Build (method = -2) #dp: 8464 Step-3' Graph: 356 vertices and 3953 arcs (0.06s) Step-4' Graph: 277 vertices and 3690 arcs (0.06s) #V4/#V3 = 0.78 #A4/#A3 = 0.93 Ready! (0.06s) Optimize a model with 311 rows, 3691 columns and 10523 nonzeros Presolve removed 14 rows and 25 columns Presolve time: 0.07s Presolved: 297 rows, 3666 columns, 10492 nonzeros Variable types: 0 continuous, 3666 integer (2283 binary) Found heuristic solution: objective 32.0000000 Optimize a model with 297 rows, 3666 columns and 10492 nonzeros Presolved: 297 rows, 3666 columns, 10492 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.211e+03 Factor NZ : 1.898e+04 (roughly 2 MBytes of memory) Factor Ops : 1.534e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.24451071e+03 -2.54875955e+04 1.90e+04 1.75e-01 2.39e+01 0s 1 6.39749851e+02 -7.45018662e+03 3.69e+03 6.66e-16 4.79e+00 0s 2 1.91570543e+02 -3.30562574e+03 4.37e+02 1.11e-15 8.81e-01 0s 3 1.08335431e+02 -5.52554436e+02 8.56e+01 1.78e-15 1.60e-01 0s 4 6.09864633e+01 -1.76791591e+02 2.69e+01 6.34e-16 5.20e-02 0s 5 4.09140635e+01 -1.16671661e+02 1.24e+01 5.83e-16 2.95e-02 0s 6 3.13427148e+01 -4.91616847e+01 6.94e+00 3.33e-16 1.41e-02 0s 7 2.53661620e+01 -3.54853059e+01 4.09e+00 3.30e-16 9.90e-03 0s 8 1.98225814e+01 -2.38427240e+01 2.64e+00 4.44e-16 6.86e-03 0s 9 1.43855861e+01 -2.07913864e+01 1.49e+00 3.92e-16 5.28e-03 0s 10 1.06711563e+01 -1.31140328e+01 8.53e-01 3.87e-16 3.48e-03 0s 11 9.76892264e+00 -9.64763496e+00 6.87e-01 3.96e-16 2.81e-03 0s 12 8.74839056e+00 -3.18774723e+00 4.81e-01 3.42e-16 1.71e-03 0s 13 8.65523484e+00 5.29717062e-01 4.11e-01 2.64e-16 1.16e-03 0s 14 8.55499699e+00 1.29543948e+00 3.80e-01 3.33e-16 1.04e-03 0s 15 8.21492445e+00 5.34929890e+00 2.44e-01 3.33e-16 4.06e-04 0s 16 7.67095745e+00 5.60376784e+00 9.18e-02 3.26e-16 2.87e-04 0s 17 7.46246544e+00 6.60482154e+00 3.71e-02 2.69e-16 1.18e-04 0s 18 7.35253298e+00 6.91570775e+00 1.42e-02 3.04e-16 6.00e-05 0s 19 7.28294742e+00 7.05235821e+00 3.29e-03 3.32e-16 3.15e-05 0s 20 7.25247958e+00 7.12539392e+00 9.41e-04 3.27e-16 1.73e-05 0s 21 7.24154425e+00 7.16329778e+00 3.29e-04 3.26e-16 1.07e-05 0s 22 7.23585959e+00 7.21500701e+00 2.05e-05 2.25e-16 2.84e-06 0s 23 7.23474962e+00 7.23327062e+00 9.66e-07 3.21e-16 2.01e-07 0s 24 7.23458130e+00 7.23451629e+00 8.42e-14 3.33e-16 8.85e-09 0s 25 7.23456790e+00 7.23456790e+00 7.74e-14 3.33e-16 2.63e-14 0s Barrier solved model in 25 iterations and 0.09 seconds Optimal objective 7.23456790e+00 Root relaxation: objective 7.234568e+00, 1811 iterations, 0.13 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 7.23457 0 70 32.00000 7.23457 77.4% - 0s H 0 0 13.0000000 7.23457 44.3% - 0s H 0 0 9.0000000 7.23457 19.6% - 0s H 0 0 8.0000000 7.23457 9.57% - 0s Explored 0 nodes (5813 simplex iterations) in 0.75 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: 0.09 seconds Gurobi run time: 0.75 seconds Total run time: 0.84 seconds Objective: 8 Solution: 1 x [25, 25, 26, 26, 27, 27] 1 x [2, 4, 6, 18, 24, 30] 1 x [11, 12, 20, 22, 23, 28, 29] 1 x [7, 14, 14, 17, 21, 32, 34] 1 x [1, 19, 19, 21, 21, 31, 33] 1 x [10, 17, 19, 28] 1 x [3, 15, 16, 19, 31, 31] 1 x [5, 8, 9, 9, 9, 13, 13]