Build (method = -2) #dp: 5403 Step-3' Graph: 177 vertices and 1881 arcs (0.03s) Step-4' Graph: 94 vertices and 1715 arcs (0.03s) #V4/#V3 = 0.53 #A4/#A3 = 0.91 Ready! (0.03s) Optimize a model with 177 rows, 1716 columns and 4965 nonzeros Presolve removed 9 rows and 19 columns Presolve time: 0.03s Presolved: 168 rows, 1697 columns, 4664 nonzeros Variable types: 0 continuous, 1697 integer (1186 binary) Found heuristic solution: objective 63.0000000 Optimize a model with 168 rows, 1697 columns and 4664 nonzeros Presolved: 168 rows, 1697 columns, 4664 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.582e+03 Factor NZ : 5.536e+03 Factor Ops : 2.630e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.32240569e+03 -1.35099578e+04 2.43e+04 2.86e-01 3.35e+01 0s 1 1.34180913e+03 -3.03832211e+03 4.43e+03 5.55e-16 6.08e+00 0s 2 1.98197860e+02 -6.65468168e+02 3.30e+02 6.66e-16 5.83e-01 0s 3 8.34997149e+01 -8.44746857e+01 3.09e+01 5.00e-16 7.30e-02 0s 4 5.27210529e+01 -8.60508739e+00 7.23e+00 3.54e-16 2.22e-02 0s 5 4.66694383e+01 1.95154120e+01 2.41e+00 3.33e-16 8.82e-03 0s 6 4.27489303e+01 3.25634744e+01 5.14e-01 3.56e-16 3.10e-03 0s 7 4.12743399e+01 3.67741002e+01 1.82e-01 4.44e-16 1.35e-03 0s 8 4.03782042e+01 3.94877398e+01 4.12e-02 2.87e-16 2.67e-04 0s 9 4.01438293e+01 3.97549421e+01 1.40e-02 3.33e-16 1.16e-04 0s 10 4.00523911e+01 3.99081271e+01 3.39e-03 3.36e-16 4.27e-05 0s 11 4.00141216e+01 3.99715053e+01 6.27e-04 2.42e-16 1.25e-05 0s 12 4.00023217e+01 3.99946943e+01 6.21e-05 3.45e-16 2.24e-06 0s 13 4.00000252e+01 3.99999510e+01 4.44e-07 2.34e-16 2.18e-08 0s 14 4.00000000e+01 4.00000000e+01 1.30e-12 3.33e-16 4.05e-14 0s Barrier solved model in 14 iterations and 0.02 seconds Optimal objective 4.00000000e+01 Root relaxation: objective 4.000000e+01, 251 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 40.00000 0 27 63.00000 40.00000 36.5% - 0s H 0 0 42.0000000 40.00000 4.76% - 0s H 0 0 41.0000000 40.00000 2.44% - 0s 0 0 40.00000 0 48 41.00000 40.00000 2.44% - 0s 0 0 40.00000 0 14 41.00000 40.00000 2.44% - 0s 0 0 40.00000 0 78 41.00000 40.00000 2.44% - 0s 0 0 40.00000 0 76 41.00000 40.00000 2.44% - 0s H 0 0 40.0000000 40.00000 0.0% - 0s Cutting planes: MIR: 1 Zero half: 1 Explored 0 nodes (1745 simplex iterations) in 0.22 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 4.000000000000e+01, best bound 4.000000000000e+01, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.22 seconds Total run time: 0.26 seconds Objective: 40 Solution: 1 x [73, 78, 82] 2 x [73, 79, 81] 1 x [1, 72, 78] 1 x [5, 63, 79] 1 x [5, 69, 82] 1 x [4, 69, 83] 1 x [9, 59, 79] 1 x [2, 15, 57] 1 x [6, 13, 57] 1 x [3, 28, 47] 1 x [6, 28, 46] 1 x [6, 31, 44] 1 x [35, 68, 82] 1 x [36, 42, 80] 1 x [1, 35, 41] 1 x [23, 24, 32] 1 x [2, 40, 76] 1 x [28, 29, 61] 1 x [48, 52, 82] 1 x [14, 39, 52] 1 x [17, 27, 38] 1 x [15, 25, 40] 1 x [22, 33, 37] 1 x [4, 19, 54] 1 x [18, 19, 45] 1 x [1, 55, 77] 1 x [7, 54, 67] 1 x [12, 60, 82] 1 x [11, 30, 58] 1 x [20, 21, 51] 1 x [8, 53, 60] 1 x [3, 16, 66] 1 x [16, 26, 49] 1 x [38, 38, 56] 1 x [14, 64, 75] 1 x [34, 49, 75] 1 x [10, 71, 74] 1 x [20, 65, 70] 1 x [43, 50, 62]