Build (method = -2) #dp: 3103 Step-3' Graph: 89 vertices and 1376 arcs (0.01s) Step-4' Graph: 81 vertices and 1360 arcs (0.01s) #V4/#V3 = 0.91 #A4/#A3 = 0.99 Ready! (0.01s) Optimize a model with 147 rows, 1361 columns and 3927 nonzeros Presolve removed 27 rows and 36 columns Presolve time: 0.03s Presolved: 120 rows, 1325 columns, 3807 nonzeros Variable types: 0 continuous, 1325 integer (193 binary) Found heuristic solution: objective 167.0000000 Found heuristic solution: objective 157.0000000 Optimize a model with 120 rows, 1325 columns and 3807 nonzeros Presolved: 120 rows, 1325 columns, 3807 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.015e+03 Factor NZ : 3.940e+03 Factor Ops : 1.753e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.74761274e+03 -1.20686759e+04 2.77e+04 1.72e-01 6.53e+01 0s 1 1.65958033e+03 -4.22808940e+03 4.94e+03 6.66e-16 1.22e+01 0s 2 3.31565771e+02 -1.88004462e+03 3.92e+02 1.72e-14 1.51e+00 0s 3 1.85045935e+02 -5.52243917e+02 3.13e+01 2.33e-15 3.11e-01 0s 4 1.25946306e+02 -2.22438909e+02 2.21e+00 8.88e-16 1.32e-01 0s 5 1.06785431e+02 -5.69345286e+01 8.93e-01 4.44e-16 6.14e-02 0s 6 9.55802895e+01 8.72490898e+00 3.65e-01 2.43e-16 3.25e-02 0s 7 9.10110372e+01 5.12735670e+01 6.60e-02 2.22e-16 1.48e-02 0s 8 8.84929470e+01 7.53647865e+01 2.06e-02 2.22e-16 4.89e-03 0s 9 8.73749759e+01 8.15561931e+01 6.59e-03 2.22e-16 2.17e-03 0s 10 8.67326361e+01 8.44409171e+01 8.26e-04 2.22e-16 8.53e-04 0s 11 8.65441675e+01 8.61616988e+01 1.33e-04 2.22e-16 1.42e-04 0s 12 8.65005043e+01 8.64000947e+01 5.49e-05 2.22e-16 3.74e-05 0s 13 8.64688275e+01 8.64626776e+01 2.68e-06 2.29e-16 2.29e-06 0s 14 8.64666674e+01 8.64666651e+01 6.42e-10 3.33e-16 8.81e-10 0s 15 8.64666667e+01 8.64666667e+01 4.69e-13 3.33e-16 8.91e-16 0s Barrier solved model in 15 iterations and 0.01 seconds Optimal objective 8.64666667e+01 Root relaxation: objective 8.646667e+01, 219 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 86.46667 0 37 157.00000 86.46667 44.9% - 0s H 0 0 89.0000000 86.46667 2.85% - 0s H 0 0 88.0000000 86.46667 1.74% - 0s H 0 0 87.0000000 86.46667 0.61% - 0s Explored 0 nodes (403 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: 0.11 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, 55] 3 x [32, 54] 3 x [33, 53] 2 x [2, 4, 53] 1 x [34, 52] 2 x [2, 5, 52] 2 x [36, 51] 2 x [37, 50] 2 x [38, 49] 1 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 [2, 12, 45] 1 x [1, 14, 44] 1 x [4, 11, 44] 1 x [8, 8, 44] 2 x [43, 43] 1 x [10, 10, 39] 1 x [8, 16, 36] 1 x [11, 12, 36] 1 x [9, 35] 1 x [9, 17, 33] 1 x [13, 14, 32] 2 x [2, 26, 31] 1 x [15, 15, 29] 1 x [7, 24, 28] 1 x [6, 26, 27] 1 x [10, 24, 24] 1 x [3, 6, 7, 17] 1 x [1, 6, 10, 11]