Build (method = -2) #dp: 3327 Step-3' Graph: 177 vertices and 587 arcs (0.02s) Step-4' Graph: 120 vertices and 474 arcs (0.02s) #V4/#V3 = 0.68 #A4/#A3 = 0.81 Ready! (0.02s) Optimize a model with 130 rows, 475 columns and 1194 nonzeros Presolve removed 40 rows and 75 columns Presolve time: 0.01s Presolved: 90 rows, 400 columns, 1092 nonzeros Variable types: 0 continuous, 400 integer (9 binary) Found heuristic solution: objective 90.0000000 Optimize a model with 90 rows, 400 columns and 1092 nonzeros Presolved: 90 rows, 400 columns, 1092 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.170e+02 Factor NZ : 1.864e+03 Factor Ops : 4.433e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.22961651e+03 -6.22430694e+03 9.76e+03 1.35e-01 7.84e+01 0s 1 3.30275096e+02 -2.83873463e+03 1.54e+03 4.44e-16 1.34e+01 0s 2 1.12040753e+02 -1.07601543e+03 1.57e+02 5.55e-16 2.22e+00 0s 3 7.78300715e+01 -1.41844489e+02 1.05e+01 6.66e-16 2.97e-01 0s 4 3.75297281e+01 -3.83024121e+01 2.59e+00 3.33e-16 9.76e-02 0s 5 2.91399243e+01 -2.75653664e+01 1.58e+00 4.44e-16 7.23e-02 0s 6 1.75844482e+01 -7.88966206e+00 6.23e-01 2.22e-16 3.23e-02 0s 7 1.49403529e+01 4.39725485e+00 2.91e-01 2.64e-16 1.33e-02 0s 8 1.30939927e+01 1.09992841e+01 6.46e-02 3.33e-16 2.62e-03 0s 9 1.25123185e+01 1.24620383e+01 7.28e-04 1.74e-16 6.24e-05 0s 10 1.25000125e+01 1.24999620e+01 7.12e-14 3.37e-16 6.24e-08 0s 11 1.25000000e+01 1.25000000e+01 7.19e-15 1.68e-16 6.24e-11 0s Barrier solved model in 11 iterations and 0.00 seconds Optimal objective 1.25000000e+01 Root relaxation: objective 1.250000e+01, 236 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 12.50000 0 26 90.00000 12.50000 86.1% - 0s H 0 0 14.0000000 12.50000 10.7% - 0s H 0 0 13.0000000 12.50000 3.85% - 0s Explored 0 nodes (384 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.300000000000e+01, best bound 1.300000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.02 seconds Total run time: 0.05 seconds Objective: 13 Solution: 1 x [2, 3, 4, 8, 9, 10] 1 x [2, 2, 3, 9, 9, 10, 10] 3 x [3, 3, 5, 5, 5, 9, 9, 9] 1 x [2, 2, 4, 4, 6, 7, 10] 1 x [2, 2, 4, 4, 6, 7, 7, 10] 2 x [3, 3, 6, 6, 7, 10, 10, 10] 3 x [3, 5, 5, 5, 7, 7, 7, 7] 1 x [1, 1, 1, 3, 3, 5, 5, 5]