Build (method = -2) #dp: 7830 Step-3' Graph: 300 vertices and 892 arcs (0.07s) Step-4' Graph: 89 vertices and 470 arcs (0.08s) #V4/#V3 = 0.30 #A4/#A3 = 0.53 Ready! (0.08s) Optimize a model with 133 rows, 471 columns and 1240 nonzeros Presolve removed 24 rows and 47 columns Presolve time: 0.01s Presolved: 109 rows, 424 columns, 1148 nonzeros Variable types: 0 continuous, 424 integer (68 binary) Found heuristic solution: objective 83.0000000 Optimize a model with 109 rows, 424 columns and 1148 nonzeros Presolved: 109 rows, 424 columns, 1148 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.220e+02 Factor NZ : 1.040e+03 Factor Ops : 1.329e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.16557381e+02 -1.25388958e+03 4.77e+02 9.98e-02 6.48e+00 0s 1 1.61266367e+02 -4.84697073e+02 4.79e+01 5.55e-16 1.10e+00 0s 2 6.21216754e+01 -1.07495239e+02 7.98e-01 1.33e-15 1.97e-01 0s 3 2.68149732e+01 -2.53448327e+01 5.52e-02 1.11e-15 5.96e-02 0s 4 2.12246327e+01 1.30367682e+01 9.14e-03 5.27e-16 9.33e-03 0s 5 2.00403067e+01 1.98692142e+01 1.60e-05 5.55e-16 1.95e-04 0s 6 2.00000005e+01 1.99999981e+01 3.18e-10 4.23e-16 2.65e-09 0s 7 2.00000000e+01 2.00000000e+01 4.28e-13 5.55e-16 2.75e-15 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 2.00000000e+01 Root relaxation: objective 2.000000e+01, 285 iterations, 0.01 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 (285 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: 0.08 seconds Gurobi run time: 0.02 seconds Total run time: 0.10 seconds Objective: 20 Solution: 2 x [3, 8, 24, 25, 44] 3 x [14, 25, 35, 41, 43] 1 x [14, 18, 34, 40, 43] 1 x [14, 17, 33, 38, 42] 1 x [15, 27, 39, 39, 39] 1 x [2, 12, 28, 36, 38] 3 x [4, 23, 26, 29, 37] 1 x [9, 20, 28, 35, 36] 1 x [13, 22, 27, 28, 33] 2 x [1, 15, 16, 21, 32] 1 x [5, 8, 13, 19, 31] 1 x [6, 11, 13, 17, 30] 2 x [6, 7, 10, 13, 21]