Build (method = -2) #dp: 2704 Step-3' Graph: 80 vertices and 492 arcs (0.01s) Step-4' Graph: 54 vertices and 440 arcs (0.01s) #V4/#V3 = 0.68 #A4/#A3 = 0.89 Ready! (0.01s) Optimize a model with 110 rows, 441 columns and 1219 nonzeros Presolve removed 35 rows and 41 columns Presolve time: 0.01s Presolved: 75 rows, 400 columns, 1110 nonzeros Variable types: 0 continuous, 400 integer (176 binary) Found heuristic solution: objective 85.0000000 Found heuristic solution: objective 69.0000000 Optimize a model with 75 rows, 400 columns and 1110 nonzeros Presolved: 75 rows, 400 columns, 1110 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 7.410e+02 Factor NZ : 1.578e+03 Factor Ops : 3.882e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.24310542e+03 -3.96000106e+03 2.61e+03 2.40e-01 4.43e+01 0s 1 4.03944454e+02 -1.09568718e+03 4.30e+02 6.66e-16 7.39e+00 0s 2 1.19244975e+02 -3.09019122e+02 3.42e+01 9.99e-16 8.99e-01 0s 3 7.64755624e+01 -4.06670613e+01 3.47e+00 5.55e-16 1.66e-01 0s 4 6.48461127e+01 1.76212146e+01 7.20e-01 2.22e-16 6.04e-02 0s 5 5.82572575e+01 3.65982206e+01 2.80e-01 6.66e-16 2.71e-02 0s 6 5.45762336e+01 4.40980582e+01 9.50e-02 4.44e-16 1.30e-02 0s 7 5.27212966e+01 4.81775955e+01 3.72e-02 3.33e-16 5.62e-03 0s 8 5.16358238e+01 4.99848606e+01 7.70e-03 2.22e-16 2.04e-03 0s 9 5.13787154e+01 5.08801519e+01 2.78e-03 2.22e-16 6.15e-04 0s 10 5.12618320e+01 5.12107236e+01 9.33e-05 4.44e-16 6.29e-05 0s 11 5.12500594e+01 5.12498693e+01 3.20e-14 2.22e-16 2.34e-07 0s 12 5.12500001e+01 5.12499999e+01 1.69e-14 4.44e-16 2.34e-10 0s 13 5.12500000e+01 5.12500000e+01 3.20e-14 2.22e-16 2.69e-16 0s Barrier solved model in 13 iterations and 0.00 seconds Optimal objective 5.12500000e+01 Root relaxation: objective 5.125000e+01, 149 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 51.25000 0 12 69.00000 51.25000 25.7% - 0s H 0 0 53.0000000 51.25000 3.30% - 0s 0 0 51.35294 0 36 53.00000 51.35294 3.11% - 0s H 0 0 52.0000000 51.35294 1.24% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (230 simplex iterations) in 0.03 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 5.200000000000e+01, best bound 5.200000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.03 seconds Total run time: 0.05 seconds Objective: 52 Solution: 4 x [56] 3 x [55] 1 x [3, 54] 1 x [4, 53] 1 x [1, 2, 52] 1 x [5, 51] 1 x [3, 51] 1 x [6, 50] 1 x [7, 49] 1 x [6, 48] 1 x [7, 47] 2 x [10, 46] 1 x [12, 45] 1 x [12, 44] 1 x [11, 44] 1 x [13, 43] 2 x [14, 42] 1 x [15, 41] 2 x [16, 40] 1 x [9, 40] 1 x [16, 39] 1 x [7, 10, 38] 1 x [17, 37] 1 x [18, 36] 2 x [19, 35] 3 x [21, 34] 1 x [20, 34] 1 x [22, 33] 1 x [20, 32] 2 x [23, 31] 1 x [23, 30] 1 x [24, 29] 2 x [23, 29] 1 x [25, 28] 1 x [6, 18, 28] 1 x [26, 27] 2 x [26, 26] 1 x [8, 14]