Build (method = -2) #dp: 20758 Step-3' Graph: 1108 vertices and 6931 arcs (0.09s) Step-4' Graph: 679 vertices and 6073 arcs (0.10s) #V4/#V3 = 0.61 #A4/#A3 = 0.88 Ready! (0.10s) Optimize a model with 729 rows, 6074 columns and 16868 nonzeros Presolve removed 267 rows and 268 columns Presolve time: 0.10s Presolved: 462 rows, 5806 columns, 17772 nonzeros Variable types: 0 continuous, 5806 integer (5117 binary) Found heuristic solution: objective 23.0000000 Optimize a model with 462 rows, 5806 columns and 17772 nonzeros Presolve removed 3 rows and 3 columns Presolved: 459 rows, 5803 columns, 17795 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 7.507e+03 Factor NZ : 1.868e+04 (roughly 3 MBytes of memory) Factor Ops : 1.095e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.30971997e+02 -8.67440470e+03 2.36e+04 4.27e-01 7.20e+00 0s 1 2.19683601e+02 -3.45184417e+03 4.88e+03 6.66e-16 1.57e+00 0s 2 1.53661724e+02 -9.49860836e+02 9.02e+02 6.66e-16 3.10e-01 0s 3 6.08664603e+01 -1.59200474e+02 1.48e+02 6.66e-16 5.45e-02 0s 4 2.30560442e+01 -1.87918988e+01 1.49e+01 6.66e-16 7.01e-03 0s 5 1.84060536e+01 -8.35464882e-01 2.27e+00 8.88e-16 2.05e-03 0s 6 1.75057406e+01 5.98370157e+00 1.08e+00 4.44e-16 1.12e-03 0s 7 1.68703468e+01 9.74390071e+00 7.30e-01 4.44e-16 6.73e-04 0s 8 1.56530300e+01 1.21544544e+01 2.56e-01 2.22e-16 3.15e-04 0s 9 1.48747848e+01 1.34264811e+01 3.87e-02 2.94e-16 1.26e-04 0s 10 1.44577867e+01 1.37616473e+01 7.10e-03 2.74e-16 6.03e-05 0s 11 1.43010275e+01 1.38880630e+01 3.18e-03 2.22e-16 3.57e-05 0s 12 1.42007162e+01 1.39587951e+01 1.58e-03 2.22e-16 2.09e-05 0s 13 1.41376409e+01 1.40180503e+01 7.76e-04 2.22e-16 1.03e-05 0s 14 1.40988744e+01 1.40387020e+01 3.10e-04 2.22e-16 5.20e-06 0s 15 1.40774833e+01 1.40588058e+01 8.09e-05 2.22e-16 1.61e-06 0s 16 1.40689991e+01 1.40658755e+01 3.69e-06 2.22e-16 2.69e-07 0s 17 1.40681342e+01 1.40677159e+01 3.08e-07 2.22e-16 3.61e-08 0s 18 1.40680319e+01 1.40679149e+01 1.49e-08 2.22e-16 1.01e-08 0s 19 1.40680228e+01 1.40680216e+01 2.26e-10 4.44e-16 1.05e-10 0s 20 1.40680220e+01 1.40680220e+01 1.62e-11 2.41e-16 1.03e-14 0s Barrier solved model in 20 iterations and 0.10 seconds Optimal objective 1.40680220e+01 Root relaxation: objective 1.406802e+01, 361 iterations, 0.10 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 14.06802 0 92 23.00000 14.06802 38.8% - 0s H 0 0 15.0000000 14.06802 6.21% - 0s Explored 0 nodes (403 simplex iterations) in 0.29 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.500000000000e+01, best bound 1.500000000000e+01, gap 0.0% Preprocessing time: 0.12 seconds Gurobi run time: 0.29 seconds Total run time: 0.41 seconds Objective: 15 Solution: 1 x [25, 28, 47] 1 x [13, 50] 1 x [8, 12, 16, 46] 1 x [19, 27, 49] 1 x [22, 29, 48] 1 x [21, 36, 40] 1 x [5, 11, 35, 37] 1 x [3, 7, 42] 1 x [26, 31, 44] 1 x [10, 14, 23, 39] 1 x [24, 30, 41] 1 x [1, 4, 33, 45] 1 x [2, 17, 20, 43] 1 x [9, 15, 32, 34] 1 x [6, 18, 38]