Build (method = -2) #dp: 8653 Step-3' Graph: 319 vertices and 950 arcs (0.08s) Step-4' Graph: 99 vertices and 510 arcs (0.08s) #V4/#V3 = 0.31 #A4/#A3 = 0.54 Ready! (0.08s) Optimize a model with 145 rows, 511 columns and 1339 nonzeros Presolve removed 29 rows and 56 columns Presolve time: 0.01s Presolved: 116 rows, 455 columns, 1227 nonzeros Variable types: 0 continuous, 455 integer (50 binary) Found heuristic solution: objective 105.0000000 Found heuristic solution: objective 67.0000000 Optimize a model with 116 rows, 455 columns and 1227 nonzeros Presolved: 116 rows, 455 columns, 1227 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.610e+02 Factor NZ : 1.093e+03 Factor Ops : 1.329e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.33825481e+02 -1.34329461e+03 1.09e+03 1.04e-01 1.07e+01 0s 1 1.89055958e+02 -6.11542277e+02 6.82e+01 6.66e-16 1.32e+00 0s 2 8.25216524e+01 -1.23726815e+02 6.05e-02 7.22e-16 2.21e-01 0s 3 3.38698797e+01 -7.20061646e+00 4.41e-03 7.77e-16 4.36e-02 0s 4 2.53001017e+01 1.98150330e+01 6.06e-04 7.77e-16 5.81e-03 0s 5 2.40488598e+01 2.39362191e+01 7.17e-07 5.66e-16 1.19e-04 0s 6 2.40000004e+01 2.39999982e+01 6.73e-12 4.44e-16 2.31e-09 0s 7 2.40000000e+01 2.40000000e+01 1.56e-13 4.94e-16 2.38e-15 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 2.40000000e+01 Root relaxation: objective 2.400000e+01, 310 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 24.00000 0 8 67.00000 24.00000 64.2% - 0s H 0 0 25.0000000 24.00000 4.00% - 0s H 0 0 24.0000000 24.00000 0.0% - 0s Explored 0 nodes (389 simplex iterations) in 0.03 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.400000000000e+01, best bound 2.400000000000e+01, gap 0.0% Preprocessing time: 0.09 seconds Gurobi run time: 0.03 seconds Total run time: 0.11 seconds Objective: 24 Solution: 1 x [4, 6, 15, 35, 46] 3 x [10, 14, 17, 33, 45] 2 x [3, 7, 19, 29, 45] 4 x [20, 21, 35, 43, 44] 1 x [8, 22, 37, 37, 44] 1 x [13, 13, 24, 27, 44] 1 x [1, 2, 42, 42, 42] 1 x [6, 28, 31, 36, 41] 3 x [9, 14, 25, 30, 40] 1 x [6, 18, 32, 34, 39] 1 x [3, 4, 34, 38, 38] 1 x [4, 8, 11, 37, 37] 1 x [4, 5, 28, 31, 36] 2 x [2, 19, 23, 26, 29] 1 x [4, 12, 16, 24, 27]