Build (method = -2) #dp: 9812 Step-3' Graph: 250 vertices and 743 arcs (0.07s) Step-4' Graph: 88 vertices and 419 arcs (0.07s) #V4/#V3 = 0.35 #A4/#A3 = 0.56 Ready! (0.07s) Optimize a model with 116 rows, 420 columns and 1088 nonzeros Presolve removed 30 rows and 58 columns Presolve time: 0.00s Presolved: 86 rows, 362 columns, 974 nonzeros Variable types: 0 continuous, 362 integer (78 binary) Found heuristic solution: objective 33.0000000 Found heuristic solution: objective 26.0000000 Optimize a model with 86 rows, 362 columns and 974 nonzeros Presolved: 86 rows, 362 columns, 974 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.610e+02 Factor NZ : 1.040e+03 Factor Ops : 1.529e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.99633889e+02 -1.11225240e+03 6.45e+02 1.16e-01 8.62e+00 0s 1 9.20021942e+01 -4.70922874e+02 4.66e+01 4.44e-16 1.19e+00 0s 2 3.25264128e+01 -9.17260740e+01 5.80e-02 4.44e-16 1.70e-01 0s 3 1.26020634e+01 -7.22084614e+00 6.38e-05 2.08e-16 2.69e-02 0s 4 7.82467237e+00 3.64131780e+00 1.54e-05 2.22e-16 5.67e-03 0s 5 7.23806480e+00 6.92224448e+00 2.84e-07 3.33e-16 4.28e-04 0s 6 7.14287655e+00 7.14276810e+00 4.48e-11 2.37e-16 1.47e-07 0s 7 7.14285714e+00 7.14285714e+00 4.94e-14 2.22e-16 1.59e-13 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 7.14285714e+00 Root relaxation: objective 7.142857e+00, 231 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 7.14286 0 15 26.00000 7.14286 72.5% - 0s H 0 0 8.0000000 7.14286 10.7% - 0s Explored 0 nodes (299 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.000000000000e+00, best bound 8.000000000000e+00, gap 0.0% Preprocessing time: 0.08 seconds Gurobi run time: 0.02 seconds Total run time: 0.10 seconds Objective: 8 Solution: 1 x [1, 2, 9, 13, 15, 17, 23] 1 x [2, 5, 7, 8, 9, 16, 26] 1 x [3, 5, 14, 25, 28] 1 x [7, 12, 19, 19, 20, 21, 28] 1 x [7, 8, 9, 10, 19, 22, 27] 1 x [12, 16, 18, 22, 24, 25] 1 x [4, 8, 10, 14, 20] 1 x [6, 7, 10, 11, 12, 12]