Build (method = -2) #dp: 3529 Step-3' Graph: 90 vertices and 275 arcs (0.02s) Step-4' Graph: 31 vertices and 157 arcs (0.02s) #V4/#V3 = 0.34 #A4/#A3 = 0.57 Ready! (0.02s) Optimize a model with 41 rows, 158 columns and 420 nonzeros Presolve removed 2 rows and 3 columns Presolve time: 0.00s Presolved: 39 rows, 155 columns, 414 nonzeros Variable types: 0 continuous, 155 integer (6 binary) Found heuristic solution: objective 90.0000000 Found heuristic solution: objective 81.0000000 Optimize a model with 39 rows, 155 columns and 414 nonzeros Presolved: 39 rows, 155 columns, 414 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.180e+02 Factor NZ : 5.640e+02 Factor Ops : 9.668e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.09607271e+03 -3.25584435e+03 2.90e+03 6.84e-02 8.22e+01 0s 1 2.50822419e+02 -1.39708664e+03 2.79e+02 5.55e-16 1.06e+01 0s 2 8.67189774e+01 -3.64695452e+02 2.13e+01 5.55e-16 1.66e+00 0s 3 3.68427474e+01 -3.67095397e+01 7.97e-13 1.11e-15 2.31e-01 0s 4 1.79330573e+01 -1.48866117e+00 2.53e-13 5.55e-16 6.09e-02 0s 5 1.42877414e+01 7.18840924e+00 1.23e-13 6.66e-16 2.23e-02 0s 6 1.32332761e+01 1.17342760e+01 3.68e-14 4.60e-16 4.70e-03 0s 7 1.25046780e+01 1.24792643e+01 1.95e-13 3.80e-16 7.97e-05 0s 8 1.25000047e+01 1.24999793e+01 4.10e-15 5.76e-16 7.97e-08 0s 9 1.25000000e+01 1.25000000e+01 1.22e-14 5.55e-16 7.98e-14 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.25000000e+01 Root relaxation: objective 1.250000e+01, 97 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 12.50000 0 16 81.00000 12.50000 84.6% - 0s H 0 0 13.0000000 12.50000 3.85% - 0s Explored 0 nodes (107 simplex iterations) in 0.01 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: 0.01 seconds Total run time: 0.03 seconds Objective: 13 Solution: 1 x [1, 5, 7, 7, 8, 8, 10] 3 x [1, 5, 7, 7, 8, 8, 8, 10] 5 x [1, 2, 3, 3, 7, 7, 10, 10] 2 x [1, 1, 2, 3, 3, 5, 6, 6] 1 x [2, 3, 4, 5, 6, 10] 1 x [2, 3, 3, 4, 5, 9, 10]