Build (method = -2) #dp: 83318 Step-3' Graph: 833 vertices and 20454 arcs (0.63s) Step-4' Graph: 833 vertices and 20454 arcs (0.64s) #V4/#V3 = 1.00 #A4/#A3 = 1.00 Ready! (0.64s) Optimize a model with 869 rows, 20455 columns and 59704 nonzeros Presolve removed 12 rows and 30 columns Presolve time: 0.17s Presolved: 857 rows, 20425 columns, 59659 nonzeros Variable types: 0 continuous, 20425 integer (0 binary) Found heuristic solution: objective 347.0000000 Found heuristic solution: objective 307.0000000 Optimize a model with 857 rows, 20425 columns and 59659 nonzeros Presolved: 857 rows, 20425 columns, 59659 nonzeros Root barrier log... Ordering time: 0.02s Barrier statistics: AA' NZ : 3.874e+04 Factor NZ : 1.772e+05 (roughly 10 MBytes of memory) Factor Ops : 4.904e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.56638894e+04 -7.07405040e+05 4.78e+05 2.22e-16 3.48e+02 0s 1 4.67688010e+03 -4.10420522e+05 9.92e+04 9.99e-16 7.62e+01 0s 2 1.66680142e+03 -2.52752009e+05 2.36e+04 9.33e-15 2.10e+01 0s 3 9.76358245e+02 -1.07660206e+05 6.87e+03 4.44e-15 6.27e+00 0s 4 7.66937352e+02 -4.19472523e+04 2.10e+03 1.51e-14 1.96e+00 0s 5 6.93459996e+02 -1.56844955e+04 3.50e+02 4.35e-14 5.24e-01 0s 6 6.78708029e+02 -8.03892123e+03 1.80e+01 1.47e-14 2.17e-01 0s 7 6.70099069e+02 -4.00905963e+03 5.32e-11 8.44e-15 1.14e-01 0s 8 5.79926318e+02 -3.42880557e+03 4.06e-11 7.33e-15 9.81e-02 0s 9 5.32160060e+02 -3.33272903e+03 3.34e-11 6.44e-15 9.45e-02 0s 10 5.29663916e+02 -2.82677247e+03 3.09e-11 6.11e-15 8.21e-02 0s 11 5.37237818e+02 -2.23582139e+03 2.84e-11 4.66e-15 6.78e-02 0s 12 5.28559303e+02 -1.91712012e+03 2.06e-11 4.22e-15 5.98e-02 1s 13 3.68810856e+02 -1.30656540e+03 6.11e-13 2.55e-15 4.10e-02 1s 14 3.42297049e+02 -7.90609417e+02 9.95e-13 1.66e-15 2.77e-02 1s 15 2.96497174e+02 -6.09577992e+02 5.47e-13 1.92e-15 2.22e-02 1s 16 2.36988098e+02 -3.17890746e+02 7.03e-13 1.23e-15 1.36e-02 1s 17 1.03480029e+02 -1.52766834e+02 4.30e-13 1.07e-15 6.27e-03 1s 18 7.69487672e+01 -6.60228974e+01 5.03e-13 1.06e-15 3.50e-03 1s 19 6.21336257e+01 -2.88289390e+01 3.19e-13 1.29e-15 2.22e-03 1s 20 5.52796543e+01 -1.10632175e+01 2.50e-13 1.30e-15 1.62e-03 1s 21 5.11892951e+01 3.74831856e+00 1.92e-13 1.36e-15 1.16e-03 1s 22 4.78676290e+01 2.04335313e+01 1.64e-13 1.22e-15 6.71e-04 1s 23 4.51998477e+01 2.88279061e+01 1.93e-13 1.12e-15 4.00e-04 1s 24 4.40643568e+01 3.47386877e+01 1.43e-13 1.11e-15 2.28e-04 1s 25 4.35050953e+01 3.79631029e+01 3.67e-13 1.21e-15 1.36e-04 1s 26 4.26951485e+01 4.03597896e+01 2.32e-13 8.04e-16 5.71e-05 1s 27 4.22790649e+01 4.12532536e+01 1.17e-13 8.45e-16 2.51e-05 1s 28 4.22481578e+01 4.15156044e+01 5.15e-14 1.14e-15 1.79e-05 1s 29 4.22028617e+01 4.17014388e+01 6.82e-14 1.03e-15 1.23e-05 1s 30 4.21753339e+01 4.18486300e+01 5.05e-14 1.34e-15 7.99e-06 1s 31 4.21399570e+01 4.19980273e+01 2.17e-13 8.47e-16 3.47e-06 1s 32 4.21386989e+01 4.20293029e+01 1.79e-13 1.12e-15 2.68e-06 1s 33 4.21376848e+01 4.20623156e+01 1.64e-13 1.05e-15 1.84e-06 1s 34 4.21291730e+01 4.21243755e+01 1.75e-13 6.30e-16 1.17e-07 1s 35 4.21290006e+01 4.21289938e+01 8.09e-14 7.26e-16 1.67e-10 1s 36 4.21290000e+01 4.21290000e+01 7.19e-14 7.84e-16 1.67e-13 1s Barrier solved model in 36 iterations and 1.36 seconds Optimal objective 4.21290000e+01 Root relaxation: objective 4.212900e+01, 16164 iterations, 1.85 seconds Total elapsed time = 5.62s Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 42.12900 0 124 307.00000 42.12900 86.3% - 8s H 0 0 43.0000000 42.12900 2.03% - 8s Explored 0 nodes (31545 simplex iterations) in 8.99 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 4.300000000000e+01, best bound 4.300000000000e+01, gap 0.0% Preprocessing time: 0.72 seconds Gurobi run time: 8.99 seconds Total run time: 9.70 seconds Objective: 43 Solution: 3 x [1, 5, 10, 13, 17, 18, 19, 31, 33] 4 x [1, 3, 10, 23, 25, 27, 27, 33] 2 x [1, 3, 10, 24, 24, 27, 27, 33] 4 x [1, 2, 10, 21, 24, 25, 33, 36] 2 x [10, 12, 13, 13, 15, 18, 23, 25, 36] 2 x [4, 12, 12, 13, 13, 25, 26, 28, 30] 1 x [12, 12, 13, 13, 13, 13, 18, 21, 23, 25, 36] 1 x [12, 12, 16, 17, 23, 29, 29] 3 x [4, 11, 13, 19, 26, 29, 31, 33, 35] 3 x [4, 9, 11, 13, 19, 21, 25, 33, 33, 35] 4 x [4, 4, 9, 9, 11, 30, 33, 33, 35] 2 x [8, 11, 11, 14, 17, 20, 20, 21, 23, 24, 32] 2 x [6, 8, 14, 17, 20, 20, 21, 22, 23, 24, 28, 32] 1 x [5, 13, 18, 19, 21, 29, 31, 36] 1 x [5, 13, 18, 18, 27, 30, 31] 2 x [3, 3, 8, 8, 19, 26, 29, 33, 35, 36] 2 x [2, 2, 7, 13, 16, 27, 29, 31, 33, 36] 1 x [8, 17, 20, 23, 24, 26, 27, 33, 34, 36] 1 x [8, 17, 20, 23, 24, 26, 26, 27, 33, 34, 36] 2 x [8, 14, 17, 18, 20, 20, 23, 24, 30, 30, 32, 36]