Build (method = -2) #dp: 410 Step-3' Graph: 33 vertices and 128 arcs (0.00s) Step-4' Graph: 15 vertices and 92 arcs (0.00s) #V4/#V3 = 0.45 #A4/#A3 = 0.72 Ready! (0.00s) Optimize a model with 68 rows, 93 columns and 253 nonzeros Presolve removed 49 rows and 53 columns Presolve time: 0.00s Presolved: 19 rows, 40 columns, 98 nonzeros Variable types: 0 continuous, 40 integer (5 binary) Found heuristic solution: objective 90.0000000 Found heuristic solution: objective 76.0000000 Optimize a model with 19 rows, 40 columns and 98 nonzeros Presolved: 19 rows, 40 columns, 98 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.500e+01 Factor NZ : 1.900e+02 Factor Ops : 2.470e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.66581903e+02 -1.95539567e+02 2.48e+01 2.22e-16 1.24e+01 0s 1 1.10847686e+02 -8.29566531e+00 1.84e+00 8.88e-16 1.69e+00 0s 2 8.81819773e+01 5.25715400e+01 2.04e-02 6.66e-16 4.10e-01 0s 3 7.77253890e+01 7.11789475e+01 2.66e-15 4.44e-16 7.52e-02 0s 4 7.50866765e+01 7.44672351e+01 2.44e-15 6.66e-16 7.12e-03 0s 5 7.50005262e+01 7.49967697e+01 4.22e-15 8.88e-16 4.32e-05 0s 6 7.50000000e+01 7.50000000e+01 1.64e-14 6.66e-16 1.23e-10 0s Barrier solved model in 6 iterations and 0.00 seconds Optimal objective 7.50000000e+01 Root relaxation: objective 7.500000e+01, 17 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 75.00000 0 4 76.00000 75.00000 1.32% - 0s H 0 0 75.0000000 75.00000 0.0% - 0s Explored 0 nodes (22 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 7.500000000000e+01, best bound 7.500000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.00 seconds Total run time: 0.01 seconds Objective: 75 Solution: 2 x [53] 2 x [52] 2 x [51] 1 x [50] 2 x [49] 3 x [48] 3 x [47] 1 x [46] 3 x [45] 1 x [44] 1 x [43] 1 x [42] 1 x [41] 3 x [40] 1 x [39] 1 x [38] 3 x [37] 2 x [36] 1 x [35] 5 x [34] 2 x [33] 3 x [32] 1 x [31] 1 x [30] 3 x [29] 1 x [28] 1 x [3, 28] 1 x [2, 28] 1 x [1, 28] 1 x [4, 27] 2 x [5, 26] 1 x [4, 25] 1 x [6, 24] 2 x [7, 23] 3 x [8, 22] 1 x [9, 21] 2 x [7, 20] 2 x [6, 19] 1 x [10, 18] 1 x [14, 17] 1 x [15, 16] 1 x [4, 15] 1 x [6, 13] 1 x [11, 12] 1 x [8, 9]