Build (method = -2) #dp: 2702 Step-3' Graph: 91 vertices and 280 arcs (0.02s) Step-4' Graph: 46 vertices and 190 arcs (0.02s) #V4/#V3 = 0.51 #A4/#A3 = 0.68 Ready! (0.02s) Optimize a model with 56 rows, 191 columns and 488 nonzeros Presolve removed 17 rows and 34 columns Presolve time: 0.00s Presolved: 39 rows, 157 columns, 424 nonzeros Variable types: 0 continuous, 157 integer (0 binary) Found heuristic solution: objective 85.0000000 Found heuristic solution: objective 55.0000000 Optimize a model with 39 rows, 157 columns and 424 nonzeros Presolved: 39 rows, 157 columns, 424 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.230e+02 Factor NZ : 5.670e+02 Factor Ops : 9.791e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 8.45558288e+02 -2.80588655e+03 1.65e+03 1.11e-16 5.86e+01 0s 1 2.31167453e+02 -1.12098178e+03 1.86e+02 7.77e-16 8.44e+00 0s 2 8.58925014e+01 -2.84029040e+02 5.15e+00 1.22e-15 1.20e+00 0s 3 4.35919400e+01 -4.33813807e+01 5.46e-03 2.78e-16 2.68e-01 0s 4 2.21760595e+01 1.57407204e+00 1.57e-03 2.95e-16 6.36e-02 0s 5 1.59984363e+01 8.68496546e+00 6.81e-04 1.44e-16 2.26e-02 0s 6 1.47101752e+01 1.30210994e+01 1.28e-04 1.46e-16 5.21e-03 0s 7 1.42910317e+01 1.42728848e+01 1.77e-07 1.86e-16 5.60e-05 0s 8 1.42857196e+01 1.42857015e+01 1.30e-14 1.75e-16 5.60e-08 0s 9 1.42857143e+01 1.42857143e+01 2.20e-14 2.22e-16 6.38e-14 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.42857143e+01 Root relaxation: objective 1.428571e+01, 99 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 14 55.00000 14.28571 74.0% - 0s H 0 0 15.0000000 14.28571 4.76% - 0s Explored 0 nodes (150 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 [3, 4, 5, 7, 8, 9, 10] 2 x [1, 3, 5, 7, 8, 9] 7 x [1, 2, 5, 5, 6, 7, 10] 1 x [1, 5, 5, 6] 3 x [1, 4, 4, 4, 6, 7, 8]