Build (method = -2) #dp: 1625 Step-3' Graph: 62 vertices and 281 arcs (0.01s) Step-4' Graph: 36 vertices and 229 arcs (0.01s) #V4/#V3 = 0.58 #A4/#A3 = 0.81 Ready! (0.01s) Optimize a model with 56 rows, 230 columns and 625 nonzeros Presolve removed 5 rows and 9 columns Presolve time: 0.00s Presolved: 51 rows, 221 columns, 609 nonzeros Variable types: 0 continuous, 221 integer (0 binary) Found heuristic solution: objective 347.0000000 Found heuristic solution: objective 210.0000000 Optimize a model with 51 rows, 221 columns and 609 nonzeros Presolved: 51 rows, 221 columns, 609 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.430e+02 Factor NZ : 8.850e+02 Factor Ops : 1.858e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.55853661e+03 -7.60960223e+03 3.40e+03 2.22e-16 1.15e+02 0s 1 8.83315642e+02 -2.85527583e+03 4.22e+02 6.66e-16 1.75e+01 0s 2 3.01031868e+02 -8.02068861e+02 1.60e+01 5.55e-16 2.61e+00 0s 3 1.67280626e+02 -1.58189162e+02 8.87e-01 3.33e-16 7.10e-01 0s 4 1.05219745e+02 1.12740808e+01 1.86e-01 2.45e-16 2.04e-01 0s 5 9.78539875e+01 8.36886018e+01 7.47e-02 3.33e-16 3.07e-02 0s 6 9.30490036e+01 9.27936209e+01 3.06e-04 3.03e-16 5.53e-04 0s 7 9.30000015e+01 9.29999942e+01 1.24e-08 2.51e-16 1.58e-08 0s 8 9.30000000e+01 9.30000000e+01 4.52e-14 2.22e-16 1.58e-11 0s Barrier solved model in 8 iterations and 0.00 seconds Optimal objective 9.30000000e+01 Root relaxation: objective 9.300000e+01, 155 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 93.00000 0 12 210.00000 93.00000 55.7% - 0s H 0 0 95.0000000 93.00000 2.11% - 0s * 0 0 0 93.0000000 93.00000 0.0% - 0s Cutting planes: Gomory: 2 Mod-K: 3 Explored 0 nodes (221 simplex iterations) in 0.01 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 9.300000000000e+01, best bound 9.300000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.01 seconds Total run time: 0.04 seconds Objective: 93 Solution: 6 x [2, 5, 15, 18] 11 x [2, 9, 15, 17] 2 x [2, 11, 11, 16] 1 x [2, 11, 11, 11] 5 x [6, 11, 12, 13] 1 x [4, 6, 13, 14] 2 x [1, 6, 11, 14] 4 x [4, 5, 6, 19] 1 x [4, 6, 11, 13] 5 x [1, 1, 1, 6] 5 x [6, 6, 6, 13] 10 x [10, 12, 13, 20] 16 x [7, 8, 9, 14] 5 x [8, 9, 14, 14] 18 x [3, 5, 11, 16] 1 x [13, 15, 16, 20]