Build (method = -2) #dp: 14365 Step-3' Graph: 251 vertices and 5524 arcs (0.08s) Step-4' Graph: 145 vertices and 5312 arcs (0.08s) #V4/#V3 = 0.58 #A4/#A3 = 0.96 Ready! (0.08s) Optimize a model with 284 rows, 5313 columns and 15655 nonzeros Presolve removed 9 rows and 29 columns Presolve time: 0.06s Presolved: 275 rows, 5284 columns, 14739 nonzeros Variable types: 0 continuous, 5284 integer (3395 binary) Found heuristic solution: objective 167.0000000 Optimize a model with 275 rows, 5284 columns and 14739 nonzeros Presolved: 275 rows, 5284 columns, 14739 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 8.194e+03 Factor NZ : 1.598e+04 (roughly 2 MBytes of memory) Factor Ops : 1.373e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.91316309e+03 -5.02401474e+04 8.70e+04 3.13e-01 3.95e+01 0s 1 2.81397329e+03 -7.98225522e+03 1.67e+04 7.77e-16 7.26e+00 0s 2 4.33559872e+02 -2.88786704e+03 1.28e+03 8.88e-16 7.59e-01 0s 3 1.91825294e+02 -5.68244215e+02 1.32e+02 5.00e-16 1.08e-01 0s 4 1.18244374e+02 -1.08015849e+02 3.66e+01 3.75e-16 2.96e-02 0s 5 1.02136584e+02 5.68552887e+00 1.71e+01 3.33e-16 1.18e-02 0s 6 9.36382720e+01 5.31199701e+01 5.81e+00 4.44e-16 4.45e-03 0s 7 8.95980666e+01 7.01251938e+01 2.90e+00 5.07e-16 2.07e-03 0s 8 8.59055361e+01 7.74897535e+01 1.02e+00 3.33e-16 8.65e-04 0s 9 8.43386620e+01 8.09481038e+01 4.41e-01 5.55e-16 3.49e-04 0s 10 8.39147362e+01 8.24744584e+01 2.96e-01 3.33e-16 1.55e-04 0s 11 8.32362415e+01 8.28684940e+01 6.84e-02 3.66e-16 3.90e-05 0s 12 8.30642288e+01 8.29571387e+01 1.75e-02 3.79e-16 1.12e-05 0s 13 8.30198699e+01 8.29901601e+01 4.97e-03 3.49e-16 3.12e-06 0s 14 8.30007685e+01 8.29986686e+01 1.13e-04 3.33e-16 2.05e-07 0s 15 8.30000004e+01 8.29999992e+01 4.96e-08 4.13e-16 1.15e-10 0s 16 8.30000000e+01 8.30000000e+01 1.93e-11 4.79e-16 1.14e-13 0s Barrier solved model in 16 iterations and 0.07 seconds Optimal objective 8.30000000e+01 Root relaxation: objective 8.300000e+01, 1231 iterations, 0.09 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83.00000 0 18 167.00000 83.00000 50.3% - 0s H 0 0 87.0000000 83.00000 4.60% - 0s H 0 0 85.0000000 83.00000 2.35% - 0s H 0 0 84.0000000 83.00000 1.19% - 0s H 0 0 83.0000000 83.00000 0.0% - 0s Explored 0 nodes (2524 simplex iterations) in 0.51 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.300000000000e+01, best bound 8.300000000000e+01, gap 0.0% Preprocessing time: 0.10 seconds Gurobi run time: 0.51 seconds Total run time: 0.61 seconds Objective: 83 Solution: 1 x [3, 3, 139] 2 x [1, 7, 138] 1 x [6, 6, 137] 1 x [6, 8, 136] 1 x [7, 8, 135] 2 x [4, 14, 134] 1 x [1, 19, 133] 1 x [10, 15, 132] 1 x [11, 15, 131] 1 x [10, 22, 130] 1 x [15, 19, 129] 1 x [5, 28, 128] 1 x [2, 33, 127] 1 x [9, 29, 126] 1 x [11, 29, 125] 1 x [20, 21, 125] 1 x [10, 31, 124] 1 x [7, 34, 123] 1 x [5, 36, 122] 1 x [8, 36, 121] 1 x [22, 26, 120] 1 x [21, 28, 119] 1 x [3, 43, 118] 1 x [16, 36, 117] 1 x [20, 34, 116] 1 x [21, 33, 116] 1 x [21, 34, 115] 1 x [19, 36, 114] 1 x [24, 37, 113] 1 x [7, 51, 112] 1 x [18, 43, 112] 1 x [29, 35, 111] 1 x [11, 50, 110] 1 x [30, 38, 109] 1 x [6, 59, 108] 1 x [13, 54, 108] 1 x [20, 51, 107] 2 x [4, 63, 106] 1 x [23, 52, 105] 1 x [1, 66, 104] 1 x [32, 49, 103] 1 x [39, 40, 103] 1 x [35, 48, 102] 1 x [26, 56, 101] 1 x [15, 64, 100] 1 x [25, 58, 100] 1 x [5, 70, 99] 1 x [24, 61, 99] 1 x [32, 56, 98] 1 x [11, 69, 97] 1 x [19, 65, 96] 1 x [27, 61, 96] 1 x [14, 69, 95] 1 x [41, 51, 95] 1 x [5, 74, 94] 1 x [29, 61, 94] 1 x [33, 59, 94] 1 x [14, 71, 93] 1 x [45, 51, 93] 1 x [44, 53, 92] 1 x [17, 72, 91] 1 x [1, 82, 90] 1 x [3, 81, 89] 1 x [1, 85, 88] 1 x [12, 77, 88] 1 x [9, 81, 87] 1 x [8, 83, 86] 1 x [23, 73, 86] 2 x [29, 68, 86] 1 x [10, 82, 85] 1 x [16, 77, 85] 1 x [21, 74, 85] 1 x [32, 67, 84] 1 x [42, 64, 80] 1 x [46, 62, 79] 1 x [28, 75, 78] 1 x [55, 57, 76] 1 x [47, 65, 75] 1 x [59, 60, 71]