Build (method = -2) #dp: 2520 Step-3' Graph: 83 vertices and 378 arcs (0.01s) Step-4' Graph: 42 vertices and 296 arcs (0.01s) #V4/#V3 = 0.51 #A4/#A3 = 0.78 Ready! (0.01s) Optimize a model with 82 rows, 297 columns and 812 nonzeros Presolve removed 17 rows and 18 columns Presolve time: 0.01s Presolved: 65 rows, 279 columns, 769 nonzeros Variable types: 0 continuous, 279 integer (179 binary) Found heuristic solution: objective 25.0000000 Found heuristic solution: objective 24.0000000 Optimize a model with 65 rows, 279 columns and 769 nonzeros Presolved: 65 rows, 279 columns, 769 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.180e+02 Factor NZ : 1.322e+03 Factor Ops : 3.466e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.14195532e+03 -1.47064076e+03 1.00e+03 2.07e-01 1.81e+01 0s 1 2.41757969e+02 -3.33984095e+02 1.58e+02 4.44e-16 2.87e+00 0s 2 5.25540809e+01 -8.86992997e+01 1.20e+01 4.44e-16 3.67e-01 0s 3 2.55600953e+01 -1.36052429e+01 4.52e-01 2.78e-16 7.19e-02 0s 4 2.18204941e+01 4.04911471e+00 1.63e-01 2.22e-16 3.18e-02 0s 5 1.97801909e+01 1.02028480e+01 8.11e-02 4.44e-16 1.70e-02 0s 6 1.72158822e+01 1.32019737e+01 1.53e-02 2.22e-16 7.11e-03 0s 7 1.67723208e+01 1.63919537e+01 4.05e-03 3.33e-16 6.72e-04 0s 8 1.66668009e+01 1.66662922e+01 9.80e-14 2.22e-16 9.00e-07 0s 9 1.66666667e+01 1.66666667e+01 8.38e-14 4.44e-16 9.05e-13 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.66666667e+01 Root relaxation: objective 1.666667e+01, 192 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 20 24.00000 16.66667 30.6% - 0s H 0 0 21.0000000 16.66667 20.6% - 0s H 0 0 17.0000000 16.66667 1.96% - 0s Explored 0 nodes (309 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: 0.04 seconds Objective: 17 Solution: 1 x [5, 8, 40] 1 x [2, 4, 39] 1 x [10, 15, 38] 1 x [11, 17, 37] 1 x [6, 18, 36] 1 x [9, 14, 35] 1 x [2, 22, 34] 1 x [3, 23, 33] 1 x [7, 18, 32] 1 x [1, 19, 31] 1 x [1, 21, 30] 1 x [16, 17, 29] 1 x [25, 28] 1 x [2, 26, 27] 1 x [3, 24, 27] 1 x [12, 18, 25] 1 x [13, 17, 20]