Build (method = -2) #dp: 1230 Step-3' Graph: 92 vertices and 307 arcs (0.01s) Step-4' Graph: 54 vertices and 231 arcs (0.01s) #V4/#V3 = 0.59 #A4/#A3 = 0.75 Ready! (0.01s) Optimize a model with 64 rows, 232 columns and 597 nonzeros Presolve removed 12 rows and 23 columns Presolve time: 0.00s Presolved: 52 rows, 209 columns, 553 nonzeros Variable types: 0 continuous, 209 integer (6 binary) Found heuristic solution: objective 96.0000000 Found heuristic solution: objective 51.0000000 Optimize a model with 52 rows, 209 columns and 553 nonzeros Presolved: 52 rows, 209 columns, 553 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.010e+02 Factor NZ : 8.050e+02 Factor Ops : 1.446e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.23757445e+02 -2.16627754e+03 3.14e+03 1.76e-01 5.40e+01 0s 1 2.81634961e+02 -1.20806381e+03 6.34e+02 6.66e-16 1.15e+01 0s 2 8.05985465e+01 -4.13684473e+02 3.42e+01 6.66e-16 1.47e+00 0s 3 4.55103322e+01 -6.86334635e+01 1.60e-02 3.89e-16 2.67e-01 0s 4 2.27538006e+01 -6.79955005e+00 2.64e-03 4.44e-16 6.92e-02 0s 5 1.81599131e+01 9.56093466e+00 1.28e-03 2.51e-16 2.01e-02 0s 6 1.70500718e+01 1.48313425e+01 5.70e-04 3.90e-16 5.20e-03 0s 7 1.66890898e+01 1.66373087e+01 4.31e-07 4.20e-16 1.21e-04 0s 8 1.66666892e+01 1.66666369e+01 2.99e-14 3.48e-16 1.23e-07 0s 9 1.66666667e+01 1.66666667e+01 5.00e-14 3.24e-16 1.23e-13 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.66666667e+01 Root relaxation: objective 1.666667e+01, 131 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 16.66667 0 12 51.00000 16.66667 67.3% - 0s H 0 0 22.0000000 16.66667 24.2% - 0s 0 0 16.66667 0 8 22.00000 16.66667 24.2% - 0s H 0 0 17.0000000 16.66667 1.96% - 0s Cutting planes: Gomory: 1 MIR: 1 Zero half: 1 Explored 0 nodes (282 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.700000000000e+01, best bound 1.700000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.02 seconds Total run time: 0.03 seconds Objective: 17 Solution: 4 x [6, 7, 8, 10, 10, 10] 3 x [2, 3, 3, 7, 8, 8] 2 x [4, 8, 8, 10, 10, 10] 1 x [1, 1, 3, 3, 7, 9] 1 x [1, 1, 4, 7] 5 x [1, 1, 1, 5, 7, 7] 1 x [3, 3, 3, 4, 4, 7]