Build (method = -2) #dp: 650 Step-3' Graph: 50 vertices and 140 arcs (0.00s) Step-4' Graph: 6 vertices and 52 arcs (0.00s) #V4/#V3 = 0.12 #A4/#A3 = 0.37 Ready! (0.00s) Optimize a model with 18 rows, 53 columns and 154 nonzeros Presolve removed 2 rows and 2 columns Presolve time: 0.00s Presolved: 16 rows, 51 columns, 150 nonzeros Variable types: 0 continuous, 51 integer (0 binary) Found heuristic solution: objective 666.0000000 Found heuristic solution: objective 663.0000000 Optimize a model with 16 rows, 51 columns and 150 nonzeros Presolved: 16 rows, 51 columns, 150 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.300e+01 Factor NZ : 1.360e+02 Factor Ops : 1.496e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.86328565e+03 -2.95949025e+03 3.00e+02 0.00e+00 1.12e+02 0s 1 4.70485299e+02 -8.16697707e+02 1.61e+01 6.66e-16 1.44e+01 0s 2 2.55005352e+02 9.27593334e+00 1.28e+00 9.21e-15 2.22e+00 0s 3 1.76890170e+02 1.17485980e+02 7.49e-02 2.33e-15 5.22e-01 0s 4 1.67785307e+02 1.61656426e+02 8.92e-03 2.22e-16 5.36e-02 0s 5 1.66783023e+02 1.66715628e+02 4.60e-04 1.35e-16 5.81e-04 0s 6 1.66750000e+02 1.66750000e+02 4.92e-10 2.22e-16 6.28e-10 0s Barrier solved model in 6 iterations and 0.00 seconds Optimal objective 1.66750000e+02 Root relaxation: objective 1.667500e+02, 43 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 166.75000 0 5 663.00000 166.75000 74.8% - 0s H 0 0 167.0000000 166.75000 0.15% - 0s Explored 0 nodes (54 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.670000000000e+02, best bound 1.670000000000e+02, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.00 seconds Total run time: 0.01 seconds Objective: 167 Solution: 4 x [2, 3, 5, 12] 8 x [1, 4, 5, 5] 6 x [4, 5, 6, 12] 20 x [5, 6, 10, 12] 3 x [5, 5, 5, 9] 1 x [2, 9, 12] 8 x [2, 5, 7, 12] 30 x [5, 5, 5, 8] 37 x [5, 5, 5, 12] 50 x [5, 5, 5, 11]