Build (method = -2) #dp: 8244 Step-3' Graph: 312 vertices and 3738 arcs (0.05s) Step-4' Graph: 206 vertices and 3449 arcs (0.06s) #V4/#V3 = 0.66 #A4/#A3 = 0.92 Ready! (0.06s) Optimize a model with 252 rows, 3450 columns and 9942 nonzeros Presolve removed 9 rows and 13 columns Presolve time: 0.04s Presolved: 243 rows, 3437 columns, 9919 nonzeros Variable types: 0 continuous, 3437 integer (1181 binary) Found heuristic solution: objective 68.0000000 Optimize a model with 243 rows, 3437 columns and 9919 nonzeros Presolved: 243 rows, 3437 columns, 9919 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.631e+03 Factor NZ : 1.380e+04 (roughly 2 MBytes of memory) Factor Ops : 1.021e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.23470587e+03 -5.12023096e+04 3.06e+04 1.44e-01 6.01e+01 0s 1 1.27623642e+03 -1.09173999e+04 5.14e+03 1.11e-15 1.00e+01 0s 2 3.83280514e+02 -5.44192866e+03 6.28e+02 6.66e-16 1.77e+00 0s 3 2.03087794e+02 -1.19438844e+03 6.83e+01 2.89e-15 2.79e-01 0s 4 1.09511379e+02 -2.94453462e+02 1.93e+01 1.30e-15 7.50e-02 0s 5 8.81185278e+01 -1.48778863e+02 9.15e+00 1.42e-15 3.97e-02 0s 6 7.71921489e+01 -1.24398982e+02 6.51e+00 1.50e-15 3.28e-02 0s 7 6.71088520e+01 -7.83241484e+01 4.78e+00 1.71e-15 2.34e-02 0s 8 4.87957527e+01 -3.51769379e+01 2.95e+00 1.46e-15 1.34e-02 0s 9 3.39125852e+01 -2.22813400e+01 1.93e+00 1.66e-15 8.87e-03 0s 10 2.52690674e+01 -8.52372667e+00 1.07e+00 1.77e-15 5.22e-03 0s 11 2.35074360e+01 3.99848286e+00 8.11e-01 1.42e-15 2.99e-03 0s 12 2.05483462e+01 1.03021083e+01 4.08e-01 1.48e-15 1.54e-03 0s 13 1.93749593e+01 1.47393640e+01 1.71e-01 1.53e-15 6.86e-04 0s 14 1.85644027e+01 1.65284185e+01 7.67e-02 1.49e-15 3.00e-04 0s 15 1.79972794e+01 1.72213847e+01 2.07e-02 1.15e-15 1.14e-04 0s 16 1.77925934e+01 1.75790445e+01 4.88e-03 1.12e-15 3.12e-05 0s 17 1.77419593e+01 1.76660615e+01 1.74e-03 1.07e-15 1.11e-05 0s 18 1.77109886e+01 1.77033377e+01 6.40e-05 1.38e-15 1.11e-06 0s 19 1.77091233e+01 1.77090068e+01 1.53e-08 1.33e-15 1.69e-08 0s 20 1.77090909e+01 1.77090908e+01 2.39e-12 1.27e-15 1.69e-11 0s Barrier solved model in 20 iterations and 0.06 seconds Optimal objective 1.77090909e+01 Root relaxation: objective 1.770909e+01, 1287 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.70909 0 64 68.00000 17.70909 74.0% - 0s H 0 0 20.0000000 17.70909 11.5% - 0s H 0 0 19.0000000 17.70909 6.79% - 0s 0 0 17.83333 0 107 19.00000 17.83333 6.14% - 0s 0 0 17.83333 0 118 19.00000 17.83333 6.14% - 0s H 0 0 18.0000000 17.83333 0.93% - 0s Cutting planes: Gomory: 3 Zero half: 2 Explored 0 nodes (2627 simplex iterations) in 0.94 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: 0.94 seconds Total run time: 1.01 seconds Objective: 18 Solution: 1 x [33, 39, 44, 45, 46] 2 x [31, 37, 38, 43, 44] 1 x [5, 18, 34, 39, 44] 1 x [22, 23, 27, 30, 43] 1 x [31, 36, 39, 41, 42] 1 x [21, 24, 25, 29, 42] 1 x [35, 37, 39, 40, 40] 1 x [2, 3, 7, 17, 27, 35] 1 x [4, 6, 6, 11, 27, 34] 1 x [2, 3, 12, 23, 25, 34] 1 x [6, 12, 15, 16, 19, 34] 1 x [8, 9, 11, 19, 22, 32] 1 x [1, 6, 6, 26, 27, 28] 1 x [2, 13, 14, 15, 26, 28] 1 x [6, 12, 14, 20, 22, 27] 1 x [8, 8, 15, 15, 23, 26] 1 x [10, 11, 15, 17, 21, 22]