Build (method = -2) #dp: 63001 Step-3' Graph: 354 vertices and 3995 arcs (0.31s) Step-4' Graph: 170 vertices and 3627 arcs (0.31s) #V4/#V3 = 0.48 #A4/#A3 = 0.91 Ready! (0.31s) Optimize a model with 331 rows, 3628 columns and 10548 nonzeros Presolve removed 59 rows and 59 columns Presolve time: 0.06s Presolved: 272 rows, 3569 columns, 10409 nonzeros Variable types: 0 continuous, 3569 integer (3104 binary) Found heuristic solution: objective 154.0000000 Optimize a model with 272 rows, 3569 columns and 10409 nonzeros Presolved: 272 rows, 3569 columns, 10409 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 7.406e+03 Factor NZ : 1.664e+04 (roughly 2 MBytes of memory) Factor Ops : 1.580e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.97075567e+04 -6.06028572e+04 3.49e+04 2.25e-01 6.19e+01 0s 1 4.02451156e+03 -8.25825281e+03 5.96e+03 5.55e-16 1.00e+01 0s 2 6.68485431e+02 -1.52558939e+03 7.40e+02 4.44e-16 1.32e+00 0s 3 1.61173352e+02 -2.97042871e+02 3.62e+01 8.88e-16 1.09e-01 0s 4 9.86033389e+01 -5.28357071e+01 4.07e+00 4.44e-16 2.54e-02 0s 5 8.14414222e+01 1.59570367e+01 1.60e+00 4.44e-16 1.01e-02 0s 6 7.28906710e+01 4.24040304e+01 8.00e-01 2.22e-16 4.54e-03 0s 7 6.89545021e+01 4.76359115e+01 3.26e-01 4.44e-16 3.07e-03 0s 8 6.73329724e+01 5.69480184e+01 2.12e-01 4.44e-16 1.48e-03 0s 9 6.53393029e+01 6.16798873e+01 7.73e-02 2.22e-16 5.17e-04 0s 10 6.44435091e+01 6.32162809e+01 1.83e-02 4.44e-16 1.72e-04 0s 11 6.42995759e+01 6.34915340e+01 1.11e-02 4.44e-16 1.13e-04 0s 12 6.41890527e+01 6.37317274e+01 6.05e-03 2.22e-16 6.41e-05 0s 13 6.41061594e+01 6.38523966e+01 3.01e-03 4.44e-16 3.55e-05 0s 14 6.40499188e+01 6.39114758e+01 1.23e-03 4.44e-16 1.94e-05 0s 15 6.40150678e+01 6.39688720e+01 2.97e-04 4.44e-16 6.46e-06 0s 16 6.40067987e+01 6.39876165e+01 1.60e-04 4.44e-16 2.68e-06 0s 17 6.39974544e+01 6.39938864e+01 1.75e-05 2.22e-16 4.99e-07 0s 18 6.39959999e+01 6.39959795e+01 7.08e-08 4.44e-16 2.85e-09 0s 19 6.39959880e+01 6.39959880e+01 2.77e-13 2.22e-16 6.10e-15 0s Barrier solved model in 19 iterations and 0.07 seconds Optimal objective 6.39959880e+01 Root relaxation: objective 6.399599e+01, 443 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 63.99599 0 95 154.00000 63.99599 58.4% - 0s H 0 0 66.0000000 63.99599 3.04% - 0s H 0 0 65.0000000 63.99599 1.54% - 0s 0 0 64.00000 0 163 65.00000 64.00000 1.54% - 0s 0 0 64.00000 0 99 65.00000 64.00000 1.54% - 1s 0 0 64.00000 0 150 65.00000 64.00000 1.54% - 1s 0 0 64.00000 0 169 65.00000 64.00000 1.54% - 1s 0 0 64.00000 0 181 65.00000 64.00000 1.54% - 1s 0 0 64.00000 0 173 65.00000 64.00000 1.54% - 1s 0 0 64.00000 0 184 65.00000 64.00000 1.54% - 2s 0 2 64.00000 0 184 65.00000 64.00000 1.54% - 2s * 69 5 27 64.0000000 64.00000 0.0% 60.1 3s Cutting planes: Gomory: 1 Clique: 1 Zero half: 1 Explored 70 nodes (10240 simplex iterations) in 3.50 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.400000000000e+01, best bound 6.400000000000e+01, gap 0.0% Preprocessing time: 0.33 seconds Gurobi run time: 3.50 seconds Total run time: 3.83 seconds Objective: 64 Solution: 1 x [44, 52, 88] 1 x [45, 85, 91] 1 x [84, 110] 1 x [43, 83, 92] 1 x [50, 90, 98] 1 x [41, 81, 95] 1 x [46, 80, 94] 1 x [15, 107, 159] 1 x [30, 100, 159] 1 x [76, 114] 1 x [1, 115, 144] 1 x [38, 73, 99] 1 x [73, 74, 78] 1 x [16, 72, 108] 1 x [24, 70, 104] 1 x [69, 71, 82] 1 x [67, 117] 1 x [27, 65, 105] 1 x [62, 63, 93] 1 x [54, 61, 97] 1 x [61, 64, 93] 1 x [59, 122] 1 x [8, 58, 119] 1 x [53, 127] 1 x [11, 53, 120] 1 x [4, 57, 128] 1 x [48, 129] 1 x [47, 131] 1 x [42, 75, 96] 1 x [56, 77, 96] 1 x [39, 40, 114] 1 x [12, 37, 132] 1 x [36, 135] 1 x [35, 49, 111] 1 x [34, 136] 1 x [20, 33, 126] 1 x [9, 29, 134] 1 x [28, 51, 112] 1 x [26, 27, 123] 1 x [22, 86, 101] 1 x [21, 46, 118] 1 x [19, 66, 109] 1 x [18, 23, 133] 1 x [18, 55, 116] 1 x [10, 149] 1 x [7, 25, 137] 1 x [5, 13, 145] 1 x [6, 14, 150] 1 x [3, 153] 1 x [2, 11, 147] 1 x [79, 113, 161] 1 x [155, 160] 1 x [17, 147, 158] 1 x [17, 148, 157] 1 x [60, 124, 157] 1 x [32, 140, 156] 1 x [13, 152, 155] 1 x [31, 141, 154] 1 x [68, 125, 151] 1 x [49, 139, 146] 1 x [102, 105, 143] 1 x [89, 121, 142] 1 x [103, 106, 140] 1 x [87, 130, 138]