Build (method = -2) #dp: 10322 Step-3' Graph: 304 vertices and 4867 arcs (0.07s) Step-4' Graph: 246 vertices and 4720 arcs (0.07s) #V4/#V3 = 0.81 #A4/#A3 = 0.97 Ready! (0.07s) Optimize a model with 302 rows, 4721 columns and 13680 nonzeros Presolve removed 16 rows and 21 columns Presolve time: 0.06s Presolved: 286 rows, 4700 columns, 13686 nonzeros Variable types: 0 continuous, 4700 integer (2374 binary) Found heuristic solution: objective 71.0000000 Found heuristic solution: objective 54.0000000 Optimize a model with 286 rows, 4700 columns and 13686 nonzeros Presolved: 286 rows, 4700 columns, 13686 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 7.738e+03 Factor NZ : 1.775e+04 (roughly 2 MBytes of memory) Factor Ops : 1.354e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.25107161e+03 -3.89402350e+04 7.38e+04 2.68e-01 3.53e+01 0s 1 1.70446336e+03 -9.22967270e+03 1.44e+04 8.88e-16 6.83e+00 0s 2 3.83738772e+02 -3.13029339e+03 1.71e+03 3.00e-15 9.81e-01 0s 3 1.86170486e+02 -8.06045384e+02 1.98e+02 2.66e-15 1.62e-01 0s 4 8.76805686e+01 -1.85704667e+02 3.35e+01 1.55e-15 3.66e-02 0s 5 7.15621431e+01 -1.09318275e+02 2.18e+01 1.11e-15 2.32e-02 0s 6 5.56528272e+01 -6.91263373e+01 1.35e+01 6.66e-16 1.55e-02 0s 7 4.03866297e+01 -4.06275632e+01 8.08e+00 3.89e-16 9.74e-03 0s 8 3.23249941e+01 -9.39114916e+00 5.16e+00 2.47e-16 4.93e-03 0s 9 2.47702785e+01 7.97698583e+00 2.02e+00 2.22e-16 1.91e-03 0s 10 2.25361680e+01 1.65777643e+01 8.36e-01 3.33e-16 6.60e-04 0s 11 2.12834978e+01 1.88245149e+01 3.06e-01 2.22e-16 2.68e-04 0s 12 2.08908211e+01 1.95123895e+01 1.67e-01 2.22e-16 1.49e-04 0s 13 2.05942334e+01 1.99223785e+01 7.07e-02 2.22e-16 7.25e-05 0s 14 2.04848889e+01 2.00583630e+01 3.87e-02 2.22e-16 4.59e-05 0s 15 2.03840240e+01 2.02421633e+01 1.22e-02 2.95e-16 1.52e-05 0s 16 2.03353419e+01 2.03167575e+01 1.02e-03 2.36e-16 1.99e-06 0s 17 2.03292948e+01 2.03280672e+01 7.08e-05 4.44e-16 1.31e-07 0s 18 2.03285720e+01 2.03285702e+01 3.58e-08 2.32e-16 1.94e-10 0s 19 2.03285714e+01 2.03285714e+01 5.19e-14 3.48e-16 2.00e-16 0s Barrier solved model in 19 iterations and 0.09 seconds Optimal objective 2.03285714e+01 Root relaxation: objective 2.032857e+01, 1934 iterations, 0.13 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 20.32857 0 68 54.00000 20.32857 62.4% - 0s H 0 0 23.0000000 20.32857 11.6% - 0s H 0 0 21.0000000 20.32857 3.20% - 0s Explored 0 nodes (4752 simplex iterations) in 0.66 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: 0.09 seconds Gurobi run time: 0.66 seconds Total run time: 0.75 seconds Objective: 21 Solution: 1 x [53, 54, 56, 56] 1 x [37, 54, 55] 1 x [4, 11, 27, 43, 53] 1 x [2, 9, 29, 44, 52] 1 x [9, 13, 17, 44, 52] 1 x [1, 1, 32, 48, 51] 1 x [5, 9, 23, 48, 51] 1 x [1, 14, 34, 37, 51] 1 x [12, 12, 25, 34, 51] 1 x [1, 32, 43, 50] 1 x [1, 16, 26, 43, 50] 1 x [4, 18, 28, 38, 49] 1 x [2, 3, 37, 47, 47] 1 x [10, 20, 22, 35, 46] 1 x [1, 1, 39, 46, 46] 1 x [11, 25, 25, 28, 45] 1 x [6, 23, 33, 43] 1 x [7, 21, 30, 36, 42] 1 x [9, 24, 30, 32, 41] 1 x [15, 19, 27, 35, 40] 1 x [8, 26, 31, 34, 37]