Build (method = -2) #dp: 2272 Step-3' Graph: 75 vertices and 384 arcs (0.01s) Step-4' Graph: 43 vertices and 320 arcs (0.01s) #V4/#V3 = 0.57 #A4/#A3 = 0.83 Ready! (0.01s) Optimize a model with 86 rows, 321 columns and 881 nonzeros Presolve removed 26 rows and 26 columns Presolve time: 0.00s Presolved: 60 rows, 295 columns, 827 nonzeros Variable types: 0 continuous, 295 integer (218 binary) Found heuristic solution: objective 29.0000000 Found heuristic solution: objective 28.0000000 Optimize a model with 60 rows, 295 columns and 827 nonzeros Presolved: 60 rows, 295 columns, 827 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.330e+02 Factor NZ : 1.396e+03 Factor Ops : 3.868e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 6.16576895e+02 -1.32514578e+03 1.01e+03 2.44e-01 1.56e+01 0s 1 1.61779174e+02 -3.82152761e+02 1.88e+02 8.88e-16 2.95e+00 0s 2 4.36000878e+01 -6.94996621e+01 1.59e+01 6.66e-16 3.41e-01 0s 3 2.74537793e+01 4.44930487e-01 1.04e+00 8.88e-16 5.19e-02 0s 4 2.39055974e+01 1.54763622e+01 1.71e-01 4.44e-16 1.46e-02 0s 5 2.28436537e+01 1.76872892e+01 9.08e-02 6.38e-16 8.88e-03 0s 6 2.15802244e+01 1.89706862e+01 3.88e-02 7.77e-16 4.48e-03 0s 7 2.07847501e+01 1.97270232e+01 1.03e-02 1.11e-15 1.80e-03 0s 8 2.05259552e+01 2.03872155e+01 1.70e-03 1.11e-15 2.38e-04 0s 9 2.05005661e+01 2.04989903e+01 5.90e-05 8.88e-16 2.79e-06 0s 10 2.05000006e+01 2.04999990e+01 9.23e-14 1.11e-15 2.79e-09 0s 11 2.05000000e+01 2.05000000e+01 7.85e-14 8.88e-16 2.79e-12 0s Barrier solved model in 11 iterations and 0.00 seconds Optimal objective 2.05000000e+01 Root relaxation: objective 2.050000e+01, 113 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 20.50000 0 2 28.00000 20.50000 26.8% - 0s H 0 0 21.0000000 20.50000 2.38% - 0s Explored 0 nodes (172 simplex iterations) in 0.01 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.100000000000e+01, best bound 2.100000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.01 seconds Total run time: 0.03 seconds Objective: 21 Solution: 1 x [11, 43] 1 x [6, 6, 42] 1 x [14, 41] 1 x [13, 41] 1 x [15, 40] 1 x [7, 39] 1 x [3, 18, 38] 1 x [8, 16, 37] 1 x [5, 17, 36] 1 x [10, 12, 36] 1 x [19, 35] 1 x [9, 15, 35] 1 x [22, 34] 1 x [21, 34] 1 x [2, 20, 33] 1 x [23, 32] 1 x [25, 31] 1 x [1, 24, 31] 1 x [27, 30] 1 x [29] 1 x [4, 26, 28]