Build (method = -2) #dp: 2118 Step-3' Graph: 106 vertices and 1036 arcs (0.01s) Step-4' Graph: 104 vertices and 1032 arcs (0.01s) #V4/#V3 = 0.98 #A4/#A3 = 1.00 Ready! (0.01s) Optimize a model with 139 rows, 1033 columns and 2895 nonzeros Presolve removed 24 rows and 24 columns Presolve time: 0.03s Presolved: 115 rows, 1009 columns, 2880 nonzeros Variable types: 0 continuous, 1009 integer (613 binary) Found heuristic solution: objective 28.0000000 Found heuristic solution: objective 25.0000000 Optimize a model with 115 rows, 1009 columns and 2880 nonzeros Presolved: 115 rows, 1009 columns, 2880 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.118e+03 Factor NZ : 4.791e+03 Factor Ops : 2.764e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.54148124e+03 -2.82609022e+03 3.11e+03 2.71e-01 1.76e+01 0s 1 3.94124598e+02 -1.45540723e+03 8.07e+02 8.88e-16 4.68e+00 0s 2 9.73890475e+01 -5.04003544e+02 8.65e+01 6.66e-16 6.57e-01 0s 3 3.91440792e+01 -6.63369719e+01 6.86e+00 4.44e-16 7.34e-02 0s 4 2.46921917e+01 -1.08300250e+01 1.29e+00 4.44e-16 2.04e-02 0s 5 2.06253560e+01 4.59182266e+00 4.69e-01 2.57e-16 8.60e-03 0s 6 1.95123082e+01 9.98248446e+00 3.48e-01 2.45e-16 5.02e-03 0s 7 1.82389167e+01 1.34672301e+01 1.93e-01 2.22e-16 2.46e-03 0s 8 1.70693507e+01 1.46639980e+01 4.97e-02 2.22e-16 1.21e-03 0s 9 1.67072286e+01 1.57282019e+01 1.82e-02 2.34e-16 4.88e-04 0s 10 1.64346829e+01 1.59443612e+01 2.46e-03 2.82e-16 2.43e-04 0s 11 1.63885639e+01 1.61254958e+01 1.52e-03 2.22e-16 1.30e-04 0s 12 1.63589430e+01 1.62102255e+01 9.00e-04 2.49e-16 7.35e-05 0s 13 1.63297707e+01 1.62502585e+01 3.58e-04 3.33e-16 3.93e-05 0s 14 1.63201414e+01 1.62688729e+01 2.11e-04 2.53e-16 2.53e-05 0s 15 1.63190706e+01 1.63032069e+01 5.32e-05 2.22e-16 7.84e-06 0s 16 1.63134386e+01 1.63122011e+01 8.70e-14 2.55e-16 6.11e-07 0s 17 1.63133334e+01 1.63133322e+01 3.55e-13 2.44e-16 6.11e-10 0s 18 1.63133333e+01 1.63133333e+01 4.07e-14 4.44e-16 6.11e-13 0s Barrier solved model in 18 iterations and 0.02 seconds Optimal objective 1.63133333e+01 Root relaxation: objective 1.631333e+01, 664 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 16.31333 0 43 25.00000 16.31333 34.7% - 0s H 0 0 18.0000000 16.31333 9.37% - 0s H 0 0 17.0000000 16.31333 4.04% - 0s Explored 0 nodes (1411 simplex iterations) in 0.10 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.700000000000e+01, best bound 1.700000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.10 seconds Total run time: 0.12 seconds Objective: 17 Solution: 1 x [15, 35] 1 x [5, 14, 35] 1 x [2, 18, 34] 1 x [6, 13, 34] 1 x [22, 33] 1 x [4, 19, 33] 1 x [24, 32] 1 x [2, 20, 32] 1 x [2, 25, 31] 1 x [4, 23, 31] 1 x [8, 15, 30] 1 x [4, 4, 12, 29] 1 x [9, 16, 28] 1 x [3, 7, 10, 27] 1 x [11, 17, 26] 1 x [1, 10, 22] 1 x [13, 18, 21]