 -3.44670495e+02 3.34e+01 6.80e-16 8.76e-02 0s 5 9.58753229e+01 -1.66649754e+02 1.73e+01 5.72e-16 4.46e-02 0s 6 8.30898379e+01 -1.50190604e+02 1.40e+01 7.56e-16 3.89e-02 0s 7 6.32138515e+01 -8.23708686e+01 9.30e+00 6.42e-16 2.40e-02 0s 8 4.16631145e+01 -4.44734692e+01 4.89e+00 6.80e-16 1.37e-02 0s 9 3.20729903e+01 -1.47285694e+01 3.40e+00 6.42e-16 7.46e-03 0s 10 2.28179301e+01 -1.99980360e+00 1.29e+00 8.88e-16 3.72e-03 0s 11 2.16331147e+01 6.01671202e+00 8.51e-01 6.91e-16 2.30e-03 0s 12 2.09227155e+01 1.16411025e+01 6.83e-01 7.74e-16 1.36e-03 0s 13 1.94057158e+01 1.48901086e+01 3.28e-01 8.28e-16 6.49e-04 0s 14 1.86778121e+01 1.64213300e+01 1.79e-01 6.66e-16 3.22e-04 0s 15 1.82110475e+01 1.72039287e+01 9.60e-02 6.24e-16 1.44e-04 0s 16 1.77581284e+01 1.74775059e+01 2.24e-02 6.66e-16 3.98e-05 0s 17 1.76227385e+01 1.75551445e+01 4.53e-03 6.89e-16 9.54e-06 0s 18 1.75948665e+01 1.75757634e+01 1.34e-03 7.25e-16 2.70e-06 0s 19 1.75827949e+01 1.75813686e+01 1.36e-05 8.20e-16 1.98e-07 0s 20 1.75826103e+01 1.75826057e+01 5.79e-14 5.67e-16 6.41e-10 0s 21 1.75826087e+01 1.75826087e+01 1.99e-13 6.46e-16 6.41e-13 0s Barrier solved model in 21 iterations and 0.06 seconds Optimal objective 1.75826087e+01 Root relaxation: objective 1.758261e+01, 1269 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.58261 0 58 62.00000 17.58261 71.6% - 0s H 0 0 19.0000000 17.58261 7.46% - 0s H 0 0 18.0000000 17.58261 2.32% - 0s Explored 0 nodes (2869 simplex iterations) in 0.39 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.800000000000e+01, best bound 1.800000000000e+01, gap 0.0% Preprocessing time: 0.07 seconds Gurobi run time: 0.39 seconds Total run time: 0.46 seconds Objective: 18 Solution: 1 x [27, 32, 40, 42, 45] 1 x [32, 33, 37, 39, 45] 1 x [32, 34, 35, 43, 44] 1 x [30, 32, 34, 43, 44] 1 x [31, 32, 36, 41] 1 x [35, 38, 38, 39] 1 x [4, 5, 9, 19, 28, 29] 2 x [1, 3, 11, 24, 25, 28] 1 x [1, 8, 14, 20, 22, 28] 1 x [2, 12, 12, 15, 24, 27] 1 x [7, 8, 12, 14, 24, 27] 2 x [7, 12, 15, 16, 17, 27] 1 x [10, 11, 12, 15, 17, 27] 1 x [1, 6, 8, 22, 24, 26] 1 x [6, 8, 13, 18, 23, 25] 1 x [7, 8, 15, 18, 21, 25]