Build (method = -2) #dp: 2766 Step-3' Graph: 86 vertices and 248 arcs (0.02s) Step-4' Graph: 14 vertices and 104 arcs (0.02s) #V4/#V3 = 0.16 #A4/#A3 = 0.42 Ready! (0.02s) Optimize a model with 33 rows, 105 columns and 294 nonzeros Presolve removed 2 rows and 2 columns Presolve time: 0.00s Presolved: 31 rows, 103 columns, 290 nonzeros Variable types: 0 continuous, 103 integer (4 binary) Found heuristic solution: objective 198.0000000 Found heuristic solution: objective 180.0000000 Optimize a model with 31 rows, 103 columns and 290 nonzeros Presolved: 31 rows, 103 columns, 290 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.170e+02 Factor NZ : 3.250e+02 Factor Ops : 4.629e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.79065480e+02 -8.45921996e+02 3.43e+02 7.39e-02 2.68e+01 0s 1 1.79413564e+02 -4.22107342e+02 1.96e+01 5.55e-16 3.66e+00 0s 2 8.74635503e+01 -1.16839225e+01 1.69e-02 3.33e-16 4.46e-01 0s 3 5.26564921e+01 4.15803093e+01 5.44e-04 2.22e-16 4.95e-02 0s 4 5.00879388e+01 4.97006944e+01 3.31e-14 2.22e-16 1.73e-03 0s 5 5.00000636e+01 4.99999321e+01 4.30e-14 2.53e-16 5.87e-07 0s 6 5.00000000e+01 5.00000000e+01 1.17e-14 3.33e-16 5.98e-13 0s Barrier solved model in 6 iterations and 0.00 seconds Optimal objective 5.00000000e+01 Root relaxation: objective 5.000000e+01, 83 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time * 0 0 0 50.0000000 50.00000 0.0% - 0s Explored 0 nodes (83 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 5.000000000000e+01, best bound 5.000000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.00 seconds Total run time: 0.03 seconds Objective: 50 Solution: 2 x [2, 6, 7, 12] 9 x [3, 6, 7, 9] 2 x [3, 6, 7, 14] 6 x [2, 6, 10, 16] 15 x [7, 12, 18, 19] 1 x [1, 12, 15, 16] 2 x [10, 11, 16, 17] 7 x [1, 13, 14, 14] 2 x [4, 5, 10, 14] 2 x [4, 10, 14, 18] 2 x [8, 10, 10, 16]