Build (method = -2) #dp: 8964 Step-3' Graph: 317 vertices and 3922 arcs (0.06s) Step-4' Graph: 211 vertices and 3630 arcs (0.06s) #V4/#V3 = 0.67 #A4/#A3 = 0.93 Ready! (0.06s) Optimize a model with 256 rows, 3631 columns and 10475 nonzeros Presolve removed 4 rows and 5 columns Presolve time: 0.05s Presolved: 252 rows, 3626 columns, 10472 nonzeros Variable types: 0 continuous, 3626 integer (781 binary) Found heuristic solution: objective 87.0000000 Optimize a model with 252 rows, 3626 columns and 10472 nonzeros Presolved: 252 rows, 3626 columns, 10472 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.890e+03 Factor NZ : 1.446e+04 (roughly 2 MBytes of memory) Factor Ops : 1.110e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.24111976e+03 -4.77395326e+04 5.09e+04 1.85e-01 7.29e+01 0s 1 2.20032657e+03 -1.34753518e+04 1.06e+04 6.66e-16 1.52e+01 0s 2 5.45296963e+02 -5.72580754e+03 1.52e+03 8.88e-16 2.61e+00 0s 3 2.89566640e+02 -1.91868449e+03 2.38e+02 2.22e-15 5.10e-01 0s 4 1.75810556e+02 -3.99257773e+02 4.49e+01 1.44e-15 1.06e-01 0s 5 1.24417769e+02 -2.17849675e+02 2.54e+01 7.77e-16 5.96e-02 0s 6 1.10070027e+02 -1.46249464e+02 2.10e+01 4.44e-16 4.46e-02 0s 7 1.07123738e+02 -1.39265218e+02 1.87e+01 4.44e-16 4.21e-02 0s 8 8.38550647e+01 -6.41481824e+01 1.36e+01 3.09e-16 2.58e-02 0s 9 5.43574205e+01 -3.10524684e+01 7.26e+00 2.89e-16 1.44e-02 0s 10 3.53991370e+01 -1.20479041e+01 3.91e+00 2.22e-16 7.77e-03 0s 11 2.88094751e+01 -1.07396850e-01 2.56e+00 3.33e-16 4.62e-03 0s 12 2.59521697e+01 1.05785230e+01 1.65e+00 2.22e-16 2.39e-03 0s 13 2.46305562e+01 1.48015539e+01 9.72e-01 1.66e-16 1.47e-03 0s 14 2.40223353e+01 1.84342201e+01 4.81e-01 3.33e-16 8.06e-04 0s 15 2.24858534e+01 1.97382711e+01 2.35e-01 2.22e-16 3.91e-04 0s 16 2.13145752e+01 2.04539607e+01 4.55e-02 2.47e-16 1.20e-04 0s 17 2.10837882e+01 2.07920472e+01 1.74e-02 3.33e-16 4.08e-05 0s 18 2.09626149e+01 2.08697412e+01 4.16e-03 2.22e-16 1.29e-05 0s 19 2.09190498e+01 2.09131908e+01 9.18e-05 2.89e-16 8.08e-07 0s 20 2.09172757e+01 2.09171515e+01 2.17e-12 3.33e-16 1.70e-08 0s 21 2.09172414e+01 2.09172414e+01 3.89e-13 2.65e-16 7.81e-13 0s Barrier solved model in 21 iterations and 0.06 seconds Optimal objective 2.09172414e+01 Root relaxation: objective 2.091724e+01, 1395 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 20.91724 0 65 87.00000 20.91724 76.0% - 0s H 0 0 23.0000000 20.91724 9.06% - 0s H 0 0 22.0000000 20.91724 4.92% - 0s H 0 0 21.0000000 20.91724 0.39% - 0s Explored 0 nodes (2524 simplex iterations) in 0.41 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.100000000000e+01, best bound 2.100000000000e+01, gap 0.0% Preprocessing time: 0.08 seconds Gurobi run time: 0.41 seconds Total run time: 0.49 seconds Objective: 21 Solution: 1 x [34, 43, 43, 44, 45] 1 x [34, 35, 40, 40, 45] 1 x [34, 35, 38, 41, 42] 1 x [34, 39, 41, 41, 42] 1 x [26, 30, 30, 33, 39] 1 x [1, 1, 11, 21, 24, 39] 1 x [31, 37, 37, 38, 38] 1 x [2, 3, 5, 10, 36, 37] 1 x [7, 9, 9, 10, 32, 33] 1 x [2, 3, 12, 22, 26, 33] 1 x [3, 8, 14, 19, 21, 33] 1 x [7, 7, 15, 18, 19, 33] 1 x [10, 11, 11, 14, 19, 33] 1 x [3, 8, 11, 12, 32, 32] 1 x [7, 12, 15, 16, 18, 31] 1 x [2, 6, 7, 22, 29, 30] 1 x [8, 8, 9, 16, 29, 29] 1 x [8, 8, 9, 19, 27, 28] 1 x [5, 7, 7, 23, 28, 28] 1 x [4, 4, 13, 21, 25, 25] 1 x [14, 15, 15, 17, 18, 20]