Build (method = -2) #dp: 57668 Step-3' Graph: 347 vertices and 3709 arcs (0.29s) Step-4' Graph: 166 vertices and 3347 arcs (0.29s) #V4/#V3 = 0.48 #A4/#A3 = 0.90 Ready! (0.29s) Optimize a model with 327 rows, 3348 columns and 9716 nonzeros Presolve removed 67 rows and 68 columns Presolve time: 0.06s Presolved: 260 rows, 3280 columns, 9546 nonzeros Variable types: 0 continuous, 3280 integer (2850 binary) Found heuristic solution: objective 126.0000000 Optimize a model with 260 rows, 3280 columns and 9546 nonzeros Presolved: 260 rows, 3280 columns, 9546 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.486e+03 Factor NZ : 1.557e+04 (roughly 2 MBytes of memory) Factor Ops : 1.446e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.55366463e+04 -4.63687555e+04 4.63e+04 2.20e-01 5.07e+01 0s 1 3.05614621e+03 -4.29076325e+03 7.60e+03 8.88e-16 7.60e+00 0s 2 3.99916371e+02 -9.49048883e+02 6.19e+02 4.44e-16 7.17e-01 0s 3 1.36526915e+02 -1.51442851e+02 3.05e+01 4.44e-16 6.62e-02 0s 4 9.18300447e+01 -2.21329808e+01 3.88e+00 3.05e-16 1.95e-02 0s 5 8.07607523e+01 2.72734028e+01 1.64e+00 4.44e-16 8.65e-03 0s 6 7.60693565e+01 4.72439567e+01 8.98e-01 2.50e-16 4.57e-03 0s 7 7.23337982e+01 5.85018215e+01 4.79e-01 2.91e-16 2.18e-03 0s 8 6.81636785e+01 6.34484553e+01 6.87e-02 2.44e-16 7.25e-04 0s 9 6.74304246e+01 6.55945049e+01 1.25e-02 3.33e-16 2.80e-04 0s 10 6.72008531e+01 6.64167573e+01 3.33e-03 4.44e-16 1.19e-04 0s 11 6.71078660e+01 6.67311355e+01 1.34e-03 4.44e-16 5.74e-05 0s 12 6.70795914e+01 6.68706882e+01 8.36e-04 4.44e-16 3.18e-05 0s 13 6.70458798e+01 6.69096978e+01 3.42e-04 3.33e-16 2.07e-05 0s 14 6.70191738e+01 6.69390065e+01 7.73e-05 4.44e-16 1.22e-05 0s 15 6.70050808e+01 6.69859084e+01 1.38e-05 4.44e-16 2.92e-06 0s 16 6.70015909e+01 6.69961132e+01 4.39e-06 3.33e-16 8.34e-07 0s 17 6.70002101e+01 6.69983540e+01 1.08e-06 3.33e-16 2.82e-07 0s 18 6.69998252e+01 6.69990893e+01 3.16e-07 2.79e-16 1.12e-07 0s 19 6.69997099e+01 6.69994412e+01 1.11e-07 4.44e-16 4.09e-08 0s 20 6.69996683e+01 6.69995488e+01 4.07e-08 4.44e-16 1.82e-08 0s 21 6.69996559e+01 6.69995914e+01 2.36e-08 4.44e-16 9.82e-09 0s 22 6.69996412e+01 6.69996366e+01 2.59e-09 3.33e-16 7.00e-10 0s 23 6.69996373e+01 6.69996373e+01 4.12e-10 5.55e-16 1.00e-12 0s Barrier solved model in 23 iterations and 0.07 seconds Optimal objective 6.69996373e+01 Root relaxation: objective 6.699964e+01, 126 iterations, 0.07 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 66.99964 0 139 126.00000 66.99964 46.8% - 0s H 0 0 70.0000000 66.99964 4.29% - 0s H 0 0 68.0000000 66.99964 1.47% - 0s 0 0 67.00000 0 94 68.00000 67.00000 1.47% - 0s * 0 0 0 67.0000000 67.00000 0.0% - 0s Explored 0 nodes (709 simplex iterations) in 0.46 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.700000000000e+01, best bound 6.700000000000e+01, gap 0.0% Preprocessing time: 0.31 seconds Gurobi run time: 0.46 seconds Total run time: 0.77 seconds Objective: 67 Solution: 1 x [60, 85, 91] 1 x [42, 98, 109] 1 x [57, 87, 92] 1 x [68, 79, 86] 1 x [59, 83, 94] 1 x [1, 121, 160] 1 x [63, 78, 95] 1 x [77, 122] 1 x [43, 76, 103] 1 x [16, 72, 115] 1 x [70, 81, 81] 1 x [16, 69, 118] 1 x [35, 67, 108] 1 x [66, 71, 96] 1 x [65, 75, 93] 1 x [65, 80, 89] 1 x [29, 64, 111] 1 x [11, 62, 123] 1 x [30, 104, 113] 1 x [58, 128] 1 x [38, 101, 110] 1 x [35, 56, 113] 1 x [51, 55, 107] 1 x [55, 73, 99] 1 x [54, 61, 105] 1 x [52, 129] 1 x [50, 130] 1 x [33, 50, 117] 1 x [35, 50, 116] 1 x [49, 88, 97] 1 x [53, 90, 97] 1 x [45, 133] 1 x [44, 134] 1 x [27, 41, 124] 1 x [36, 40, 119] 1 x [37, 47, 120] 1 x [47, 82, 102] 1 x [20, 127, 161] 1 x [48, 114, 161] 1 x [34, 74, 106] 1 x [32, 137] 1 x [138, 145] 1 x [28, 139] 1 x [140, 144] 1 x [25, 141] 1 x [24, 43, 125] 1 x [21, 142] 1 x [18, 19, 135] 1 x [46, 112, 126] 1 x [17, 146] 1 x [12, 100, 140] 1 x [15, 26, 136] 1 x [84, 148] 1 x [10, 150] 1 x [9, 149] 1 x [8, 31, 136] 1 x [8, 38, 131] 1 x [7, 14, 143] 1 x [6, 22, 138] 1 x [5, 151] 1 x [4, 39, 132] 1 x [3, 153] 1 x [2, 154] 1 x [156, 159] 1 x [157, 158] 1 x [13, 152, 156] 1 x [23, 147, 155]