Build (method = -2) #dp: 2951 Step-3' Graph: 39 vertices and 390 arcs (0.02s) Step-4' Graph: 20 vertices and 352 arcs (0.02s) #V4/#V3 = 0.51 #A4/#A3 = 0.90 Ready! (0.02s) Optimize a model with 80 rows, 353 columns and 1026 nonzeros Presolve removed 3 rows and 3 columns Presolve time: 0.00s Presolved: 77 rows, 350 columns, 1019 nonzeros Variable types: 0 continuous, 350 integer (25 binary) Found heuristic solution: objective 320.0000000 Found heuristic solution: objective 319.0000000 Optimize a model with 77 rows, 350 columns and 1019 nonzeros Presolved: 77 rows, 350 columns, 1019 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.610e+02 Factor NZ : 1.030e+03 Factor Ops : 2.027e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.57033875e+03 -5.01947028e+03 1.84e+03 6.64e-02 7.10e+01 0s 1 1.30532903e+03 -2.04609068e+03 2.45e+02 6.66e-16 1.13e+01 0s 2 2.97208338e+02 -7.71946384e+02 1.08e+01 1.11e-15 1.62e+00 0s 3 1.35631204e+02 -4.15061630e+01 1.82e-13 3.33e-16 2.35e-01 0s 4 9.27500170e+01 5.81826414e+01 3.29e-14 3.33e-16 4.59e-02 0s 5 8.44320869e+01 8.18618770e+01 2.48e-13 2.22e-16 3.41e-03 0s 6 8.40006952e+01 8.39981735e+01 8.84e-14 3.33e-16 3.35e-06 0s 7 8.40000000e+01 8.40000000e+01 1.08e-13 3.33e-16 3.35e-12 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 8.40000000e+01 Root relaxation: objective 8.400000e+01, 282 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 84.00000 0 10 319.00000 84.00000 73.7% - 0s H 0 0 85.0000000 84.00000 1.18% - 0s H 0 0 84.0000000 84.00000 0.0% - 0s Explored 0 nodes (395 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.400000000000e+01, best bound 8.400000000000e+01, gap 0.0% Preprocessing time: 0.03 seconds Gurobi run time: 0.02 seconds Total run time: 0.05 seconds Objective: 84 Solution: 1 x [2, 21, 21, 52] 10 x [6, 18, 38, 39] 3 x [21, 30, 35, 55] 6 x [13, 22, 30, 42] 1 x [20, 21, 44, 57] 1 x [1, 45, 50, 60] 4 x [12, 23, 50, 53] 1 x [8, 14, 43, 45] 4 x [4, 14, 29, 37] 1 x [4, 7, 11, 21] 1 x [9, 11, 47, 54] 5 x [15, 36, 54, 59] 3 x [8, 27, 40, 46] 5 x [8, 9, 40, 47] 2 x [15, 31, 36, 60] 1 x [9, 11, 23, 27] 1 x [2, 11, 13, 21] 4 x [12, 14, 24, 34] 3 x [5, 13, 23, 49] 1 x [11, 12, 23, 23] 1 x [29, 43, 56, 58] 1 x [28, 33, 42, 59] 3 x [3, 16, 28, 41] 1 x [7, 11, 21, 59] 6 x [1, 7, 10, 17] 1 x [25, 25, 44, 57] 1 x [16, 17, 34, 48] 5 x [5, 19, 26, 51] 1 x [32, 42, 49, 51] 6 x [3, 16, 43, 53]