Build (method = -2) #dp: 1825 Step-3' Graph: 72 vertices and 317 arcs (0.01s) Step-4' Graph: 36 vertices and 245 arcs (0.01s) #V4/#V3 = 0.50 #A4/#A3 = 0.77 Ready! (0.01s) Optimize a model with 68 rows, 246 columns and 672 nonzeros Presolve removed 13 rows and 14 columns Presolve time: 0.00s Presolved: 55 rows, 232 columns, 634 nonzeros Variable types: 0 continuous, 232 integer (124 binary) Found heuristic solution: objective 30.0000000 Optimize a model with 55 rows, 232 columns and 634 nonzeros Presolved: 55 rows, 232 columns, 634 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.880e+02 Factor NZ : 8.950e+02 Factor Ops : 1.739e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 8.31632161e+02 -1.06353412e+03 9.78e+02 2.02e-01 1.70e+01 0s 1 1.84520043e+02 -2.92060255e+02 1.49e+02 5.55e-16 2.72e+00 0s 2 4.85210820e+01 -7.29672416e+01 1.05e+01 1.33e-15 3.50e-01 0s 3 2.51854466e+01 -6.33948685e+00 2.70e-01 4.72e-16 6.79e-02 0s 4 2.03483643e+01 7.20728313e+00 8.44e-02 6.38e-16 2.79e-02 0s 5 1.74617490e+01 1.30708874e+01 1.99e-02 4.86e-16 9.29e-03 0s 6 1.67983621e+01 1.60042233e+01 6.68e-03 4.93e-16 1.68e-03 0s 7 1.66686434e+01 1.66631982e+01 2.09e-05 5.55e-16 1.15e-05 0s 8 1.66666686e+01 1.66666632e+01 7.92e-14 9.99e-16 1.15e-08 0s 9 1.66666667e+01 1.66666667e+01 9.95e-14 8.88e-16 1.16e-14 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.66666667e+01 Root relaxation: objective 1.666667e+01, 161 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 30.00000 16.66667 44.4% - 0s H 0 0 17.0000000 16.66667 1.96% - 0s Explored 0 nodes (247 simplex iterations) in 0.02 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: 0.02 seconds Gurobi run time: 0.02 seconds Total run time: 0.03 seconds Objective: 17 Solution: 1 x [3, 14, 32] 1 x [1, 6, 32] 1 x [2, 4, 32] 1 x [1, 19, 31] 1 x [7, 11, 31] 1 x [10, 11, 30] 1 x [5, 18, 29] 2 x [8, 15, 28] 1 x [1, 22, 27] 1 x [3, 22, 26] 1 x [12, 12, 26] 1 x [8, 17, 25] 1 x [9, 16, 24] 1 x [7, 13, 23] 1 x [12, 16, 21] 1 x [16, 20]