Build (method = -2) #dp: 54236 Step-3' Graph: 1663 vertices and 12675 arcs (0.38s) Step-4' Graph: 1593 vertices and 12543 arcs (0.39s) #V4/#V3 = 0.96 #A4/#A3 = 0.99 Ready! (0.39s) Optimize a model with 1611 rows, 12544 columns and 34449 nonzeros Presolve removed 74 rows and 153 columns Presolve time: 0.11s Presolved: 1537 rows, 12391 columns, 34253 nonzeros Variable types: 0 continuous, 12391 integer (0 binary) Optimize a model with 1537 rows, 12391 columns and 34253 nonzeros Presolved: 1537 rows, 12391 columns, 34253 nonzeros Root barrier log... Ordering time: 0.06s Barrier statistics: AA' NZ : 2.136e+04 Factor NZ : 1.574e+05 (roughly 7 MBytes of memory) Factor Ops : 2.685e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.34730218e+04 -7.75093696e+05 1.30e+06 2.22e-16 7.50e+02 0s 1 2.21365312e+03 -3.63526179e+05 1.57e+05 8.88e-16 1.00e+02 0s 2 8.08794676e+02 -1.66494955e+05 3.43e+04 5.33e-15 2.42e+01 0s 3 3.99757519e+02 -8.30098447e+04 6.12e+03 4.00e-15 6.08e+00 0s 4 4.12243659e+02 -3.35980252e+04 2.45e+03 7.99e-15 2.32e+00 0s 5 3.98012144e+02 -2.25331783e+04 5.51e+02 1.11e-14 1.12e+00 0s 6 3.82003574e+02 -9.57967691e+03 5.80e+01 1.78e-14 4.18e-01 0s 7 3.52641151e+02 -6.76026756e+03 1.40e+01 1.33e-14 2.90e-01 0s 8 3.03224363e+02 -2.74315618e+03 9.06e+00 4.44e-15 1.24e-01 0s 9 2.55537729e+02 -1.96171304e+03 5.80e+00 3.22e-15 9.01e-02 0s 10 2.07545499e+02 -1.25378752e+03 2.69e+00 2.00e-15 5.92e-02 0s 11 1.87332948e+02 -9.01031175e+02 2.08e+00 1.55e-15 4.41e-02 0s 12 1.83696472e+02 -6.89035161e+02 8.53e-01 1.11e-15 3.53e-02 0s 13 1.58035939e+02 -6.74647382e+02 6.62e-01 1.11e-15 3.36e-02 0s 14 1.43999451e+02 -5.88732638e+02 5.95e-01 9.99e-16 2.96e-02 0s 15 9.81895553e+01 -1.30814445e+02 3.88e-01 3.85e-16 9.26e-03 0s 16 5.57625596e+01 -6.47926720e+01 2.00e-01 4.18e-16 4.87e-03 0s 17 3.67794616e+01 -4.82430885e+01 1.19e-01 4.83e-16 3.44e-03 0s 18 3.29852182e+01 -3.95529957e+01 9.98e-02 4.82e-16 2.93e-03 0s 19 2.82479467e+01 -2.79337722e+01 7.45e-02 4.85e-16 2.27e-03 1s 20 2.56010019e+01 -1.54256483e+01 5.80e-02 5.69e-16 1.66e-03 1s 21 2.27418718e+01 -3.04019629e+00 4.11e-02 4.44e-16 1.04e-03 1s 22 2.11503990e+01 3.89576732e+00 2.99e-02 4.52e-16 6.97e-04 1s 23 2.01125113e+01 8.58379696e+00 2.28e-02 3.49e-16 4.66e-04 1s 24 1.90915326e+01 1.20855246e+01 1.50e-02 3.87e-16 2.83e-04 1s 25 1.90305193e+01 1.27834163e+01 1.42e-02 4.83e-16 2.52e-04 1s 26 1.88157687e+01 1.37488539e+01 1.23e-02 4.54e-16 2.05e-04 1s 27 1.79508920e+01 1.55868148e+01 3.00e-03 3.41e-16 9.54e-05 1s 28 1.77831474e+01 1.67213171e+01 1.47e-03 3.81e-16 4.28e-05 1s 29 1.77030538e+01 1.71741562e+01 9.29e-04 4.05e-16 2.13e-05 1s 30 1.76028827e+01 1.73940238e+01 2.83e-04 3.32e-16 8.43e-06 1s 31 1.75774955e+01 1.74760104e+01 1.49e-04 3.98e-16 4.09e-06 1s 32 1.75538755e+01 1.74988257e+01 3.05e-05 3.70e-16 2.22e-06 1s 33 1.75492215e+01 1.75358535e+01 7.59e-06 3.69e-16 5.39e-07 1s 34 1.75480388e+01 1.75449255e+01 3.47e-06 3.12e-16 1.26e-07 1s 35 1.75470131e+01 1.75468750e+01 1.45e-08 3.80e-16 5.57e-09 1s 36 1.75470000e+01 1.75469999e+01 5.28e-12 3.35e-16 5.57e-12 1s Barrier solved model in 36 iterations and 0.85 seconds Optimal objective 1.75470000e+01 Root relaxation: objective 1.754700e+01, 6533 iterations, 0.97 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.54700 0 102 - 17.54700 - - 3s H 0 0 19.0000000 17.54700 7.65% - 4s H 0 0 18.0000000 17.54700 2.52% - 4s Explored 0 nodes (15649 simplex iterations) in 4.93 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.800000000000e+01, best bound 1.800000000000e+01, gap 0.0% Preprocessing time: 0.44 seconds Gurobi run time: 4.93 seconds Total run time: 5.37 seconds Objective: 18 Solution: 1 x [2, 5, 6, 7, 9, 11, 14, 17] 1 x [2, 5, 6, 7, 9, 11, 14, 17, 17] 1 x [5, 6, 7, 8, 9, 9, 13, 13, 15, 16, 16, 18] 3 x [2, 2, 2, 6, 6, 7, 8, 10, 13, 18, 18, 18] 1 x [5, 7, 9, 9, 11, 13, 13, 14, 16, 18] 1 x [7, 8, 9, 9, 11, 14, 14, 15, 18] 1 x [3, 7, 9, 13, 14, 14, 15, 15, 18, 18, 18] 3 x [7, 9, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16] 2 x [3, 4, 5, 7, 8, 8, 8, 10, 11, 16, 16, 18] 1 x [4, 6, 6, 7, 7, 12, 14, 16, 16] 3 x [1, 2, 5, 5, 5, 10, 12, 12, 12, 12, 12, 17]