Build (method = -2) #dp: 105515 Step-3' Graph: 7902 vertices and 23699 arcs (1.10s) Step-4' Graph: 6147 vertices and 20189 arcs (1.14s) #V4/#V3 = 0.78 #A4/#A3 = 0.85 Ready! (1.14s) Optimize a model with 6182 rows, 20190 columns and 48280 nonzeros Presolve removed 321 rows and 568 columns Presolve time: 0.26s Presolved: 5861 rows, 19622 columns, 48059 nonzeros Variable types: 0 continuous, 19622 integer (958 binary) Optimize a model with 5861 rows, 19622 columns and 48059 nonzeros Presolve removed 3 rows and 3 columns Presolved: 5858 rows, 19619 columns, 48059 nonzeros Root barrier log... Ordering time: 0.15s Barrier statistics: AA' NZ : 3.444e+04 Factor NZ : 1.087e+06 (roughly 20 MBytes of memory) Factor Ops : 5.834e+08 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.08140183e+04 -1.02793615e+06 3.52e+06 2.86e-02 5.86e+02 0s 1 1.72752582e+03 -7.70485984e+05 3.48e+05 8.87e-02 7.24e+01 1s 2 7.03385828e+02 -2.87777931e+05 6.65e+04 1.67e-02 1.55e+01 1s 3 5.04756153e+02 -9.33793936e+04 3.07e+04 3.95e-03 5.92e+00 1s 4 2.82728694e+02 -1.68820309e+04 5.23e+03 2.66e-14 1.04e+00 1s 5 2.22562725e+02 -3.04171300e+03 7.03e+02 1.33e-14 1.58e-01 1s 6 2.06733998e+02 -1.40991965e+03 1.84e+02 9.77e-15 5.77e-02 2s 7 1.96013493e+02 -4.84572466e+02 2.51e+01 2.29e-15 1.88e-02 2s 8 1.81573234e+02 -3.00284117e+02 4.64e+00 2.00e-15 1.25e-02 2s 9 1.61384671e+02 -2.26043641e+02 3.54e+00 2.35e-15 1.00e-02 2s 10 1.34985666e+02 -1.43433305e+02 2.19e+00 2.35e-15 7.16e-03 2s 11 1.24710155e+02 -1.36940644e+02 1.88e+00 2.43e-15 6.72e-03 2s 12 1.11815447e+02 -9.91682014e+01 1.56e+00 2.43e-15 5.42e-03 3s 13 9.36588339e+01 -7.43573819e+01 1.21e+00 2.42e-15 4.31e-03 3s 14 8.92907523e+01 -6.43290230e+01 1.14e+00 2.62e-15 3.94e-03 3s 15 6.86202962e+01 -4.21474524e+01 7.54e-01 2.23e-15 2.84e-03 3s 16 5.86921344e+01 -1.83709421e+01 5.00e-01 2.09e-15 1.97e-03 3s 17 5.59254345e+01 -5.15063261e+00 4.05e-01 2.13e-15 1.56e-03 4s 18 5.05278817e+01 2.32570355e+01 1.58e-01 1.55e-15 6.97e-04 4s 19 4.90666436e+01 3.31429711e+01 1.23e-01 1.64e-15 4.07e-04 4s 20 4.66818352e+01 3.60666339e+01 7.10e-02 1.96e-15 2.71e-04 4s 21 4.66039342e+01 3.66293075e+01 6.84e-02 1.87e-15 2.55e-04 4s 22 4.61526052e+01 3.92336171e+01 5.77e-02 1.96e-15 1.77e-04 4s 23 4.47742492e+01 4.16924340e+01 2.12e-02 1.37e-15 7.87e-05 5s 24 4.42174000e+01 4.31365526e+01 6.17e-03 1.58e-15 2.76e-05 5s 25 4.40328046e+01 4.36040307e+01 1.64e-03 1.43e-15 1.09e-05 5s 26 4.39784452e+01 4.38478987e+01 4.34e-04 1.78e-15 3.33e-06 5s 27 4.39564842e+01 4.39308041e+01 1.49e-06 1.42e-15 6.54e-07 5s 28 4.39553299e+01 4.39517681e+01 2.05e-09 1.95e-15 9.08e-08 6s 29 4.39550308e+01 4.39548956e+01 1.08e-12 1.58e-15 3.45e-09 6s 30 4.39550000e+01 4.39549999e+01 1.57e-12 1.72e-15 3.45e-12 6s Barrier solved model in 30 iterations and 6.02 seconds Optimal objective 4.39550000e+01 Root crossover log... 851 DPushes remaining with DInf 0.0000000e+00 6s 0 DPushes remaining with DInf 5.7578169e+00 6s 6329 PPushes remaining with PInf 0.0000000e+00 6s 0 PPushes remaining with PInf 0.0000000e+00 7s Push phase complete: Pinf 0.0000000e+00, Dinf 5.7578169e+00 7s Root simplex log... Iteration Objective Primal Inf. Dual Inf. Time 7182 4.3955000e+01 0.000000e+00 0.000000e+00 7s 7182 4.3955000e+01 0.000000e+00 0.000000e+00 7s Root relaxation: objective 4.395500e+01, 7182 iterations, 6.57 seconds Total elapsed time = 10.47s Total elapsed time = 17.49s Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 43.95500 0 267 - 43.95500 - - 22s H 0 0 105.0000000 43.95500 58.1% - 23s H 0 0 45.0000000 43.95500 2.32% - 23s H 0 0 44.0000000 43.95500 0.10% - 24s Explored 0 nodes (33412 simplex iterations) in 24.50 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 4.400000000000e+01, best bound 4.400000000000e+01, gap 0.0% Preprocessing time: 1.24 seconds Gurobi run time: 24.50 seconds Total run time: 25.74 seconds Objective: 44 Solution: 2 x [1, 2, 12, 14, 18, 23, 24, 28] 1 x [1, 4, 8, 12, 14, 23, 26, 35] 1 x [1, 5, 12, 16, 18, 21, 24, 33, 34] 1 x [2, 3, 8, 12, 14, 24, 26, 35] 1 x [2, 4, 10, 11, 12, 21, 33, 34] 5 x [2, 8, 12, 14, 15, 24, 30, 31, 33, 34] 2 x [2, 12, 14, 16, 21, 23, 24, 28, 29, 31, 35] 2 x [2, 12, 14, 16, 21, 23, 26, 27, 28, 32, 34] 1 x [2, 12, 14, 16, 21, 23, 26, 29, 30, 32, 34, 35] 3 x [3, 5, 9, 11, 12, 24, 26, 35] 1 x [3, 5, 17, 19, 21, 23, 24, 29, 30, 32, 34] 3 x [3, 7, 10, 14, 18, 21, 24, 30, 35] 1 x [4, 5, 16, 18, 22, 24, 25, 26, 28, 32, 34] 1 x [4, 7, 12, 13, 14, 24, 30, 31, 33, 34] 1 x [4, 8, 9, 10, 11, 12] 1 x [5, 6, 7, 9, 10, 21, 31, 35] 1 x [5, 6, 8, 9, 10, 26, 28, 32] 1 x [5, 6, 8, 9, 10, 30, 32, 34, 35] 2 x [5, 6, 9, 10, 11, 21, 26] 1 x [5, 6, 9, 11, 18, 23, 24, 28] 3 x [5, 8, 9, 12, 15, 21, 26, 32] 1 x [6, 7, 8, 10, 11, 28, 29, 32, 34, 35] 2 x [6, 7, 10, 11, 15, 21, 26, 32] 1 x [6, 9, 10, 12, 14, 24, 29, 30, 32, 35] 1 x [6, 10, 19, 21, 22, 24, 26, 27, 28, 29, 30, 33, 34] 1 x [6, 14, 17, 18, 19, 20, 24, 26, 27, 32] 2 x [10, 11, 14, 15, 16, 18, 21, 26] 1 x [12, 16, 17, 19, 20, 21, 22, 23, 24, 28]