Build (method = -2) #dp: 8141 Step-3' Graph: 314 vertices and 933 arcs (0.06s) Step-4' Graph: 89 vertices and 483 arcs (0.06s) #V4/#V3 = 0.28 #A4/#A3 = 0.52 Ready! (0.06s) Optimize a model with 136 rows, 484 columns and 1280 nonzeros Presolve removed 24 rows and 45 columns Presolve time: 0.01s Presolved: 112 rows, 439 columns, 1193 nonzeros Variable types: 0 continuous, 439 integer (83 binary) Found heuristic solution: objective 80.0000000 Found heuristic solution: objective 63.0000000 Optimize a model with 112 rows, 439 columns and 1193 nonzeros Presolved: 112 rows, 439 columns, 1193 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.380e+02 Factor NZ : 1.112e+03 Factor Ops : 1.489e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.61673384e+02 -1.04313824e+03 5.39e+02 9.91e-02 6.43e+00 0s 1 1.30015534e+02 -4.66326448e+02 3.35e+01 4.44e-16 9.02e-01 0s 2 6.00415921e+01 -7.48643104e+01 1.64e+00 3.89e-16 1.54e-01 0s 3 2.56227789e+01 -9.95685483e+00 1.23e-01 4.44e-16 3.95e-02 0s 4 2.05217008e+01 1.68296246e+01 5.46e-04 4.44e-16 4.07e-03 0s 5 2.00053547e+01 1.99778580e+01 7.93e-07 2.65e-16 3.03e-05 0s 6 2.00000000e+01 2.00000000e+01 1.03e-12 2.95e-16 4.44e-11 0s Barrier solved model in 6 iterations and 0.00 seconds Optimal objective 2.00000000e+01 Root relaxation: objective 2.000000e+01, 295 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 20.00000 0 9 63.00000 20.00000 68.3% - 0s H 0 0 21.0000000 20.00000 4.76% - 0s * 0 0 0 20.0000000 20.00000 0.0% - 0s Cutting planes: Gomory: 2 MIR: 2 Zero half: 2 Explored 0 nodes (356 simplex iterations) in 0.02 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: 0.07 seconds Gurobi run time: 0.02 seconds Total run time: 0.09 seconds Objective: 20 Solution: 1 x [32, 34, 37, 45, 47] 2 x [6, 10, 35, 44, 46] 1 x [33, 43, 43, 43, 43] 1 x [3, 4, 7, 22, 42] 1 x [2, 3, 20, 21, 42] 2 x [13, 14, 15, 36, 41] 3 x [4, 9, 30, 35, 40] 1 x [18, 18, 18, 18, 39] 1 x [17, 23, 25, 31, 38] 3 x [1, 19, 26, 29, 33] 1 x [5, 8, 11, 28, 30] 2 x [12, 16, 23, 24, 27] 1 x [3, 16, 21, 21, 26]