Build (method = -2) #dp: 62524 Step-3' Graph: 370 vertices and 4950 arcs (0.33s) Step-4' Graph: 184 vertices and 4578 arcs (0.33s) #V4/#V3 = 0.50 #A4/#A3 = 0.92 Ready! (0.33s) Optimize a model with 369 rows, 4579 columns and 13373 nonzeros Presolve removed 85 rows and 89 columns Presolve time: 0.09s Presolved: 284 rows, 4490 columns, 13154 nonzeros Variable types: 0 continuous, 4490 integer (4022 binary) Found heuristic solution: objective 188.0000000 Optimize a model with 284 rows, 4490 columns and 13154 nonzeros Presolved: 284 rows, 4490 columns, 13154 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 8.598e+03 Factor NZ : 1.867e+04 (roughly 2 MBytes of memory) Factor Ops : 1.703e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.76703415e+04 -6.14619926e+04 4.86e+04 2.76e-01 4.94e+01 0s 1 3.25205568e+03 -8.64427637e+03 7.86e+03 1.33e-15 7.61e+00 0s 2 5.34835273e+02 -1.54328116e+03 8.30e+02 3.11e-15 8.82e-01 0s 3 1.81326493e+02 -3.36081681e+02 4.67e+01 2.44e-15 9.18e-02 0s 4 1.10997448e+02 -9.71136266e+01 4.20e+00 2.00e-15 2.57e-02 0s 5 1.03424067e+02 1.41172151e+01 2.21e+00 1.55e-15 1.07e-02 0s 6 9.58937528e+01 5.63007967e+01 1.18e+00 2.22e-15 4.65e-03 0s 7 9.33908991e+01 6.51927635e+01 9.17e-01 1.56e-15 3.30e-03 0s 8 9.08510258e+01 7.59789606e+01 7.00e-01 1.98e-15 1.77e-03 0s 9 8.58904290e+01 8.06011478e+01 2.32e-01 1.33e-15 6.20e-04 0s 10 8.40163538e+01 8.18135047e+01 4.59e-02 1.78e-15 2.50e-04 0s 11 8.36107787e+01 8.22956800e+01 2.45e-02 2.44e-15 1.49e-04 0s 12 8.33804864e+01 8.26263252e+01 1.33e-02 1.69e-15 8.51e-05 0s 13 8.32416024e+01 8.27418718e+01 7.40e-03 1.91e-15 5.63e-05 0s 14 8.30826946e+01 8.28647350e+01 1.61e-03 1.58e-15 2.44e-05 0s 15 8.30467056e+01 8.29352114e+01 7.64e-04 1.60e-15 1.25e-05 0s 16 8.30132850e+01 8.29759954e+01 1.54e-04 1.44e-15 4.16e-06 0s 17 8.30024953e+01 8.29953599e+01 2.77e-05 1.23e-15 7.96e-07 0s 18 8.30005677e+01 8.29968490e+01 1.02e-05 2.22e-15 4.15e-07 0s 19 8.30001472e+01 8.29990407e+01 3.12e-06 1.44e-15 1.24e-07 0s 20 8.30000403e+01 8.29999888e+01 5.25e-07 3.11e-15 5.88e-09 0s 21 8.30000001e+01 8.30000000e+01 2.31e-09 1.22e-15 7.37e-12 0s 22 8.30000000e+01 8.30000000e+01 5.48e-12 2.00e-15 7.37e-15 0s Barrier solved model in 22 iterations and 0.09 seconds Optimal objective 8.30000000e+01 Root relaxation: objective 8.300000e+01, 2620 iterations, 0.13 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83.00000 0 78 188.00000 83.00000 55.9% - 0s H 0 0 86.0000000 83.00000 3.49% - 0s H 0 0 84.0000000 83.00000 1.19% - 0s 0 0 83.00000 0 104 84.00000 83.00000 1.19% - 0s 0 0 83.00000 0 86 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 119 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 100 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 98 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 128 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 88 84.00000 83.00000 1.19% - 1s 0 2 83.00000 0 75 84.00000 83.00000 1.19% - 1s Cutting planes: Zero half: 16 Explored 3 nodes (10671 simplex iterations) in 1.87 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.400000000000e+01, best bound 8.400000000000e+01, gap 0.0% Preprocessing time: 0.36 seconds Gurobi run time: 1.87 seconds Total run time: 2.23 seconds Objective: 84 Solution: 1 x [88, 124] 1 x [87, 124] 1 x [63, 91] 1 x [92, 119] 1 x [47, 94] 1 x [6, 47, 85] 1 x [101, 114] 1 x [109, 110] 1 x [107, 112] 1 x [106, 111] 1 x [103, 113] 1 x [8, 70, 102] 1 x [45, 65, 100] 1 x [60, 131] 1 x [98, 116] 1 x [96, 117] 1 x [95, 118] 1 x [11, 95, 99] 1 x [51, 66, 93] 1 x [90, 123] 1 x [84, 126] 1 x [36, 52, 82] 1 x [80, 129] 1 x [79, 130] 1 x [7, 78, 125] 1 x [29, 132] 1 x [75, 134] 1 x [74, 135] 1 x [59, 72, 81] 1 x [62, 71, 77] 1 x [18, 69, 122] 1 x [53, 68, 89] 1 x [67, 137] 1 x [64, 67, 76] 1 x [23, 121, 155] 1 x [128, 142] 1 x [58, 76, 128] 1 x [56, 144] 1 x [55, 145] 1 x [54, 146] 1 x [104, 147] 1 x [50, 149] 1 x [1, 83, 148] 1 x [48, 57, 86] 1 x [15, 46, 138] 1 x [44, 145] 1 x [35, 43, 133] 1 x [42, 76, 97] 1 x [16, 20, 143] 1 x [40, 49, 120] 1 x [39, 152] 1 x [38, 151] 1 x [37, 73, 108] 1 x [30, 139, 165] 1 x [33, 154] 1 x [32, 153] 1 x [31, 154] 1 x [34, 140, 150] 1 x [28, 156] 1 x [28, 61, 125] 1 x [26, 158] 1 x [24, 159] 1 x [136, 162] 1 x [22, 161] 1 x [127, 163] 1 x [19, 164] 1 x [41, 115, 141] 1 x [5, 105, 160] 1 x [14, 166] 1 x [10, 13, 157] 1 x [12, 167] 1 x [9, 169] 1 x [4, 174] 1 x [3, 175] 1 x [2, 141] 1 x [181, 185] 1 x [183, 184] 1 x [182, 184] 1 x [178, 180] 1 x [17, 179] 1 x [25, 168, 177] 1 x [21, 171, 176] 1 x [23, 172, 173] 1 x [27, 170, 171]