Build (method = -2) #dp: 7465 Step-3' Graph: 135 vertices and 1283 arcs (0.04s) Step-4' Graph: 91 vertices and 1195 arcs (0.04s) #V4/#V3 = 0.67 #A4/#A3 = 0.93 Ready! (0.04s) Optimize a model with 177 rows, 1196 columns and 3412 nonzeros Presolve removed 38 rows and 47 columns Presolve time: 0.02s Presolved: 139 rows, 1149 columns, 3289 nonzeros Variable types: 0 continuous, 1149 integer (361 binary) Found heuristic solution: objective 165.0000000 Found heuristic solution: objective 147.0000000 Optimize a model with 139 rows, 1149 columns and 3289 nonzeros Presolved: 139 rows, 1149 columns, 3289 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.564e+03 Factor NZ : 4.959e+03 Factor Ops : 2.217e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.78530811e+03 -1.33116858e+04 7.89e+03 2.29e-01 6.28e+01 0s 1 1.46398616e+03 -3.03381403e+03 1.29e+03 5.55e-16 1.03e+01 0s 2 2.93347766e+02 -1.06893112e+03 1.11e+02 6.66e-16 1.24e+00 0s 3 1.47956588e+02 -2.13703979e+02 6.29e+00 5.55e-16 1.80e-01 0s 4 1.15624611e+02 -3.25990324e+01 1.05e+00 3.33e-16 6.61e-02 0s 5 1.00847881e+02 2.92648443e+01 4.04e-01 3.33e-16 3.13e-02 0s 6 9.45545418e+01 6.16037897e+01 1.61e-01 2.22e-16 1.43e-02 0s 7 9.07095918e+01 7.55937124e+01 6.83e-02 2.22e-16 6.54e-03 0s 8 8.83286907e+01 8.24642820e+01 2.33e-02 2.22e-16 2.53e-03 0s 9 8.75200490e+01 8.44192920e+01 8.44e-03 2.22e-16 1.33e-03 0s 10 8.71290081e+01 8.59230523e+01 1.86e-03 3.33e-16 5.18e-04 0s 11 8.69511064e+01 8.65866048e+01 2.88e-04 2.22e-16 1.56e-04 0s 12 8.69022500e+01 8.67082796e+01 4.68e-05 2.22e-16 8.32e-05 0s 13 8.68857141e+01 8.67900944e+01 2.09e-05 2.22e-16 4.10e-05 0s 14 8.68748519e+01 8.68429621e+01 8.29e-06 2.22e-16 1.37e-05 0s 15 8.68704296e+01 8.68581317e+01 2.12e-06 2.22e-16 5.27e-06 0s 16 8.68677499e+01 8.68668882e+01 4.40e-08 4.44e-16 3.70e-07 0s 17 8.68675219e+01 8.68675209e+01 5.64e-11 3.33e-16 4.06e-10 0s 18 8.68675214e+01 8.68675214e+01 3.08e-13 2.22e-16 4.06e-13 0s Barrier solved model in 18 iterations and 0.02 seconds Optimal objective 8.68675214e+01 Root relaxation: objective 8.686752e+01, 115 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 86.86752 0 34 147.00000 86.86752 40.9% - 0s H 0 0 91.0000000 86.86752 4.54% - 0s H 0 0 89.0000000 86.86752 2.40% - 0s H 0 0 88.0000000 86.86752 1.29% - 0s 0 0 86.90909 0 56 88.00000 86.90909 1.24% - 0s H 0 0 87.0000000 86.90909 0.10% - 0s Cutting planes: Gomory: 2 MIR: 1 Explored 0 nodes (535 simplex iterations) in 0.18 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: 0.05 seconds Gurobi run time: 0.18 seconds Total run time: 0.23 seconds Objective: 87 Solution: 2 x [15, 86] 2 x [16, 85] 2 x [17, 84] 1 x [18, 83] 1 x [1, 17, 83] 1 x [19, 82] 2 x [20, 81] 3 x [22, 80] 1 x [24, 79] 1 x [9, 14, 79] 2 x [25, 78] 1 x [1, 24, 78] 1 x [26, 77] 1 x [2, 23, 77] 1 x [4, 21, 77] 1 x [27, 76] 2 x [28, 75] 1 x [1, 27, 75] 3 x [29, 74] 1 x [3, 25, 74] 1 x [10, 17, 74] 2 x [30, 73] 1 x [11, 16, 72] 1 x [7, 23, 71] 1 x [14, 14, 71] 2 x [32, 70] 1 x [8, 23, 70] 1 x [33, 69] 1 x [3, 30, 69] 1 x [13, 17, 69] 3 x [34, 68] 2 x [35, 67] 2 x [37, 66] 1 x [1, 36, 66] 4 x [38, 65] 1 x [39, 64] 1 x [4, 35, 64] 1 x [4, 36, 63] 1 x [12, 27, 63] 1 x [40, 62] 1 x [41, 61] 2 x [42, 60] 1 x [43, 59] 1 x [44, 58] 4 x [43, 58] 1 x [12, 31, 58] 1 x [16, 23, 58] 1 x [45, 57] 2 x [46, 56] 1 x [47, 55] 3 x [48, 54] 1 x [5, 41, 54] 1 x [6, 40, 54] 2 x [49, 53] 1 x [50, 52] 1 x [3, 40, 51] 1 x [51, 51] 1 x [2, 49, 50] 1 x [5, 46, 49] 1 x [16, 40, 40]