Build (method = -2) #dp: 41917 Step-3' Graph: 1959 vertices and 13705 arcs (0.20s) Step-4' Graph: 1172 vertices and 12131 arcs (0.21s) #V4/#V3 = 0.60 #A4/#A3 = 0.89 Ready! (0.21s) Optimize a model with 1222 rows, 12132 columns and 34056 nonzeros Presolve removed 353 rows and 356 columns Presolve time: 0.29s Presolved: 869 rows, 11776 columns, 35319 nonzeros Variable types: 0 continuous, 11776 integer (10645 binary) Optimize a model with 869 rows, 11776 columns and 35319 nonzeros Presolve removed 16 rows and 16 columns Presolved: 853 rows, 11760 columns, 35416 nonzeros Root barrier log... Ordering time: 0.02s Barrier statistics: AA' NZ : 1.657e+04 Factor NZ : 5.941e+04 (roughly 6 MBytes of memory) Factor Ops : 7.625e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.15550062e+03 -2.53538688e+04 1.17e+05 6.00e-01 2.69e+01 0s 1 9.27954787e+02 -1.23709144e+04 3.04e+04 7.51e-02 7.05e+00 0s 2 3.68281067e+02 -5.87740368e+03 5.80e+03 1.54e-02 1.46e+00 0s 3 1.98419263e+02 -1.64489469e+03 7.67e+02 1.75e-03 2.28e-01 0s 4 7.00273577e+01 -3.23596955e+02 1.58e+02 1.36e-04 4.79e-02 0s 5 2.52307934e+01 -9.82151225e+01 2.05e+01 5.00e-16 9.25e-03 0s 6 2.06492281e+01 -3.15221108e+01 9.73e+00 6.11e-16 3.81e-03 0s 7 2.03629526e+01 -1.15918887e+01 9.12e+00 4.51e-16 2.55e-03 0s 8 1.86351856e+01 -5.91641151e+00 5.67e+00 4.47e-16 1.69e-03 0s 9 1.72382498e+01 9.72093339e-01 3.43e+00 4.34e-16 1.00e-03 0s 10 1.63497509e+01 3.75287323e+00 2.37e+00 2.84e-16 7.20e-04 0s 11 1.62458114e+01 4.50370475e+00 2.26e+00 3.74e-16 6.66e-04 0s 12 1.57091371e+01 6.45308351e+00 1.70e+00 2.29e-16 5.00e-04 0s 13 1.49701748e+01 9.73090789e+00 9.70e-01 2.22e-16 2.64e-04 0s 14 1.44419825e+01 1.14502540e+01 5.60e-01 3.33e-16 1.44e-04 0s 15 1.39820985e+01 1.23567252e+01 2.51e-01 2.22e-16 7.47e-05 0s 16 1.36917213e+01 1.29310149e+01 9.81e-02 4.44e-16 3.41e-05 0s 17 1.35363435e+01 1.31967248e+01 4.00e-02 2.90e-16 1.51e-05 0s 18 1.34555420e+01 1.32722942e+01 1.76e-02 2.22e-16 8.07e-06 0s 19 1.34408327e+01 1.32961357e+01 1.41e-02 3.33e-16 6.38e-06 0s 20 1.34122858e+01 1.33227577e+01 8.03e-03 2.57e-16 3.93e-06 0s 21 1.33867369e+01 1.33417873e+01 3.37e-03 2.28e-16 1.96e-06 0s 22 1.33766426e+01 1.33536478e+01 1.84e-03 2.22e-16 1.01e-06 0s 23 1.33690190e+01 1.33589015e+01 7.74e-04 2.22e-16 4.42e-07 0s 24 1.33637087e+01 1.33625053e+01 7.63e-05 2.37e-16 5.24e-08 0s 25 1.33630014e+01 1.33629976e+01 1.13e-13 2.31e-16 1.58e-10 0s 26 1.33630000e+01 1.33630000e+01 8.24e-14 3.33e-16 1.58e-13 0s Barrier solved model in 26 iterations and 0.34 seconds Optimal objective 1.33630000e+01 Root relaxation: objective 1.336300e+01, 994 iterations, 0.37 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 13.36300 0 74 - 13.36300 - - 0s H 0 0 23.0000000 13.36300 41.9% - 0s H 0 0 14.0000000 13.36300 4.55% - 1s Explored 0 nodes (2447 simplex iterations) in 1.06 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.400000000000e+01, best bound 1.400000000000e+01, gap 0.0% Preprocessing time: 0.26 seconds Gurobi run time: 1.06 seconds Total run time: 1.32 seconds Objective: 14 Solution: 1 x [35, 40, 42] 1 x [30, 39, 46] 1 x [7, 10, 31, 43] 1 x [38, 41] 1 x [25, 37, 47] 1 x [29, 32, 49] 1 x [5, 26, 27, 33] 1 x [6, 12, 18, 50] 1 x [21, 23, 45] 1 x [15, 22, 48] 1 x [1, 3, 8, 20, 44] 1 x [2, 4, 11, 13, 36] 1 x [9, 16, 24, 34] 1 x [14, 17, 19, 28]