Build (method = -2) #dp: 13945 Step-3' Graph: 183 vertices and 637 arcs (0.07s) Step-4' Graph: 92 vertices and 455 arcs (0.07s) #V4/#V3 = 0.50 #A4/#A3 = 0.71 Ready! (0.07s) Optimize a model with 111 rows, 456 columns and 1193 nonzeros Presolve removed 20 rows and 37 columns Presolve time: 0.01s Presolved: 91 rows, 419 columns, 1136 nonzeros Variable types: 0 continuous, 419 integer (12 binary) Found heuristic solution: objective 117.0000000 Optimize a model with 91 rows, 419 columns and 1136 nonzeros Presolved: 91 rows, 419 columns, 1136 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.430e+02 Factor NZ : 1.564e+03 Factor Ops : 3.036e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.11340887e+03 -1.34139026e+04 1.01e+04 1.49e-01 1.09e+02 0s 1 7.10773115e+02 -4.38649036e+03 1.43e+03 5.55e-16 1.68e+01 0s 2 2.55472340e+02 -1.50161797e+03 1.96e+02 6.11e-16 3.24e+00 0s 3 1.38935525e+02 -2.41734882e+02 7.89e+00 1.44e-15 4.70e-01 0s 4 8.50694112e+01 -8.75142426e+01 3.26e+00 8.88e-16 2.08e-01 0s 5 4.72833973e+01 -2.09157949e+01 1.22e+00 3.09e-16 8.16e-02 0s 6 3.97049223e+01 5.32023246e+00 7.08e-01 3.33e-16 4.10e-02 0s 7 3.69908619e+01 2.03642509e+01 2.39e-01 2.22e-16 1.96e-02 0s 8 3.34337330e+01 3.24880759e+01 2.46e-04 2.63e-16 1.11e-03 0s 9 3.33333797e+01 3.33330605e+01 4.06e-08 3.33e-16 3.73e-07 0s 10 3.33333334e+01 3.33333331e+01 9.65e-14 3.03e-16 3.73e-10 0s Barrier solved model in 10 iterations and 0.00 seconds Optimal objective 3.33333334e+01 Root relaxation: objective 3.333333e+01, 282 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 33.33333 0 12 117.00000 33.33333 71.5% - 0s H 0 0 34.0000000 33.33333 1.96% - 0s Explored 0 nodes (424 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 3.400000000000e+01, best bound 3.400000000000e+01, gap 0.0% Preprocessing time: 0.08 seconds Gurobi run time: 0.02 seconds Total run time: 0.10 seconds Objective: 34 Solution: 7 x [1, 4, 7, 16, 17, 18] 2 x [1, 7, 11, 16, 18, 19] 2 x [1, 2, 5, 7, 10, 18] 1 x [6, 7, 8, 16, 18, 19] 1 x [2, 3, 5, 6, 9, 17] 6 x [2, 5, 7, 13, 17, 17] 1 x [2, 2, 9, 14] 1 x [2, 2, 2, 6, 7, 12] 1 x [5, 6, 12, 17] 4 x [5, 6, 11, 14, 17, 17] 8 x [5, 6, 6, 15, 17, 17]