Build (method = -2) #dp: 95073 Step-3' Graph: 1726 vertices and 13921 arcs (1.20s) Step-4' Graph: 528 vertices and 11525 arcs (1.21s) #V4/#V3 = 0.31 #A4/#A3 = 0.83 Ready! (1.21s) Optimize a model with 777 rows, 11526 columns and 33526 nonzeros Presolve removed 123 rows and 123 columns Presolve time: 0.10s Presolved: 654 rows, 11403 columns, 33669 nonzeros Variable types: 0 continuous, 11403 integer (10647 binary) Found heuristic solution: objective 228.0000000 Optimize a model with 654 rows, 11403 columns and 33669 nonzeros Presolved: 654 rows, 11403 columns, 33669 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 1.663e+04 Factor NZ : 4.316e+04 (roughly 5 MBytes of memory) Factor Ops : 5.164e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.81956487e+04 -1.04718518e+05 3.22e+05 3.41e-01 3.10e+01 0s 1 6.14062191e+03 -1.78770091e+04 7.13e+04 5.55e-16 6.44e+00 0s 2 1.10488958e+03 -2.63714909e+03 8.02e+03 8.88e-16 7.64e-01 0s 3 2.61114454e+02 -3.19885569e+02 8.36e+02 5.55e-16 8.57e-02 0s 4 1.49658701e+02 -4.07062746e+01 2.57e+02 4.02e-16 2.63e-02 0s 5 1.06146971e+02 3.10774940e+01 5.81e+01 4.51e-16 6.88e-03 0s 6 9.22052916e+01 6.60065307e+01 7.90e+00 3.84e-16 1.46e-03 0s 7 8.87777784e+01 7.50568013e+01 3.65e+00 3.38e-16 7.05e-04 0s 8 8.55138168e+01 7.83960430e+01 1.18e+00 2.56e-16 3.39e-04 0s 9 8.40300094e+01 8.14506692e+01 4.22e-01 3.06e-16 1.21e-04 0s 10 8.36157283e+01 8.23925380e+01 2.24e-01 2.52e-16 5.70e-05 0s 11 8.33197573e+01 8.27168749e+01 1.03e-01 4.44e-16 2.79e-05 0s 12 8.31635657e+01 8.28747544e+01 4.89e-02 2.48e-16 1.34e-05 0s 13 8.30797306e+01 8.29476889e+01 2.30e-02 3.45e-16 6.11e-06 0s 14 8.30131519e+01 8.29844328e+01 2.48e-03 2.49e-16 1.29e-06 0s 15 8.30004953e+01 8.29994022e+01 5.62e-05 4.44e-16 4.87e-08 0s 16 8.30000005e+01 8.29999994e+01 1.84e-13 3.49e-16 4.87e-11 0s 17 8.30000000e+01 8.30000000e+01 2.30e-13 4.44e-16 5.72e-17 0s Barrier solved model in 17 iterations and 0.17 seconds Optimal objective 8.30000000e+01 Root relaxation: objective 8.300000e+01, 2427 iterations, 0.25 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83.00000 0 34 228.00000 83.00000 63.6% - 1s H 0 0 84.0000000 83.00000 1.19% - 1s 0 0 83.00000 0 40 84.00000 83.00000 1.19% - 1s 0 0 83.00000 0 104 84.00000 83.00000 1.19% - 2s 0 0 83.00000 0 182 84.00000 83.00000 1.19% - 2s 0 0 83.00000 0 212 84.00000 83.00000 1.19% - 2s 0 0 83.00000 0 214 84.00000 83.00000 1.19% - 2s H 0 0 83.0000000 83.00000 0.0% - 2s Cutting planes: Zero half: 1 Explored 0 nodes (13572 simplex iterations) in 2.72 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: 1.25 seconds Gurobi run time: 2.72 seconds Total run time: 3.97 seconds Objective: 83 Solution: 1 x [58, 119, 120] 1 x [27, 72, 139] 1 x [43, 80, 222] 1 x [14, 79, 224] 1 x [34, 83, 243] 1 x [114, 160, 177] 1 x [218, 226, 228] 1 x [17, 88, 101] 1 x [20, 61, 152] 1 x [47, 124, 167] 1 x [52, 117, 183] 1 x [197, 211, 227] 1 x [191, 205, 212] 1 x [39, 94, 96] 1 x [19, 92, 206] 1 x [4, 135, 219] 1 x [113, 181, 233] 1 x [145, 165, 207] 1 x [107, 134, 166] 1 x [26, 37, 95] 1 x [12, 64, 236] 1 x [22, 23, 24] 1 x [99, 158, 241] 1 x [121, 131, 150] 1 x [33, 129, 234] 1 x [3, 74, 151] 1 x [42, 57, 232] 1 x [55, 128, 169] 1 x [5, 67, 180] 1 x [32, 48, 97] 1 x [66, 225, 238] 1 x [11, 162, 175] 1 x [86, 111, 196] 1 x [6, 70, 246] 1 x [168, 217, 231] 1 x [30, 148, 189] 1 x [15, 123, 247] 1 x [71, 105, 172] 1 x [127, 153, 155] 1 x [193, 194, 195] 1 x [184, 201, 242] 1 x [182, 214, 245] 1 x [46, 62, 221] 1 x [73, 104, 106] 1 x [141, 163, 239] 1 x [25, 35, 110] 1 x [21, 76, 77] 1 x [38, 157, 179] 1 x [40, 146, 173] 1 x [41, 60, 118] 1 x [36, 91, 122] 1 x [78, 82, 93] 1 x [18, 44, 220] 1 x [53, 109, 170] 1 x [90, 112, 209] 1 x [126, 140, 190] 1 x [16, 29, 50] 1 x [2, 213, 223] 1 x [81, 98, 154] 1 x [56, 176, 229] 1 x [1, 65, 248] 1 x [133, 161, 215] 1 x [28, 45, 188] 1 x [63, 142, 144] 1 x [103, 149, 164] 1 x [54, 115, 159] 1 x [49, 230, 240] 1 x [10, 185, 186] 1 x [8, 85, 216] 1 x [137, 192, 199] 1 x [51, 178, 198] 1 x [202, 203, 204] 1 x [59, 187, 249] 1 x [13, 200, 235] 1 x [125, 130, 132] 1 x [84, 100, 102] 1 x [143, 171, 210] 1 x [31, 87, 138] 1 x [156, 174, 208] 1 x [89, 237, 244] 1 x [7, 75, 116] 1 x [9, 68, 136] 1 x [69, 108, 147]