Build (method = -2) #dp: 9861 Step-3' Graph: 256 vertices and 760 arcs (0.07s) Step-4' Graph: 91 vertices and 430 arcs (0.07s) #V4/#V3 = 0.36 #A4/#A3 = 0.57 Ready! (0.07s) Optimize a model with 119 rows, 431 columns and 1116 nonzeros Presolve removed 24 rows and 47 columns Presolve time: 0.00s Presolved: 95 rows, 384 columns, 1025 nonzeros Variable types: 0 continuous, 384 integer (74 binary) Found heuristic solution: objective 33.0000000 Found heuristic solution: objective 30.0000000 Optimize a model with 95 rows, 384 columns and 1025 nonzeros Presolved: 95 rows, 384 columns, 1025 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.000e+02 Factor NZ : 1.062e+03 Factor Ops : 1.400e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.32169487e+02 -9.74293210e+02 5.69e+02 1.28e-01 6.60e+00 0s 1 8.53869741e+01 -4.20199410e+02 5.40e+01 4.44e-16 1.05e+00 0s 2 3.01688521e+01 -7.38018132e+01 7.21e-02 2.22e-16 1.33e-01 0s 3 1.28329900e+01 -2.15285186e+01 4.37e-03 2.22e-16 4.39e-02 0s 4 8.33144908e+00 1.88191733e+00 1.45e-03 1.63e-16 8.23e-03 0s 5 7.50683131e+00 6.65666579e+00 9.84e-05 2.17e-16 1.08e-03 0s 6 7.14345699e+00 7.13956717e+00 4.50e-07 2.62e-16 4.96e-06 0s 7 7.14285714e+00 7.14285714e+00 4.30e-13 3.33e-16 5.27e-12 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 7.14285714e+00 Root relaxation: objective 7.142857e+00, 238 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 5 30.00000 7.14286 76.2% - 0s H 0 0 8.0000000 7.14286 10.7% - 0s Explored 0 nodes (316 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: 2 x [3, 6, 9, 10, 12, 16, 20] 1 x [2, 12, 16, 19, 21, 21, 23] 1 x [1, 4, 9, 13, 15, 22, 25] 1 x [1, 4, 5, 7, 15, 22] 1 x [8, 9, 11, 15, 17, 24, 28] 1 x [10, 14, 18, 24, 26, 27, 27] 1 x [11, 25]