Build (method = -2) #dp: 23500 Step-3' Graph: 730 vertices and 15357 arcs (0.16s) Step-4' Graph: 717 vertices and 15331 arcs (0.18s) #V4/#V3 = 0.98 #A4/#A3 = 1.00 Ready! (0.18s) Optimize a model with 764 rows, 15332 columns and 44566 nonzeros Presolve removed 29 rows and 31 columns Presolve time: 0.77s Presolved: 735 rows, 15301 columns, 44591 nonzeros Variable types: 0 continuous, 15301 integer (12745 binary) Optimize a model with 735 rows, 15301 columns and 44591 nonzeros Presolved: 735 rows, 15301 columns, 44591 nonzeros Root barrier log... Ordering time: 0.03s Barrier statistics: AA' NZ : 3.003e+04 Factor NZ : 1.210e+05 (roughly 7 MBytes of memory) Factor Ops : 2.941e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.62299619e+03 -3.30082343e+04 5.82e+04 1.24e-01 1.35e+01 0s 1 1.41948051e+03 -1.57230807e+04 7.78e+03 5.99e-02 2.15e+00 0s 2 3.78268819e+02 -8.08919293e+03 1.56e+03 2.77e-02 5.93e-01 0s 3 1.39838287e+02 -1.64590025e+03 2.55e+02 8.31e-03 1.15e-01 0s 4 6.90163963e+01 -2.60103939e+02 4.17e+01 1.04e-03 1.96e-02 0s 5 3.18315252e+01 -1.09852704e+02 1.22e+01 3.58e-04 7.05e-03 0s 6 2.20342902e+01 -5.56231153e+01 6.72e+00 1.15e-04 3.67e-03 0s 7 1.31050911e+01 -2.60559963e+01 2.56e+00 4.44e-16 1.64e-03 0s 8 9.89096823e+00 -1.04411541e+01 1.08e+00 4.44e-16 7.72e-04 0s 9 8.95730983e+00 -1.47015185e+00 6.95e-01 4.14e-16 3.82e-04 0s 10 8.27849864e+00 1.45092715e+00 4.40e-01 3.25e-16 2.43e-04 0s 11 7.84509480e+00 2.41224102e+00 2.47e-01 3.93e-16 1.87e-04 0s 12 7.70988130e+00 4.23812923e+00 1.96e-01 3.46e-16 1.19e-04 0s 13 7.79738725e+00 5.35272056e+00 1.15e-01 3.30e-16 8.23e-05 0s 14 7.46689905e+00 6.32779821e+00 3.75e-02 3.31e-16 3.78e-05 0s 15 7.37451648e+00 6.78336569e+00 1.61e-02 3.05e-16 1.95e-05 1s 16 7.35876768e+00 7.01016300e+00 1.26e-02 3.19e-16 1.15e-05 1s 17 7.32277679e+00 7.15305854e+00 5.41e-03 3.22e-16 5.59e-06 1s 18 7.30384568e+00 7.22704532e+00 2.56e-03 2.67e-16 2.53e-06 1s 19 7.29427544e+00 7.25914013e+00 1.26e-03 2.51e-16 1.16e-06 1s 20 7.28715629e+00 7.28113990e+00 2.69e-04 3.03e-16 1.99e-07 1s 21 7.28500367e+00 7.28497882e+00 6.00e-15 3.33e-16 8.13e-10 1s 22 7.28500000e+00 7.28499998e+00 2.09e-14 3.71e-16 8.13e-13 1s Barrier solved model in 22 iterations and 0.72 seconds Optimal objective 7.28500000e+00 Root relaxation: objective 7.285000e+00, 11077 iterations, 1.11 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 7.28500 0 96 - 7.28500 - - 3s H 0 0 8.0000000 7.28500 8.94% - 3s Explored 0 nodes (18384 simplex iterations) in 3.98 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.000000000000e+00, best bound 8.000000000000e+00, gap 0.0% Preprocessing time: 0.24 seconds Gurobi run time: 3.98 seconds Total run time: 4.21 seconds Objective: 8 Solution: 1 x [3, 8, 13, 17, 42, 45] 1 x [25, 31, 36, 40, 40] 1 x [1, 11, 33, 35, 38, 39] 1 x [14, 19, 20, 46, 47] 1 x [2, 23, 24, 28, 30, 41, 43] 1 x [5, 15, 26, 34, 37, 44] 1 x [4, 6, 10, 18, 22, 29, 33] 1 x [5, 7, 9, 12, 16, 21, 27, 32]