Build (method = -2) #dp: 3440 Step-3' Graph: 92 vertices and 1179 arcs (0.02s) Step-4' Graph: 70 vertices and 1135 arcs (0.02s) #V4/#V3 = 0.76 #A4/#A3 = 0.96 Ready! (0.02s) Optimize a model with 138 rows, 1136 columns and 3272 nonzeros Presolve removed 27 rows and 40 columns Presolve time: 0.02s Presolved: 111 rows, 1096 columns, 3154 nonzeros Variable types: 0 continuous, 1096 integer (196 binary) Found heuristic solution: objective 172.0000000 Optimize a model with 111 rows, 1096 columns and 3154 nonzeros Presolved: 111 rows, 1096 columns, 3154 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.698e+03 Factor NZ : 3.113e+03 Factor Ops : 1.176e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.18747005e+03 -1.60593337e+04 2.96e+04 2.34e-01 9.67e+01 0s 1 1.53579707e+03 -5.70546667e+03 5.20e+03 1.11e-15 1.76e+01 0s 2 2.94434435e+02 -2.24017310e+03 3.11e+02 4.00e-15 1.89e+00 0s 3 1.89514677e+02 -3.69916575e+02 3.62e+01 2.66e-15 3.02e-01 0s 4 1.38160981e+02 -1.01244888e+02 5.94e+00 8.88e-16 1.13e-01 0s 5 1.13373597e+02 -2.90770584e+01 2.55e+00 6.66e-16 6.58e-02 0s 6 1.05823372e+02 2.50982808e+01 1.55e+00 3.37e-16 3.70e-02 0s 7 9.41027854e+01 6.04094814e+01 4.69e-01 2.62e-16 1.53e-02 0s 8 9.02304505e+01 8.25491856e+01 2.19e-02 4.44e-16 3.45e-03 0s 9 8.92987330e+01 8.59094653e+01 9.73e-03 3.33e-16 1.52e-03 0s 10 8.87499222e+01 8.74408760e+01 2.84e-03 2.77e-16 5.88e-04 0s 11 8.85298854e+01 8.80941041e+01 1.05e-03 3.33e-16 1.96e-04 0s 12 8.84159535e+01 8.82136602e+01 1.83e-04 4.44e-16 9.09e-05 0s 13 8.83926915e+01 8.83026304e+01 7.80e-05 3.08e-16 4.04e-05 0s 14 8.83853985e+01 8.83511408e+01 4.99e-05 2.22e-16 1.54e-05 0s 15 8.83746540e+01 8.83717486e+01 5.96e-06 3.33e-16 1.31e-06 0s 16 8.83739758e+01 8.83731046e+01 2.23e-06 3.35e-16 3.91e-07 0s 17 8.83733425e+01 8.83733281e+01 1.33e-08 3.11e-16 6.47e-09 0s 18 8.83733333e+01 8.83733333e+01 4.50e-10 3.51e-16 6.48e-12 0s Barrier solved model in 18 iterations and 0.01 seconds Optimal objective 8.83733333e+01 Root relaxation: objective 8.837333e+01, 143 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 88.37333 0 27 172.00000 88.37333 48.6% - 0s H 0 0 91.0000000 88.37333 2.89% - 0s H 0 0 90.0000000 88.37333 1.81% - 0s H 0 0 89.0000000 88.37333 0.70% - 0s Explored 0 nodes (332 simplex iterations) in 0.07 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.900000000000e+01, best bound 8.900000000000e+01, gap 0.0% Preprocessing time: 0.03 seconds Gurobi run time: 0.07 seconds Total run time: 0.10 seconds Objective: 89 Solution: 3 x [19, 68] 4 x [20, 67] 1 x [23, 66] 1 x [22, 66] 1 x [21, 66] 1 x [20, 66] 3 x [24, 65] 3 x [25, 64] 2 x [24, 64] 3 x [26, 63] 3 x [27, 62] 6 x [29, 61] 2 x [30, 60] 4 x [31, 59] 2 x [28, 59] 1 x [30, 58] 1 x [1, 2, 58] 3 x [32, 57] 2 x [33, 56] 2 x [34, 55] 2 x [35, 54] 1 x [3, 4, 54] 2 x [36, 53] 1 x [2, 6, 53] 1 x [4, 4, 53] 1 x [37, 52] 2 x [38, 51] 2 x [39, 50] 1 x [41, 49] 1 x [6, 7, 49] 1 x [4, 48] 5 x [43, 47] 2 x [44, 46] 1 x [45, 45] 1 x [8, 10, 44] 1 x [7, 12, 43] 1 x [6, 14, 42] 1 x [5, 15, 40] 2 x [8, 14, 40] 1 x [9, 13, 40] 1 x [10, 12, 40] 1 x [7, 16, 39] 1 x [10, 13, 39] 2 x [9, 16, 37] 1 x [11, 18, 33] 2 x [12, 18, 32] 1 x [17, 18, 28] 1 x [18, 18, 27] 1 x [15, 24]