Build (method = -2) #dp: 29305 Step-3' Graph: 445 vertices and 16611 arcs (0.18s) Step-4' Graph: 403 vertices and 16527 arcs (0.19s) #V4/#V3 = 0.91 #A4/#A3 = 0.99 Ready! (0.19s) Optimize a model with 555 rows, 16528 columns and 48782 nonzeros Presolve removed 15 rows and 21 columns Presolve time: 0.23s Presolved: 540 rows, 16507 columns, 48282 nonzeros Variable types: 0 continuous, 16507 integer (12006 binary) Found heuristic solution: objective 155.0000000 Optimize a model with 540 rows, 16507 columns and 48282 nonzeros Presolved: 540 rows, 16507 columns, 48282 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 2.708e+04 Factor NZ : 5.919e+04 (roughly 7 MBytes of memory) Factor Ops : 8.981e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.50198475e+04 -1.72816999e+05 1.31e+05 1.40e-01 2.87e+01 0s 1 4.10627072e+03 -3.87470946e+04 2.04e+04 1.67e-15 4.83e+00 0s 2 1.00967810e+03 -8.40676462e+03 2.27e+03 6.33e-15 6.60e-01 0s 3 4.60965454e+02 -3.23819252e+03 2.76e+02 2.19e-05 1.56e-01 0s 4 1.92635971e+02 -5.21925869e+02 3.20e+01 2.19e-15 2.61e-02 0s 5 1.52330387e+02 -3.41084294e+02 1.73e+01 2.76e-15 1.70e-02 0s 6 1.19783871e+02 -2.07483670e+02 9.12e+00 4.08e-15 1.08e-02 0s 7 1.01401089e+02 -1.22130041e+02 6.00e+00 3.47e-15 7.26e-03 0s 8 8.42665723e+01 -3.53657985e+01 2.87e+00 3.06e-15 3.80e-03 0s 9 7.91003640e+01 -6.05553698e-01 1.34e+00 3.39e-15 2.48e-03 0s 10 7.67574134e+01 1.70235124e+01 9.71e-01 4.44e-15 1.85e-03 0s 11 7.51711287e+01 2.65889597e+01 7.63e-01 4.03e-15 1.50e-03 0s 12 7.19860338e+01 4.21652162e+01 4.59e-01 3.37e-15 9.15e-04 0s 13 7.05940919e+01 5.07378215e+01 3.20e-01 3.23e-15 6.08e-04 0s 14 6.86522186e+01 5.83630496e+01 1.27e-01 2.74e-15 3.13e-04 0s 15 6.74796922e+01 6.05563928e+01 5.81e-02 2.70e-15 2.10e-04 0s 16 6.70389947e+01 6.29621375e+01 3.91e-02 3.06e-15 1.24e-04 0s 17 6.67905438e+01 6.35933664e+01 3.05e-02 3.44e-15 9.71e-05 0s 18 6.65610671e+01 6.41527071e+01 2.23e-02 3.20e-15 7.31e-05 0s 19 6.64249646e+01 6.44458122e+01 1.80e-02 3.87e-15 6.01e-05 0s 20 6.62606372e+01 6.49685591e+01 1.28e-02 3.26e-15 3.92e-05 0s 21 6.61896141e+01 6.50807449e+01 1.06e-02 4.10e-15 3.37e-05 0s 22 6.60679082e+01 6.53735096e+01 7.26e-03 3.71e-15 2.11e-05 0s 23 6.59710629e+01 6.55348493e+01 4.40e-03 3.09e-15 1.32e-05 0s 24 6.59298890e+01 6.56262230e+01 3.31e-03 3.22e-15 9.22e-06 0s 25 6.58996861e+01 6.56578400e+01 2.49e-03 3.52e-15 7.34e-06 0s 26 6.58599338e+01 6.56598552e+01 1.57e-03 3.78e-15 6.07e-06 0s 27 6.58598063e+01 6.56835814e+01 1.51e-03 3.96e-15 5.35e-06 0s 28 6.58404931e+01 6.57325102e+01 9.68e-04 3.66e-15 3.28e-06 0s 29 6.58141105e+01 6.57717112e+01 2.02e-04 2.97e-15 1.28e-06 0s 30 6.58118219e+01 6.57858901e+01 1.47e-04 3.22e-15 7.86e-07 0s 31 6.58079073e+01 6.57966756e+01 5.84e-05 2.89e-15 3.40e-07 0s 32 6.58064875e+01 6.58008280e+01 2.89e-05 3.43e-15 1.72e-07 0s 33 6.58052081e+01 6.58047945e+01 3.23e-06 2.89e-15 1.25e-08 0s 34 6.58050002e+01 6.58049998e+01 4.72e-13 3.00e-15 1.26e-11 1s Barrier solved model in 34 iterations and 0.50 seconds Optimal objective 6.58050002e+01 Root relaxation: objective 6.580500e+01, 5464 iterations, 0.65 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 65.80500 0 81 155.00000 65.80500 57.5% - 2s H 0 0 68.0000000 65.80500 3.23% - 3s H 0 0 67.0000000 65.80500 1.78% - 5s 0 0 65.80500 0 163 67.00000 65.80500 1.78% - 6s H 0 0 66.0000000 65.80500 0.30% - 7s Cutting planes: Gomory: 1 Zero half: 1 Explored 0 nodes (12827 simplex iterations) in 7.81 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.600000000000e+01, best bound 6.600000000000e+01, gap 0.0% Preprocessing time: 0.24 seconds Gurobi run time: 7.81 seconds Total run time: 8.05 seconds Objective: 66 Solution: 1 x [15, 62, 152] 1 x [2, 78, 151] 1 x [27, 49, 150] 1 x [10, 70, 149] 1 x [19, 58, 149] 1 x [40, 42, 148] 1 x [23, 61, 147] 1 x [5, 80, 146] 1 x [32, 52, 146] 1 x [24, 60, 145] 1 x [20, 69, 144] 1 x [32, 55, 144] 1 x [6, 81, 143] 1 x [41, 43, 143] 1 x [15, 74, 142] 1 x [26, 64, 142] 1 x [16, 75, 141] 1 x [27, 65, 140] 1 x [4, 91, 139] 1 x [3, 93, 138] 1 x [4, 92, 137] 1 x [29, 68, 136] 1 x [35, 63, 135] 1 x [14, 82, 134] 1 x [13, 84, 133] 1 x [36, 63, 132] 1 x [11, 87, 131] 1 x [34, 67, 130] 1 x [44, 50, 129] 1 x [21, 82, 128] 1 x [43, 53, 127] 1 x [47, 49, 126] 1 x [45, 52, 125] 1 x [2, 108, 124] 1 x [46, 55, 123] 1 x [33, 76, 122] 1 x [44, 61, 121] 1 x [16, 98, 120] 1 x [51, 57, 120] 1 x [41, 71, 119] 1 x [49, 59, 119] 1 x [9, 104, 118] 1 x [1, 12, 22, 118] 1 x [43, 66, 117] 1 x [38, 75, 116] 1 x [15, 102, 115] 1 x [23, 95, 115] 1 x [114, 114] 1 x [49, 65, 113] 1 x [17, 104, 112] 1 x [25, 97, 111] 1 x [49, 69, 110] 1 x [18, 108, 109] 1 x [25, 102, 107] 1 x [30, 99, 106] 1 x [49, 72, 105] 1 x [32, 101, 103] 1 x [39, 94, 100] 1 x [52, 77, 99] 1 x [48, 86, 96] 1 x [54, 79, 95] 1 x [62, 73, 95] 1 x [8, 19, 37, 90] 1 x [56, 85, 89] 1 x [7, 28, 31, 88] 1 x [70, 75, 83]