Build (method = -2) #dp: 245794 Step-3' Graph: 7968 vertices and 29511 arcs (5.40s) Step-4' Graph: 1918 vertices and 17411 arcs (5.45s) #V4/#V3 = 0.24 #A4/#A3 = 0.59 Ready! (5.45s) Optimize a model with 2167 rows, 17412 columns and 48404 nonzeros Presolve removed 202 rows and 202 columns Presolve time: 0.18s Presolved: 1965 rows, 17210 columns, 48406 nonzeros Variable types: 0 continuous, 17210 integer (13910 binary) Found heuristic solution: objective 218.0000000 Optimize a model with 1965 rows, 17210 columns and 48406 nonzeros Presolve removed 1 rows and 1 columns Presolved: 1964 rows, 17209 columns, 48403 nonzeros Root barrier log... Ordering time: 0.03s Barrier statistics: AA' NZ : 2.519e+04 Factor NZ : 1.002e+05 (roughly 9 MBytes of memory) Factor Ops : 1.220e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.80211004e+04 -1.81422598e+05 1.13e+06 3.62e-01 9.27e+01 0s 1 1.24311659e+04 -5.83489270e+04 2.03e+05 6.66e-16 1.73e+01 0s 2 2.82859544e+03 -2.36196799e+04 1.96e+04 8.88e-16 2.13e+00 0s 3 6.60851488e+02 -4.35664851e+03 2.27e+03 8.88e-16 2.90e-01 0s 4 2.72326460e+02 -7.82381639e+02 6.57e+02 6.66e-16 7.47e-02 0s 5 1.74023507e+02 -2.96281879e+02 2.82e+02 4.58e-16 3.28e-02 0s 6 1.16788570e+02 -1.98250752e+02 7.71e+01 3.33e-16 1.42e-02 0s 7 9.99459202e+01 -2.03430658e+00 2.17e+01 5.31e-16 3.93e-03 0s 8 9.23782119e+01 4.08922704e+01 4.71e+00 2.86e-16 1.63e-03 0s 9 8.78380487e+01 6.69149607e+01 1.19e+00 6.66e-16 6.29e-04 0s 10 8.67584074e+01 7.41366605e+01 8.55e-01 4.44e-16 3.79e-04 0s 11 8.49792485e+01 7.77829478e+01 3.44e-01 4.44e-16 2.13e-04 0s 12 8.44836378e+01 8.01177206e+01 2.48e-01 4.44e-16 1.30e-04 0s 13 8.40902285e+01 8.13528031e+01 1.74e-01 4.44e-16 8.14e-05 0s 14 8.36708453e+01 8.19525075e+01 1.03e-01 4.44e-16 5.10e-05 0s 15 8.34227529e+01 8.23915075e+01 6.17e-02 4.44e-16 3.06e-05 0s 16 8.31738129e+01 8.26737272e+01 2.14e-02 3.64e-16 1.48e-05 0s 17 8.31064077e+01 8.28223255e+01 1.23e-02 4.44e-16 8.38e-06 0s 18 8.30743722e+01 8.28945161e+01 8.36e-03 4.44e-16 5.31e-06 0s 19 8.30346596e+01 8.29435316e+01 3.70e-03 3.09e-16 2.69e-06 0s 20 8.30269284e+01 8.29624186e+01 2.82e-03 3.33e-16 1.90e-06 0s 21 8.30023092e+01 8.29961985e+01 1.48e-04 4.70e-16 1.79e-07 0s 22 8.30000168e+01 8.29999830e+01 1.28e-13 3.33e-16 9.82e-10 0s 23 8.30000000e+01 8.30000000e+01 4.41e-13 3.43e-16 9.82e-13 0s Barrier solved model in 23 iterations and 0.46 seconds Optimal objective 8.30000000e+01 Root relaxation: objective 8.300000e+01, 2358 iterations, 0.61 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83.00000 0 221 218.00000 83.00000 61.9% - 2s H 0 0 84.0000000 83.00000 1.19% - 2s * 0 0 0 83.0000000 83.00000 0.0% - 4s Cutting planes: Gomory: 1 Zero half: 22 Explored 0 nodes (12239 simplex iterations) in 4.56 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: 5.52 seconds Gurobi run time: 4.56 seconds Total run time: 10.08 seconds Objective: 83 Solution: 1 x [155, 238, 240] 1 x [7, 68, 176] 1 x [150, 199, 230] 1 x [29, 104, 172] 1 x [232, 233, 234] 1 x [133, 153, 161] 1 x [58, 134, 177] 1 x [55, 101, 120] 1 x [34, 78, 144] 1 x [10, 98, 218] 1 x [81, 184, 207] 1 x [26, 142, 158] 1 x [42, 220, 246] 1 x [108, 206, 208] 1 x [83, 84, 94] 1 x [114, 121, 143] 1 x [57, 146, 157] 1 x [102, 151, 159] 1 x [60, 95, 183] 1 x [107, 187, 201] 1 x [37, 38, 182] 1 x [72, 87, 175] 1 x [141, 171, 186] 1 x [131, 145, 152] 1 x [4, 149, 236] 1 x [3, 11, 127] 1 x [17, 76, 174] 1 x [154, 156, 239] 1 x [49, 179, 231] 1 x [5, 91, 128] 1 x [33, 80, 235] 1 x [27, 71, 160] 1 x [173, 190, 228] 1 x [8, 112, 147] 1 x [13, 188, 216] 1 x [148, 191, 225] 1 x [193, 243, 245] 1 x [15, 66, 69] 1 x [2, 56, 223] 1 x [9, 85, 222] 1 x [43, 74, 92] 1 x [23, 61, 93] 1 x [6, 73, 165] 1 x [35, 214, 237] 1 x [16, 105, 203] 1 x [25, 116, 192] 1 x [46, 115, 122] 1 x [167, 226, 248] 1 x [97, 119, 140] 1 x [53, 130, 189] 1 x [20, 202, 212] 1 x [124, 125, 126] 1 x [18, 50, 229] 1 x [21, 24, 163] 1 x [32, 65, 136] 1 x [40, 111, 224] 1 x [44, 62, 166] 1 x [47, 52, 139] 1 x [70, 77, 135] 1 x [28, 79, 242] 1 x [86, 99, 106] 1 x [89, 180, 247] 1 x [14, 67, 117] 1 x [22, 138, 185] 1 x [59, 96, 100] 1 x [31, 113, 200] 1 x [196, 197, 198] 1 x [51, 103, 227] 1 x [30, 41, 109] 1 x [45, 178, 204] 1 x [168, 211, 219] 1 x [63, 110, 217] 1 x [170, 195, 241] 1 x [1, 64, 137] 1 x [36, 82, 164] 1 x [12, 90, 118] 1 x [54, 129, 162] 1 x [19, 48, 123] 1 x [39, 88, 210] 1 x [215, 221, 244] 1 x [132, 169, 194] 1 x [205, 209, 249] 1 x [75, 181, 213]