Build (method = -2) #dp: 2983 Step-3' Graph: 87 vertices and 1365 arcs (0.01s) Step-4' Graph: 80 vertices and 1351 arcs (0.01s) #V4/#V3 = 0.92 #A4/#A3 = 0.99 Ready! (0.01s) Optimize a model with 146 rows, 1352 columns and 3902 nonzeros Presolve removed 29 rows and 41 columns Presolve time: 0.03s Presolved: 117 rows, 1311 columns, 3728 nonzeros Variable types: 0 continuous, 1311 integer (347 binary) Found heuristic solution: objective 164.0000000 Found heuristic solution: objective 150.0000000 Optimize a model with 117 rows, 1311 columns and 3728 nonzeros Presolved: 117 rows, 1311 columns, 3728 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.959e+03 Factor NZ : 3.773e+03 Factor Ops : 1.667e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.40229953e+03 -1.11534264e+04 3.17e+04 1.93e-01 7.37e+01 0s 1 1.94425732e+03 -3.83466714e+03 5.97e+03 5.55e-16 1.42e+01 0s 2 3.32220886e+02 -1.75460129e+03 3.68e+02 1.78e-15 1.45e+00 0s 3 1.76790103e+02 -4.11437752e+02 3.50e+01 5.55e-16 2.63e-01 0s 4 1.25460350e+02 -9.57714925e+01 4.26e+00 3.89e-16 8.69e-02 0s 5 1.02935933e+02 -3.33844613e+01 1.53e+00 5.55e-16 5.24e-02 0s 6 9.50069276e+01 3.85473758e+01 6.42e-01 4.44e-16 2.15e-02 0s 7 9.04544672e+01 6.09287306e+01 1.40e-01 3.56e-16 1.12e-02 0s 8 8.84059175e+01 7.64949630e+01 2.06e-02 3.36e-16 4.49e-03 0s 9 8.73611662e+01 8.14715881e+01 4.39e-03 3.72e-16 2.22e-03 0s 10 8.68478672e+01 8.52616644e+01 3.03e-04 3.30e-16 5.98e-04 0s 11 8.66736756e+01 8.63050262e+01 2.33e-05 3.33e-16 1.39e-04 0s 12 8.66264826e+01 8.65584492e+01 2.13e-06 3.33e-16 2.56e-05 0s 13 8.66177338e+01 8.66125692e+01 1.23e-07 3.33e-16 1.95e-06 0s 14 8.66161622e+01 8.66161602e+01 4.27e-11 3.17e-16 7.50e-10 0s 15 8.66161616e+01 8.66161616e+01 3.66e-13 4.14e-16 8.05e-16 0s Barrier solved model in 15 iterations and 0.01 seconds Optimal objective 8.66161616e+01 Root relaxation: objective 8.661616e+01, 92 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 86.61616 0 49 150.00000 86.61616 42.3% - 0s H 0 0 89.0000000 86.61616 2.68% - 0s H 0 0 87.0000000 86.61616 0.44% - 0s Explored 0 nodes (146 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: 0.02 seconds Gurobi run time: 0.08 seconds Total run time: 0.10 seconds Objective: 87 Solution: 1 x [19, 66] 5 x [17, 66] 1 x [20, 65] 2 x [21, 64] 1 x [19, 64] 1 x [22, 63] 2 x [23, 62] 2 x [22, 62] 3 x [24, 61] 5 x [25, 60] 1 x [25, 59] 2 x [26, 58] 2 x [24, 58] 3 x [27, 57] 3 x [28, 56] 1 x [27, 56] 1 x [30, 55] 2 x [31, 54] 2 x [32, 53] 1 x [31, 53] 1 x [2, 2, 53] 3 x [33, 52] 1 x [35, 51] 1 x [34, 51] 3 x [36, 50] 1 x [3, 5, 50] 1 x [37, 49] 2 x [3, 6, 49] 2 x [38, 48] 1 x [39, 47] 3 x [4, 7, 47] 1 x [3, 7, 47] 3 x [40, 46] 2 x [1, 11, 46] 1 x [6, 6, 46] 1 x [41, 45] 1 x [42, 44] 1 x [2, 12, 43] 1 x [3, 43] 2 x [43, 43] 1 x [1, 15, 42] 3 x [2, 14, 41] 1 x [11, 12, 33] 1 x [9, 16, 31] 1 x [10, 15, 31] 1 x [12, 15, 29] 1 x [13, 14, 29] 1 x [16, 17, 23] 1 x [8, 19, 21] 1 x [16, 16, 20] 1 x [17, 20, 20] 1 x [16, 17, 18]