Build (method = -2) #dp: 2231 Step-3' Graph: 137 vertices and 499 arcs (0.01s) Step-4' Graph: 102 vertices and 429 arcs (0.01s) #V4/#V3 = 0.74 #A4/#A3 = 0.86 Ready! (0.01s) Optimize a model with 112 rows, 430 columns and 1096 nonzeros Presolve removed 30 rows and 59 columns Presolve time: 0.01s Presolved: 82 rows, 371 columns, 1002 nonzeros Variable types: 0 continuous, 371 integer (47 binary) Found heuristic solution: objective 81.0000000 Optimize a model with 82 rows, 371 columns and 1002 nonzeros Presolved: 82 rows, 371 columns, 1002 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.910e+02 Factor NZ : 1.778e+03 Factor Ops : 4.406e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.82584189e+02 -3.97508225e+03 4.87e+03 1.17e-01 4.02e+01 0s 1 2.50397396e+02 -1.83953777e+03 7.51e+02 6.11e-16 7.04e+00 0s 2 1.04813146e+02 -4.71428072e+02 8.66e+01 4.44e-16 1.09e+00 0s 3 5.90981140e+01 -7.81015872e+01 8.99e+00 3.05e-16 2.01e-01 0s 4 2.99683620e+01 -2.75741014e+01 2.58e+00 2.22e-16 8.11e-02 0s 5 2.01180416e+01 -2.51344335e+00 1.30e+00 2.22e-16 3.19e-02 0s 6 1.70892055e+01 7.55842781e+00 8.08e-01 2.22e-16 1.35e-02 0s 7 1.54787304e+01 1.22673045e+01 4.02e-01 2.22e-16 4.56e-03 0s 8 1.43923195e+01 1.41629941e+01 9.11e-04 2.52e-16 3.06e-04 0s 9 1.42857443e+01 1.42855430e+01 3.06e-07 2.22e-16 2.68e-07 0s 10 1.42857143e+01 1.42857141e+01 4.71e-13 2.22e-16 2.68e-10 0s 11 1.42857143e+01 1.42857143e+01 2.58e-13 2.22e-16 2.68e-13 0s Barrier solved model in 11 iterations and 0.00 seconds Optimal objective 1.42857143e+01 Root relaxation: objective 1.428571e+01, 206 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 14.28571 0 27 81.00000 14.28571 82.4% - 0s H 0 0 16.0000000 14.28571 10.7% - 0s H 0 0 15.0000000 14.28571 4.76% - 0s Explored 0 nodes (256 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.500000000000e+01, best bound 1.500000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.02 seconds Total run time: 0.04 seconds Objective: 15 Solution: 1 x [4, 4, 5, 9] 6 x [1, 2, 4, 4, 5, 8, 10] 1 x [1, 5, 8, 8, 8, 9, 10] 3 x [1, 5, 6, 7, 7, 7, 8] 1 x [5, 5, 6, 7, 8, 9, 9] 1 x [1, 5, 5, 5, 7, 8, 8] 1 x [3, 6, 6, 8, 9, 10, 10] 1 x [1, 6, 7, 8, 10]