Build (method = -2) #dp: 1400 Step-3' Graph: 88 vertices and 280 arcs (0.01s) Step-4' Graph: 43 vertices and 190 arcs (0.01s) #V4/#V3 = 0.49 #A4/#A3 = 0.68 Ready! (0.01s) Optimize a model with 53 rows, 191 columns and 496 nonzeros Presolve removed 11 rows and 20 columns Presolve time: 0.00s Presolved: 42 rows, 171 columns, 462 nonzeros Variable types: 0 continuous, 171 integer (6 binary) Found heuristic solution: objective 86.0000000 Found heuristic solution: objective 71.0000000 Optimize a model with 42 rows, 171 columns and 462 nonzeros Presolved: 42 rows, 171 columns, 462 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.440e+02 Factor NZ : 6.870e+02 Factor Ops : 1.370e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.03402586e+03 -2.59192106e+03 2.60e+03 1.62e-01 6.52e+01 0s 1 2.92026962e+02 -1.29996193e+03 4.59e+02 4.44e-16 1.25e+01 0s 2 9.50712495e+01 -4.16691371e+02 3.64e+01 5.55e-16 1.88e+00 0s 3 4.61699709e+01 -9.46225358e+01 6.01e-02 2.22e-16 4.01e-01 0s 4 2.09857244e+01 -6.66487996e+00 3.04e-03 2.22e-16 7.88e-02 0s 5 1.89657573e+01 5.60709306e+00 1.86e-03 2.22e-16 3.81e-02 0s 6 1.75835455e+01 1.47955683e+01 5.35e-04 3.33e-16 7.94e-03 0s 7 1.66718166e+01 1.66285342e+01 1.60e-14 2.66e-16 1.23e-04 0s 8 1.66666718e+01 1.66666286e+01 3.52e-14 2.22e-16 1.23e-07 0s 9 1.66666667e+01 1.66666667e+01 4.87e-14 2.22e-16 2.04e-13 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.66666667e+01 Root relaxation: objective 1.666667e+01, 111 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 71.00000 16.66667 76.5% - 0s H 0 0 17.0000000 16.66667 1.96% - 0s Explored 0 nodes (163 simplex iterations) in 0.01 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: 0.01 seconds Total run time: 0.02 seconds Objective: 17 Solution: 1 x [2, 4, 6, 8] 2 x [2, 5, 6, 6, 8, 8] 5 x [1, 2, 2, 3, 7, 9] 1 x [3, 5, 7, 8, 8, 9] 4 x [1, 3, 5, 7, 9, 10] 4 x [5, 6, 6, 7, 8, 9]