Build (method = -2) #dp: 2592 Step-3' Graph: 91 vertices and 276 arcs (0.01s) Step-4' Graph: 40 vertices and 174 arcs (0.01s) #V4/#V3 = 0.44 #A4/#A3 = 0.63 Ready! (0.01s) Optimize a model with 50 rows, 175 columns and 453 nonzeros Presolve removed 11 rows and 21 columns Presolve time: 0.00s Presolved: 39 rows, 154 columns, 412 nonzeros Variable types: 0 continuous, 154 integer (10 binary) Found heuristic solution: objective 95.0000000 Found heuristic solution: objective 92.0000000 Found heuristic solution: objective 55.0000000 Optimize a model with 39 rows, 154 columns and 412 nonzeros Presolved: 39 rows, 154 columns, 412 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.150e+02 Factor NZ : 5.410e+02 Factor Ops : 8.805e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.31885146e+02 -2.91740417e+03 2.18e+03 6.23e-02 6.24e+01 0s 1 2.70694234e+02 -1.19672643e+03 3.68e+02 9.99e-16 1.14e+01 0s 2 8.97102588e+01 -3.62937918e+02 2.47e+01 6.66e-16 1.73e+00 0s 3 4.44243151e+01 -6.53957063e+01 1.33e-02 6.94e-16 3.47e-01 0s 4 2.15898787e+01 4.92919167e-01 3.17e-03 5.69e-16 6.66e-02 0s 5 1.64421927e+01 6.60959834e+00 1.41e-03 7.65e-16 3.10e-02 0s 6 1.54891914e+01 1.20528316e+01 5.71e-04 4.85e-16 1.08e-02 0s 7 1.43846764e+01 1.38662647e+01 1.73e-05 6.21e-16 1.64e-03 0s 8 1.42860092e+01 1.42837510e+01 5.05e-14 4.77e-16 7.12e-06 0s 9 1.42857143e+01 1.42857143e+01 1.12e-14 4.37e-16 1.45e-11 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.42857143e+01 Root relaxation: objective 1.428571e+01, 101 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 14.28571 0 17 55.00000 14.28571 74.0% - 0s H 0 0 15.0000000 14.28571 4.76% - 0s Explored 0 nodes (127 simplex iterations) in 0.01 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: 0.01 seconds Total run time: 0.03 seconds Objective: 15 Solution: 2 x [2, 3, 4, 5, 7, 8, 10] 6 x [2, 3, 5, 7, 8, 10, 10] 3 x [2, 3, 3, 4, 5, 7, 7] 1 x [2, 3, 6, 9] 1 x [2, 8, 9, 9, 9] 2 x [1, 9, 9, 9, 9, 9, 10]