Build (method = -2) #dp: 49676 Step-3' Graph: 2503 vertices and 15908 arcs (0.24s) Step-4' Graph: 1341 vertices and 13584 arcs (0.25s) #V4/#V3 = 0.54 #A4/#A3 = 0.85 Ready! (0.25s) Optimize a model with 1391 rows, 13585 columns and 38077 nonzeros Presolve removed 350 rows and 351 columns Presolve time: 0.31s Presolved: 1041 rows, 13234 columns, 39146 nonzeros Variable types: 0 continuous, 13234 integer (11899 binary) Optimize a model with 1041 rows, 13234 columns and 39146 nonzeros Presolve removed 31 rows and 31 columns Presolved: 1010 rows, 13203 columns, 39378 nonzeros Root barrier log... Ordering time: 0.03s Barrier statistics: AA' NZ : 1.962e+04 Factor NZ : 7.691e+04 (roughly 6 MBytes of memory) Factor Ops : 1.139e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.44793392e+03 -2.59404491e+04 1.77e+05 1.31e-01 1.44e+01 0s 1 7.09641419e+02 -1.18248704e+04 2.97e+04 1.19e-01 2.65e+00 0s 2 3.12559667e+02 -3.82321714e+03 6.89e+03 1.77e-02 6.38e-01 0s 3 1.07423296e+02 -1.02332011e+03 8.96e+02 1.91e-03 1.02e-01 0s 4 4.02324433e+01 -2.24516919e+02 1.67e+02 3.52e-05 2.09e-02 0s 5 1.96665020e+01 -5.22636684e+01 2.41e+01 5.83e-16 4.18e-03 0s 6 1.74871100e+01 -1.74383824e+01 1.23e+01 4.34e-16 1.91e-03 0s 7 1.58833042e+01 -9.24053748e+00 4.48e+00 4.15e-16 1.13e-03 0s 8 1.49827297e+01 3.18299562e+00 1.91e+00 3.12e-16 4.92e-04 0s 9 1.43932137e+01 7.86421850e+00 1.15e+00 2.54e-16 2.66e-04 0s 10 1.40242141e+01 9.86740272e+00 8.20e-01 2.26e-16 1.68e-04 0s 11 1.35132375e+01 1.12284839e+01 4.11e-01 2.22e-16 9.07e-05 0s 12 1.32468380e+01 1.19087025e+01 2.26e-01 2.22e-16 5.27e-05 0s 13 1.30322385e+01 1.24496993e+01 9.57e-02 2.66e-16 2.28e-05 0s 14 1.29245581e+01 1.26276072e+01 4.33e-02 2.22e-16 1.16e-05 0s 15 1.28711174e+01 1.26832382e+01 2.22e-02 2.22e-16 7.29e-06 0s 16 1.28464553e+01 1.27374989e+01 1.37e-02 2.23e-16 4.23e-06 0s 17 1.28325429e+01 1.27557548e+01 9.24e-03 2.22e-16 2.98e-06 0s 18 1.28133917e+01 1.27757175e+01 3.47e-03 2.23e-16 1.45e-06 0s 19 1.28041547e+01 1.27880375e+01 1.09e-03 2.22e-16 6.19e-07 0s 20 1.27994874e+01 1.27971522e+01 6.36e-05 3.18e-16 8.90e-08 0s 21 1.27990026e+01 1.27989920e+01 6.07e-14 3.00e-16 4.02e-10 0s 22 1.27990000e+01 1.27990000e+01 5.08e-14 3.93e-16 4.02e-13 0s Barrier solved model in 22 iterations and 0.38 seconds Optimal objective 1.27990000e+01 Root relaxation: objective 1.279900e+01, 1114 iterations, 0.41 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 12.79900 0 101 - 12.79900 - - 0s H 0 0 13.0000000 12.79900 1.55% - 1s Explored 0 nodes (2533 simplex iterations) in 1.17 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.300000000000e+01, best bound 1.300000000000e+01, gap 0.0% Preprocessing time: 0.30 seconds Gurobi run time: 1.17 seconds Total run time: 1.48 seconds Objective: 13 Solution: 1 x [9, 10, 32, 47] 1 x [4, 46, 48] 1 x [7, 17, 20, 50] 1 x [5, 13, 44, 49] 1 x [22, 29, 36] 1 x [2, 23, 41] 1 x [21, 28, 31, 38] 1 x [18, 24, 37, 39] 1 x [16, 19, 33, 43] 1 x [14, 25, 30, 42] 1 x [3, 26, 27, 45] 1 x [6, 11, 12, 34, 40] 1 x [1, 8, 15, 35]