Build (method = -2) #dp: 144196 Step-3' Graph: 3232 vertices and 16350 arcs (2.63s) Step-4' Graph: 1059 vertices and 12004 arcs (2.65s) #V4/#V3 = 0.33 #A4/#A3 = 0.73 Ready! (2.65s) Optimize a model with 1309 rows, 12005 columns and 33901 nonzeros Presolve removed 171 rows and 171 columns Presolve time: 0.11s Presolved: 1138 rows, 11834 columns, 33833 nonzeros Variable types: 0 continuous, 11834 integer (10068 binary) Found heuristic solution: objective 159.0000000 Optimize a model with 1138 rows, 11834 columns and 33833 nonzeros Presolved: 1138 rows, 11834 columns, 33833 nonzeros Root barrier log... Ordering time: 0.02s Barrier statistics: AA' NZ : 1.992e+04 Factor NZ : 7.375e+04 (roughly 6 MBytes of memory) Factor Ops : 9.435e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.32376546e+03 -5.22212203e+04 7.77e+04 2.80e-01 1.47e+01 0s 1 3.01316410e+03 -1.49844378e+04 1.59e+04 4.44e-16 3.12e+00 0s 2 6.88251062e+02 -3.34676550e+03 1.74e+03 5.00e-16 4.09e-01 0s 3 2.83882514e+02 -1.02702598e+03 4.39e+02 4.44e-16 1.19e-01 0s 4 1.82741450e+02 -2.20343645e+02 1.59e+02 8.33e-16 3.96e-02 0s 5 1.35996722e+02 -1.54369328e+01 3.45e+01 6.66e-16 1.05e-02 0s 6 1.21688726e+02 3.62857102e+01 9.48e+00 4.50e-16 4.48e-03 0s 7 1.14215838e+02 7.08000620e+01 2.61e+00 4.44e-16 1.99e-03 0s 8 1.08344101e+02 8.74563150e+01 6.10e-01 2.43e-16 9.07e-04 0s 9 1.05773589e+02 9.68558687e+01 2.10e-01 2.59e-16 3.82e-04 0s 10 1.04677213e+02 1.00017045e+02 1.04e-01 2.28e-16 1.99e-04 0s 11 1.04097870e+02 1.01248823e+02 6.24e-02 2.22e-16 1.21e-04 0s 12 1.03588707e+02 1.01887047e+02 3.18e-02 2.22e-16 7.24e-05 0s 13 1.03231414e+02 1.02372928e+02 1.21e-02 2.22e-16 3.64e-05 0s 14 1.03074703e+02 1.02603897e+02 4.95e-03 2.42e-16 2.00e-05 0s 15 1.03001406e+02 1.02762937e+02 2.47e-03 2.57e-16 1.01e-05 0s 16 1.02979945e+02 1.02824662e+02 1.84e-03 2.22e-16 6.58e-06 0s 17 1.02932413e+02 1.02875675e+02 5.10e-04 2.22e-16 2.40e-06 0s 18 1.02914365e+02 1.02896674e+02 7.16e-05 2.37e-16 7.48e-07 0s 19 1.02911179e+02 1.02911095e+02 9.34e-07 2.37e-16 3.58e-09 0s 20 1.02911111e+02 1.02911111e+02 6.31e-13 4.44e-16 3.58e-12 0s Barrier solved model in 20 iterations and 0.28 seconds Optimal objective 1.02911111e+02 Root relaxation: objective 1.029111e+02, 1771 iterations, 0.33 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 102.91111 0 160 159.00000 102.91111 35.3% - 1s H 0 0 105.0000000 102.91111 1.99% - 1s H 0 0 104.0000000 102.91111 1.05% - 1s 0 0 102.91667 0 246 104.00000 102.91667 1.04% - 2s 0 0 102.95000 0 284 104.00000 102.95000 1.01% - 3s 0 0 102.95000 0 352 104.00000 102.95000 1.01% - 3s H 0 0 103.0000000 102.95000 0.05% - 4s Cutting planes: Gomory: 3 Zero half: 1 Explored 0 nodes (5685 simplex iterations) in 4.85 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.030000000000e+02, best bound 1.030000000000e+02, gap 0.0% Preprocessing time: 2.70 seconds Gurobi run time: 4.85 seconds Total run time: 7.55 seconds Objective: 103 Solution: 1 x [31, 106, 150] 1 x [56, 89, 239] 1 x [50, 240] 1 x [59, 194] 1 x [66, 154, 164] 1 x [101, 175] 1 x [87, 105] 1 x [7, 192, 224] 1 x [94, 125] 1 x [67, 158] 1 x [113, 129] 1 x [78, 211] 1 x [28, 232] 1 x [182, 228] 1 x [114, 157] 1 x [132, 143, 233] 1 x [6, 121] 1 x [21, 65] 1 x [29, 53, 124] 1 x [104, 119, 181] 1 x [122, 141] 1 x [155, 195] 1 x [36, 77] 1 x [91, 172] 1 x [3, 103] 1 x [26, 165, 245] 1 x [63, 76, 188] 1 x [35, 48, 244] 1 x [57, 81, 95] 1 x [117, 156] 1 x [85, 123, 190] 1 x [32, 136, 137] 1 x [27, 49] 1 x [9, 99, 134] 1 x [54, 231] 1 x [127, 160, 210] 1 x [22, 208, 218] 1 x [40, 168] 1 x [86, 133, 144] 1 x [90, 111] 1 x [52, 241] 1 x [80, 92] 1 x [72, 140, 177] 1 x [18, 221, 222] 1 x [2, 5, 126] 1 x [44, 61, 206] 1 x [14, 223] 1 x [46, 146] 1 x [4, 235] 1 x [15, 236] 1 x [13, 186] 1 x [45, 148, 207] 1 x [16, 147] 1 x [83, 242] 1 x [43, 100, 145] 1 x [25, 118, 135] 1 x [34, 179, 214] 1 x [84, 219] 1 x [23, 120] 1 x [197, 238, 247] 1 x [213, 220, 230] 1 x [58, 102, 199] 1 x [73, 209, 249] 1 x [12, 229] 1 x [33, 142, 173] 1 x [24, 200] 1 x [139, 159, 185] 1 x [202, 216] 1 x [42, 88, 149] 1 x [184, 198, 250] 1 x [8, 37, 170] 1 x [20, 110, 217] 1 x [70, 75, 130] 1 x [107, 108, 205] 1 x [11, 82, 196] 1 x [30, 174, 178] 1 x [68, 138, 162] 1 x [1, 169] 1 x [19, 163] 1 x [69, 71, 98] 1 x [55, 246] 1 x [97, 191] 1 x [128, 187] 1 x [93, 109] 1 x [17, 183, 226] 1 x [47, 153] 1 x [39, 212] 1 x [38, 112, 151] 1 x [167, 171, 203] 1 x [10, 180] 1 x [74, 189] 1 x [215, 234] 1 x [115, 152] 1 x [201, 225] 1 x [96, 237] 1 x [79, 227] 1 x [41, 131] 1 x [116, 176] 1 x [166, 248] 1 x [51, 193] 1 x [60, 64] 1 x [161, 204] 1 x [62, 243]