Build (method = -2) #dp: 34082 Step-3' Graph: 984 vertices and 6926 arcs (0.21s) Step-4' Graph: 926 vertices and 6811 arcs (0.22s) #V4/#V3 = 0.94 #A4/#A3 = 0.98 Ready! (0.22s) Optimize a model with 945 rows, 6812 columns and 18595 nonzeros Presolve removed 123 rows and 232 columns Presolve time: 0.09s Presolved: 822 rows, 6580 columns, 18364 nonzeros Variable types: 0 continuous, 6580 integer (0 binary) Found heuristic solution: objective 194.0000000 Found heuristic solution: objective 169.0000000 Optimize a model with 822 rows, 6580 columns and 18364 nonzeros Presolved: 822 rows, 6580 columns, 18364 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 1.148e+04 Factor NZ : 7.595e+04 (roughly 4 MBytes of memory) Factor Ops : 1.120e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.46578941e+03 -1.67102012e+05 1.64e+05 1.11e-16 1.56e+02 0s 1 8.93412344e+02 -9.44799851e+04 2.49e+04 1.33e-15 2.74e+01 0s 2 4.51218153e+02 -4.19346356e+04 7.16e+03 3.55e-15 8.32e+00 0s 3 2.96556287e+02 -1.66692603e+04 2.74e+03 6.22e-14 3.01e+00 0s 4 2.12675090e+02 -6.13176729e+03 3.66e+02 8.88e-15 6.82e-01 0s 5 2.01661682e+02 -2.13632620e+03 5.91e+01 9.33e-15 2.01e-01 0s 6 1.99143259e+02 -3.64710470e+02 2.91e-01 4.00e-15 4.28e-02 0s 7 1.68053827e+02 -2.91473347e+02 4.11e-04 2.89e-15 3.49e-02 0s 8 1.18572361e+02 -1.47520307e+02 1.60e-04 1.55e-15 2.02e-02 0s 9 1.08679085e+02 -1.25220389e+02 1.42e-04 1.72e-15 1.77e-02 0s 10 7.94905058e+01 -6.82547500e+01 9.37e-05 1.38e-15 1.12e-02 0s 11 5.80493603e+01 -3.89995707e+01 6.61e-05 1.41e-15 7.36e-03 0s 12 4.18300482e+01 -1.92521461e+01 4.34e-05 1.36e-15 4.63e-03 0s 13 3.89192366e+01 -1.33498735e+01 3.75e-05 1.75e-15 3.97e-03 0s 14 3.21379667e+01 -1.89472059e+00 2.60e-05 1.54e-15 2.58e-03 0s 15 2.97691163e+01 3.87295001e+00 2.18e-05 1.51e-15 1.96e-03 0s 16 2.77109336e+01 8.27467616e+00 1.75e-05 1.70e-15 1.47e-03 0s 17 2.54254823e+01 1.32308456e+01 1.16e-05 1.52e-15 9.25e-04 0s 18 2.47748661e+01 1.65191170e+01 9.01e-06 1.53e-15 6.26e-04 0s 19 2.38493757e+01 1.92278474e+01 5.89e-06 1.32e-15 3.51e-04 0s 20 2.33318446e+01 2.05185036e+01 3.95e-06 1.31e-15 2.13e-04 0s 21 2.25826124e+01 2.15280728e+01 7.67e-07 1.42e-15 8.00e-05 0s 22 2.23983498e+01 2.19799017e+01 1.66e-07 1.14e-15 3.18e-05 0s 23 2.23493338e+01 2.21518119e+01 6.68e-08 1.19e-15 1.50e-05 0s 24 2.23332292e+01 2.22189015e+01 4.22e-08 1.16e-15 8.67e-06 0s 25 2.23270047e+01 2.22299976e+01 3.43e-08 1.77e-15 7.36e-06 0s 26 2.23197260e+01 2.22393210e+01 2.50e-08 1.71e-15 6.10e-06 0s 27 2.23102350e+01 2.22684311e+01 1.29e-08 1.46e-15 3.17e-06 0s 28 2.23054192e+01 2.22829073e+01 7.47e-09 1.29e-15 1.71e-06 0s 29 2.23033722e+01 2.22882299e+01 5.31e-09 1.36e-15 1.15e-06 0s 30 2.23016620e+01 2.22918940e+01 3.61e-09 1.36e-15 7.41e-07 0s 31 2.23003418e+01 2.22939885e+01 2.19e-09 1.42e-15 4.82e-07 0s 32 2.22982158e+01 2.22961693e+01 6.82e-11 1.26e-15 1.55e-07 0s 33 2.22980274e+01 2.22977255e+01 3.50e-11 1.12e-15 2.29e-08 0s 34 2.22980000e+01 2.22979997e+01 3.51e-11 8.84e-16 2.21e-11 0s 35 2.22980000e+01 2.22980000e+01 7.34e-11 9.14e-16 4.02e-17 0s Barrier solved model in 35 iterations and 0.37 seconds Optimal objective 2.22980000e+01 Root relaxation: objective 2.229800e+01, 2776 iterations, 0.44 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 22.29800 0 63 169.00000 22.29800 86.8% - 1s H 0 0 24.0000000 22.29800 7.09% - 1s H 0 0 23.0000000 22.29800 3.05% - 1s Explored 0 nodes (8449 simplex iterations) in 1.59 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.300000000000e+01, best bound 2.300000000000e+01, gap 0.0% Preprocessing time: 0.25 seconds Gurobi run time: 1.59 seconds Total run time: 1.84 seconds Objective: 23 Solution: 4 x [1, 2, 5, 5, 5, 10, 10, 12, 14] 1 x [7, 9, 10, 10, 12, 16, 16, 16, 16] 1 x [10, 10, 16, 16, 16, 16] 2 x [1, 2, 2, 4, 7, 7, 8, 13, 17] 1 x [3, 7, 7, 11, 11, 12, 17, 19] 2 x [3, 3, 6, 6, 8, 9, 11, 17, 19] 1 x [2, 2, 3, 3, 7, 7, 13, 15, 17] 3 x [1, 3, 3, 6, 6, 8, 8, 17, 19] 1 x [3, 3, 6, 7, 7, 15, 15, 15, 17] 1 x [1, 3, 4, 12, 12, 12, 12, 17, 17] 1 x [7, 9, 12, 12, 17, 17, 17, 17, 19] 1 x [3, 3, 4, 6, 7, 7, 9] 2 x [4, 4, 4, 10, 10, 11, 11, 12, 13] 1 x [6, 8, 8, 8, 8, 8, 8, 8, 18] 1 x [1, 12, 12, 12, 13, 14, 18, 18]