Build (method = -2) #dp: 2948 Step-3' Graph: 97 vertices and 438 arcs (0.02s) Step-4' Graph: 67 vertices and 378 arcs (0.02s) #V4/#V3 = 0.69 #A4/#A3 = 0.86 Ready! (0.02s) Optimize a model with 87 rows, 379 columns and 1011 nonzeros Presolve removed 9 rows and 17 columns Presolve time: 0.00s Presolved: 78 rows, 362 columns, 986 nonzeros Variable types: 0 continuous, 362 integer (0 binary) Found heuristic solution: objective 269.0000000 Optimize a model with 78 rows, 362 columns and 986 nonzeros Presolved: 78 rows, 362 columns, 986 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.980e+02 Factor NZ : 1.586e+03 Factor Ops : 3.757e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.98627582e+03 -1.10707862e+04 7.51e+03 2.22e-16 9.24e+01 0s 1 8.35279774e+02 -4.12721898e+03 1.24e+03 6.11e-16 1.69e+01 0s 2 2.91741859e+02 -1.31105054e+03 9.91e+01 1.11e-15 2.76e+00 0s 3 1.71191496e+02 -3.10674967e+02 1.18e-01 8.88e-16 6.48e-01 0s 4 8.81426019e+01 -1.11811789e+02 2.57e-02 4.44e-16 2.69e-01 0s 5 7.23785319e+01 1.29765694e+01 1.29e-02 2.43e-16 7.99e-02 0s 6 6.34538442e+01 4.73389286e+01 5.00e-03 2.22e-16 2.17e-02 0s 7 6.00449288e+01 5.75570240e+01 1.70e-05 3.33e-16 3.34e-03 0s 8 5.94015756e+01 5.93774745e+01 6.82e-14 2.32e-16 3.24e-05 0s 9 5.94000000e+01 5.93999999e+01 1.64e-12 4.44e-16 1.33e-10 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 5.94000000e+01 Root relaxation: objective 5.940000e+01, 240 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 59.40000 0 21 269.00000 59.40000 77.9% - 0s H 0 0 62.0000000 59.40000 4.19% - 0s H 0 0 61.0000000 59.40000 2.62% - 0s H 0 0 60.0000000 59.40000 1.00% - 0s Explored 0 nodes (352 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.000000000000e+01, best bound 6.000000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.02 seconds Total run time: 0.05 seconds Objective: 60 Solution: 4 x [3, 5, 15, 17, 17] 6 x [4, 7, 12, 13, 14] 1 x [5, 7, 8, 9, 20] 3 x [7, 14, 15, 20, 20] 6 x [1, 13, 14, 20, 20] 3 x [7, 9, 9, 20, 20] 8 x [2, 7, 8, 15, 18] 15 x [2, 6, 6, 13, 18] 2 x [2, 7, 10, 14, 15] 6 x [5, 7, 8, 11, 16] 1 x [5, 8, 15, 17, 17] 1 x [6, 9, 9, 11, 15] 2 x [4, 7, 13, 15, 19] 1 x [6, 8, 15, 17] 1 x [4, 10, 13]