Build (method = -2) #dp: 8700 Step-3' Graph: 1581 vertices and 4736 arcs (0.07s) Step-4' Graph: 737 vertices and 3048 arcs (0.08s) #V4/#V3 = 0.47 #A4/#A3 = 0.64 Ready! (0.08s) Optimize a model with 777 rows, 3049 columns and 7677 nonzeros Presolve removed 158 rows and 268 columns Presolve time: 0.05s Presolved: 619 rows, 2781 columns, 7630 nonzeros Variable types: 0 continuous, 2781 integer (157 binary) Found heuristic solution: objective 272.0000000 Found heuristic solution: objective 245.0000000 Found heuristic solution: objective 235.0000000 Optimize a model with 619 rows, 2781 columns and 7630 nonzeros Presolve removed 5 rows and 5 columns Presolved: 614 rows, 2776 columns, 7656 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 5.071e+03 Factor NZ : 2.740e+04 (roughly 2 MBytes of memory) Factor Ops : 2.264e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.93962012e+03 -5.52852190e+04 7.92e+04 1.09e-01 1.64e+02 0s 1 1.10082904e+03 -3.27315802e+04 1.07e+04 6.66e-16 2.55e+01 0s 2 5.40961669e+02 -1.30957486e+04 1.95e+03 7.77e-16 5.56e+00 0s 3 3.36203976e+02 -3.32269466e+03 3.20e+02 4.00e-15 1.09e+00 0s 4 2.94604110e+02 -1.31838398e+03 7.29e+01 3.11e-15 3.67e-01 0s 5 2.67134844e+02 -8.66273111e+02 2.17e+01 2.78e-15 2.22e-01 0s 6 2.40667675e+02 -6.11002293e+02 9.66e+00 2.00e-15 1.60e-01 0s 7 2.13200588e+02 -3.76132527e+02 4.45e+00 1.44e-15 1.09e-01 0s 8 1.91922048e+02 -1.47048300e+02 1.24e+00 8.88e-16 6.14e-02 0s 9 1.74021404e+02 -4.94427797e+01 6.11e-01 6.66e-16 4.03e-02 0s 10 1.65313168e+02 1.97439751e+01 3.97e-01 5.43e-16 2.63e-02 0s 11 1.58551121e+02 6.01221767e+01 2.32e-01 6.66e-16 1.77e-02 0s 12 1.54282589e+02 8.53638256e+01 1.38e-01 5.55e-16 1.24e-02 0s 13 1.50793185e+02 1.27319881e+02 6.60e-02 4.12e-16 4.22e-03 0s 14 1.48360970e+02 1.34937180e+02 2.35e-02 4.74e-16 2.41e-03 0s 15 1.47486487e+02 1.41920509e+02 1.25e-02 4.44e-16 1.00e-03 0s 16 1.47274116e+02 1.42632801e+02 1.00e-02 4.44e-16 8.34e-04 0s 17 1.46834008e+02 1.43287158e+02 4.82e-03 5.35e-16 6.37e-04 0s 18 1.46597550e+02 1.44921695e+02 2.27e-03 4.44e-16 3.01e-04 0s 19 1.46522923e+02 1.45258316e+02 1.66e-03 4.00e-16 2.27e-04 0s 20 1.46386638e+02 1.45455345e+02 9.19e-04 5.50e-16 1.67e-04 0s 21 1.46266016e+02 1.46012126e+02 1.32e-04 4.44e-16 4.56e-05 0s 22 1.46235022e+02 1.46210996e+02 1.14e-06 5.26e-16 4.31e-06 0s 23 1.46230772e+02 1.46230739e+02 3.40e-10 4.44e-16 5.99e-09 0s 24 1.46230769e+02 1.46230769e+02 8.24e-13 4.87e-16 6.09e-15 0s Barrier solved model in 24 iterations and 0.11 seconds Optimal objective 1.46230769e+02 Root relaxation: objective 1.462308e+02, 539 iterations, 0.12 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 146.23077 0 50 235.00000 146.23077 37.8% - 0s H 0 0 147.0000000 146.23077 0.52% - 0s Explored 0 nodes (1194 simplex iterations) in 0.31 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.470000000000e+02, best bound 1.470000000000e+02, gap 0.0% Preprocessing time: 0.10 seconds Gurobi run time: 0.31 seconds Total run time: 0.40 seconds Objective: 147 Solution: 20 x [1, 27] 5 x [2, 28] 1 x [2, 34, 38, 40] 5 x [2, 35, 37, 38] 1 x [2, 38, 40] 2 x [3, 25] 2 x [4, 23] 2 x [4, 24] 6 x [4, 25] 4 x [4, 28, 37] 6 x [5, 22] 5 x [5, 29, 34] 16 x [6, 30, 32] 5 x [7, 21] 1 x [8, 21] 1 x [8, 26] 4 x [9, 21, 39] 9 x [9, 26, 34] 2 x [9, 28, 32] 3 x [10, 28, 33, 37] 1 x [11, 14] 1 x [11, 15] 6 x [11, 18, 37] 4 x [11, 25, 31] 8 x [12, 20, 33] 1 x [13, 15, 36, 40] 1 x [13, 17] 2 x [13, 20] 2 x [13, 20, 30] 3 x [13, 20, 31] 1 x [13, 21, 33] 1 x [13, 21, 33, 37] 3 x [13, 21, 33, 38] 3 x [15, 19, 28] 5 x [15, 22, 25] 5 x [16, 21, 26]