Build (method = -2) #dp: 82 Step-3' Graph: 22 vertices and 59 arcs (0.00s) Step-4' Graph: 13 vertices and 41 arcs (0.00s) #V4/#V3 = 0.59 #A4/#A3 = 0.69 Ready! (0.00s) Optimize a model with 23 rows, 42 columns and 104 nonzeros Presolve removed 8 rows and 11 columns Presolve time: 0.00s Presolved: 15 rows, 31 columns, 77 nonzeros Variable types: 0 continuous, 31 integer (0 binary) Found heuristic solution: objective 85.0000000 Found heuristic solution: objective 73.0000000 Optimize a model with 15 rows, 31 columns and 77 nonzeros Presolved: 15 rows, 31 columns, 77 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.000e+01 Factor NZ : 1.200e+02 Factor Ops : 1.240e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.87258587e+02 -2.58341152e+02 2.15e+02 2.22e-16 1.67e+01 0s 1 8.73594247e+01 -5.76045915e+01 9.42e+00 5.00e-16 2.42e+00 0s 2 6.46992831e+01 1.50491331e+01 8.03e-01 3.89e-16 7.50e-01 0s 3 5.49183527e+01 4.73912675e+01 2.57e-03 2.91e-16 1.12e-01 0s 4 5.17165122e+01 5.09078718e+01 8.39e-05 3.33e-16 1.21e-02 0s 5 5.15047280e+01 5.14898371e+01 9.18e-07 2.36e-16 2.22e-04 0s 6 5.15000001e+01 5.14999999e+01 2.09e-11 4.44e-16 3.50e-09 0s 7 5.15000000e+01 5.15000000e+01 4.09e-14 1.72e-16 3.51e-15 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 5.15000000e+01 Root relaxation: objective 5.150000e+01, 6 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 51.50000 0 5 73.00000 51.50000 29.5% - 0s H 0 0 52.0000000 51.50000 0.96% - 0s Explored 0 nodes (7 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 5.200000000000e+01, best bound 5.200000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.00 seconds Total run time: 0.01 seconds Objective: 52 Solution: 5 x [1] 7 x [1, 10] 7 x [2, 8] 4 x [2, 9] 10 x [3, 6] 9 x [4, 5] 6 x [4, 6] 2 x [5, 6] 1 x [6, 7, 9] 1 x [7, 9]