Build (method = -2) #dp: 751 Step-3' Graph: 56 vertices and 157 arcs (0.00s) Step-4' Graph: 11 vertices and 67 arcs (0.00s) #V4/#V3 = 0.20 #A4/#A3 = 0.43 Ready! (0.00s) Optimize a model with 21 rows, 68 columns and 190 nonzeros Presolve removed 4 rows and 6 columns Presolve time: 0.00s Presolved: 17 rows, 62 columns, 178 nonzeros Variable types: 0 continuous, 62 integer (5 binary) Found heuristic solution: objective 98.0000000 Found heuristic solution: objective 73.0000000 Optimize a model with 17 rows, 62 columns and 178 nonzeros Presolved: 17 rows, 62 columns, 178 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.800e+01 Factor NZ : 1.530e+02 Factor Ops : 1.785e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.51873214e+02 -5.97876244e+02 2.07e+02 6.82e-02 3.10e+01 0s 1 1.05082975e+02 -2.97158811e+02 1.66e+01 3.33e-16 4.44e+00 0s 2 4.23570948e+01 -2.36864837e+01 3.91e-14 4.44e-16 4.98e-01 0s 3 2.17005090e+01 1.33148225e+01 1.47e-14 2.22e-16 6.31e-02 0s 4 2.01540927e+01 1.97626296e+01 7.24e-15 2.65e-16 2.94e-03 0s 5 2.00001481e+01 1.99994626e+01 2.38e-14 2.22e-16 5.15e-06 0s 6 2.00000000e+01 2.00000000e+01 1.20e-14 2.22e-16 5.19e-12 0s Barrier solved model in 6 iterations and 0.00 seconds Optimal objective 2.00000000e+01 Root relaxation: objective 2.000000e+01, 51 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time * 0 0 0 20.0000000 20.00000 0.0% - 0s Explored 0 nodes (51 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.000000000000e+01, best bound 2.000000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.00 seconds Total run time: 0.01 seconds Objective: 20 Solution: 2 x [2, 5, 6, 8, 9] 7 x [2, 4, 6, 9, 10] 5 x [2, 6, 7, 8, 9] 1 x [3, 5, 7, 9, 10] 5 x [1, 4, 6, 7, 9]