Build (method = -2) #dp: 13669 Step-3' Graph: 165 vertices and 540 arcs (0.07s) Step-4' Graph: 80 vertices and 370 arcs (0.07s) #V4/#V3 = 0.48 #A4/#A3 = 0.69 Ready! (0.07s) Optimize a model with 99 rows, 371 columns and 962 nonzeros Presolve removed 18 rows and 35 columns Presolve time: 0.00s Presolved: 81 rows, 336 columns, 902 nonzeros Variable types: 0 continuous, 336 integer (0 binary) Found heuristic solution: objective 192.0000000 Found heuristic solution: objective 106.0000000 Optimize a model with 81 rows, 336 columns and 902 nonzeros Presolved: 81 rows, 336 columns, 902 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.950e+02 Factor NZ : 1.397e+03 Factor Ops : 2.756e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.90755117e+03 -6.15141017e+03 4.94e+03 1.11e-16 6.40e+01 0s 1 4.46036507e+02 -2.34910975e+03 6.34e+02 4.44e-16 9.77e+00 0s 2 1.69108673e+02 -7.07111200e+02 4.74e+01 7.77e-16 1.56e+00 0s 3 1.03472135e+02 -1.57563308e+02 5.16e+00 3.33e-16 3.91e-01 0s 4 4.41956411e+01 -2.08259799e+01 5.52e-01 2.22e-16 9.50e-02 0s 5 3.97252540e+01 7.10147761e-01 2.65e-01 3.33e-16 5.68e-02 0s 6 3.60843983e+01 2.60716681e+01 1.37e-01 2.73e-16 1.46e-02 0s 7 3.35097372e+01 3.27702856e+01 3.32e-04 2.22e-16 1.07e-03 0s 8 3.33335161e+01 3.33326435e+01 4.00e-14 3.26e-16 1.26e-06 0s 9 3.33333333e+01 3.33333333e+01 1.43e-13 4.44e-16 1.27e-12 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 3.33333333e+01 Root relaxation: objective 3.333333e+01, 228 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 33.33333 0 11 106.00000 33.33333 68.6% - 0s H 0 0 35.0000000 33.33333 4.76% - 0s H 0 0 34.0000000 33.33333 1.96% - 0s Explored 0 nodes (287 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 3.400000000000e+01, best bound 3.400000000000e+01, gap 0.0% Preprocessing time: 0.08 seconds Gurobi run time: 0.02 seconds Total run time: 0.09 seconds Objective: 34 Solution: 3 x [2, 3, 5, 7, 9, 18] 1 x [2, 7, 8, 9, 13] 6 x [1, 2, 11, 12, 16, 17] 11 x [2, 2, 6, 14, 15, 19] 1 x [1, 2, 2, 11, 13] 1 x [5, 6, 14, 19, 19] 5 x [8, 8, 10, 12, 14, 19] 2 x [1, 4, 5, 7, 9, 18] 3 x [1, 1, 9, 11, 11, 11] 1 x [9, 11, 12, 16, 17]