Build (method = -2) #dp: 3182 Step-3' Graph: 91 vertices and 1129 arcs (0.01s) Step-4' Graph: 68 vertices and 1083 arcs (0.01s) #V4/#V3 = 0.75 #A4/#A3 = 0.96 Ready! (0.01s) Optimize a model with 134 rows, 1084 columns and 3122 nonzeros Presolve removed 26 rows and 38 columns Presolve time: 0.03s Presolved: 108 rows, 1046 columns, 2989 nonzeros Variable types: 0 continuous, 1046 integer (132 binary) Found heuristic solution: objective 181.0000000 Found heuristic solution: objective 154.0000000 Optimize a model with 108 rows, 1046 columns and 2989 nonzeros Presolved: 108 rows, 1046 columns, 2989 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.583e+03 Factor NZ : 2.985e+03 Factor Ops : 1.143e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.59398582e+03 -7.07448672e+03 2.05e+04 2.42e-01 4.25e+01 0s 1 1.07108654e+03 -2.44969930e+03 3.82e+03 5.55e-16 8.17e+00 0s 2 2.17039954e+02 -1.03620797e+03 1.90e+02 1.22e-15 8.63e-01 0s 3 1.32840711e+02 -2.22895200e+02 7.42e+00 6.66e-16 1.74e-01 0s 4 1.02636592e+02 -4.92158899e+01 1.05e+00 3.33e-16 7.19e-02 0s 5 9.50500508e+01 4.77989738e+01 4.58e-01 2.22e-16 2.23e-02 0s 6 8.95583917e+01 7.11898132e+01 6.68e-02 2.22e-16 8.64e-03 0s 7 8.76213915e+01 8.02920061e+01 1.25e-02 1.27e-16 3.44e-03 0s 8 8.68750470e+01 8.46860912e+01 2.23e-03 3.33e-16 1.03e-03 0s 9 8.66888085e+01 8.58156555e+01 1.05e-03 1.61e-16 4.10e-04 0s 10 8.65266033e+01 8.62267764e+01 2.33e-04 2.30e-16 1.41e-04 0s 11 8.64896082e+01 8.64140883e+01 7.50e-05 2.22e-16 3.55e-05 0s 12 8.64670374e+01 8.64657523e+01 1.46e-07 2.22e-16 6.04e-07 0s 13 8.64666670e+01 8.64666658e+01 5.68e-14 4.44e-16 6.04e-10 0s 14 8.64666667e+01 8.64666667e+01 1.58e-13 2.30e-16 6.04e-13 0s Barrier solved model in 14 iterations and 0.01 seconds Optimal objective 8.64666667e+01 Root relaxation: objective 8.646667e+01, 145 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 86.46667 0 37 154.00000 86.46667 43.9% - 0s H 0 0 90.0000000 86.46667 3.93% - 0s H 0 0 89.0000000 86.46667 2.85% - 0s H 0 0 87.0000000 86.46667 0.61% - 0s Explored 0 nodes (290 simplex iterations) in 0.08 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.700000000000e+01, best bound 8.700000000000e+01, gap 0.0% Preprocessing time: 0.03 seconds Gurobi run time: 0.08 seconds Total run time: 0.10 seconds Objective: 87 Solution: 5 x [20, 66] 1 x [19, 65] 3 x [21, 64] 1 x [19, 64] 3 x [17, 63] 2 x [23, 62] 3 x [22, 62] 1 x [18, 62] 1 x [24, 61] 2 x [25, 60] 1 x [26, 59] 3 x [27, 58] 4 x [28, 57] 3 x [29, 56] 4 x [30, 55] 1 x [1, 2, 55] 3 x [32, 54] 4 x [33, 53] 1 x [2, 4, 53] 1 x [1, 6, 52] 2 x [2, 5, 52] 2 x [36, 51] 2 x [37, 50] 1 x [38, 49] 2 x [4, 7, 49] 2 x [39, 48] 2 x [40, 47] 2 x [41, 46] 2 x [6, 8, 46] 3 x [42, 45] 1 x [4, 10, 45] 1 x [3, 10, 44] 1 x [6, 9, 44] 1 x [8, 8, 44] 2 x [43, 43] 1 x [10, 10, 39] 1 x [6, 16, 38] 1 x [9, 14, 36] 1 x [11, 12, 36] 1 x [11, 13, 35] 1 x [8, 17, 34] 1 x [12, 15, 32] 2 x [2, 26, 31] 1 x [2, 28, 29] 1 x [15, 17, 27] 1 x [7, 26] 1 x [11, 14, 24] 1 x [1, 24, 24]