Build (method = -2) #dp: 32351 Step-3' Graph: 734 vertices and 4437 arcs (0.21s) Step-4' Graph: 633 vertices and 4240 arcs (0.21s) #V4/#V3 = 0.86 #A4/#A3 = 0.96 Ready! (0.21s) Optimize a model with 651 rows, 4241 columns and 11463 nonzeros Presolve removed 75 rows and 152 columns Presolve time: 0.05s Presolved: 576 rows, 4089 columns, 11282 nonzeros Variable types: 0 continuous, 4089 integer (0 binary) Found heuristic solution: objective 133.0000000 Optimize a model with 576 rows, 4089 columns and 11282 nonzeros Presolved: 576 rows, 4089 columns, 11282 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.657e+03 Factor NZ : 2.577e+04 (roughly 2 MBytes of memory) Factor Ops : 1.526e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.91583335e+03 -1.10461642e+05 1.02e+05 2.22e-16 1.28e+02 0s 1 7.36472403e+02 -5.09995201e+04 1.48e+04 6.66e-16 2.16e+01 0s 2 4.45707306e+02 -1.99915969e+04 5.21e+03 1.44e-15 7.20e+00 0s 3 3.40311106e+02 -8.92619732e+03 1.24e+03 1.78e-15 2.10e+00 0s 4 2.94711099e+02 -2.61772268e+03 2.22e+02 3.33e-15 4.82e-01 0s 5 2.76357560e+02 -6.78310370e+02 6.25e-01 3.11e-15 1.17e-01 0s 6 2.40746545e+02 -4.10352646e+02 2.64e-03 1.78e-15 7.94e-02 0s 7 1.98171787e+02 -3.60594503e+02 1.97e-03 1.55e-15 6.82e-02 0s 8 1.61461334e+02 -2.06473695e+02 1.42e-03 9.99e-16 4.49e-02 0s 9 1.25925164e+02 -1.18208930e+02 1.06e-03 6.35e-16 2.98e-02 0s 10 7.97233944e+01 -7.01214596e+01 6.25e-04 3.90e-16 1.83e-02 0s 11 5.25525495e+01 -3.82830827e+01 3.76e-04 4.07e-16 1.11e-02 0s 12 4.23864002e+01 -2.30668343e+01 2.72e-04 4.47e-16 7.99e-03 0s 13 3.56492161e+01 -1.30268714e+01 1.93e-04 4.32e-16 5.94e-03 0s 14 2.87307598e+01 -1.79396083e-01 1.11e-04 4.22e-16 3.53e-03 0s 15 2.46781307e+01 1.24000371e+01 6.30e-05 2.82e-16 1.50e-03 0s 16 2.38822759e+01 1.78912155e+01 3.57e-05 2.76e-16 7.31e-04 0s 17 2.33084012e+01 1.99756627e+01 2.20e-05 2.91e-16 4.07e-04 0s 18 2.23821028e+01 2.16094479e+01 3.22e-06 3.49e-16 9.43e-05 0s 19 2.22455098e+01 2.19486556e+01 5.77e-07 3.33e-16 3.62e-05 0s 20 2.22222593e+01 2.22219472e+01 1.21e-13 3.72e-16 3.81e-08 0s 21 2.22222222e+01 2.22222222e+01 4.27e-14 3.33e-16 3.86e-14 0s Barrier solved model in 21 iterations and 0.09 seconds Optimal objective 2.22222222e+01 Root relaxation: objective 2.222222e+01, 2888 iterations, 0.12 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 22.22222 0 34 133.00000 22.22222 83.3% - 0s H 0 0 23.0000000 22.22222 3.38% - 0s Explored 0 nodes (4907 simplex iterations) in 0.48 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.300000000000e+01, best bound 2.300000000000e+01, gap 0.0% Preprocessing time: 0.23 seconds Gurobi run time: 0.48 seconds Total run time: 0.71 seconds Objective: 23 Solution: 4 x [6, 6, 7, 9, 11, 14, 15, 16, 18] 4 x [2, 5, 5, 7, 14, 14, 16, 16, 18] 3 x [1, 2, 2, 2, 7, 16, 16, 16, 18] 1 x [3, 4, 5, 7, 9, 12, 13, 18, 18] 1 x [3, 4, 7, 8, 9, 12, 13] 1 x [3, 4, 7, 9, 12, 13] 2 x [7, 10, 16, 16, 16, 17, 17, 17, 18] 2 x [6, 8, 9, 9, 10, 11, 14, 16, 18] 1 x [2, 5, 5, 6, 9, 12, 13] 4 x [5, 8, 8, 10, 12, 12, 12, 13, 16]