Build (method = -2) #dp: 40998 Step-3' Graph: 844 vertices and 10011 arcs (0.30s) Step-4' Graph: 837 vertices and 9997 arcs (0.31s) #V4/#V3 = 0.99 #A4/#A3 = 1.00 Ready! (0.31s) Optimize a model with 856 rows, 9998 columns and 28341 nonzeros Presolve removed 18 rows and 33 columns Presolve time: 0.10s Presolved: 838 rows, 9965 columns, 28312 nonzeros Variable types: 0 continuous, 9965 integer (0 binary) Found heuristic solution: objective 136.0000000 Optimize a model with 838 rows, 9965 columns and 28312 nonzeros Presolved: 838 rows, 9965 columns, 28312 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 1.838e+04 Factor NZ : 1.150e+05 (roughly 5 MBytes of memory) Factor Ops : 2.143e+07 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.83884254e+03 -3.01356295e+05 1.88e+05 2.22e-16 2.17e+02 0s 1 8.20468725e+02 -1.95444694e+05 2.51e+04 3.77e-15 3.54e+01 0s 2 5.44177422e+02 -1.11182254e+05 9.51e+03 3.55e-15 1.42e+01 0s 3 4.05050756e+02 -4.87448386e+04 4.05e+03 6.04e-14 5.56e+00 0s 4 3.24066607e+02 -2.56081705e+04 1.01e+03 2.66e-14 1.99e+00 0s 5 3.00401263e+02 -9.62157277e+03 2.39e+02 4.35e-14 6.24e-01 0s 6 2.92992404e+02 -1.94847983e+03 1.08e-02 1.64e-14 1.12e-01 0s 7 2.85266477e+02 -6.96625763e+02 5.74e-12 8.22e-15 4.92e-02 0s 8 2.78862850e+02 -5.46678429e+02 5.50e-12 6.88e-15 4.14e-02 0s 9 2.70135652e+02 -5.27229447e+02 5.24e-12 6.88e-15 4.00e-02 0s 10 2.33255826e+02 -4.42401467e+02 4.32e-12 6.00e-15 3.39e-02 0s 11 1.80961125e+02 -2.92113054e+02 3.35e-12 4.00e-15 2.37e-02 0s 12 1.83581606e+02 -2.51667138e+02 3.14e-12 4.55e-15 2.18e-02 0s 13 1.66377589e+02 -2.06925620e+02 2.81e-12 4.84e-15 1.87e-02 0s 14 1.55246040e+02 -1.81797038e+02 2.59e-12 5.59e-15 1.69e-02 0s 15 1.27273673e+02 -1.77018256e+02 2.10e-12 6.06e-15 1.53e-02 0s 16 1.14967553e+02 -1.23892249e+02 2.10e-12 5.16e-15 1.20e-02 0s 17 9.98796647e+01 -8.64862394e+01 1.84e-12 4.29e-15 9.34e-03 0s 18 7.84192227e+01 -5.05256306e+01 1.41e-12 3.36e-15 6.46e-03 0s 19 6.21914082e+01 -2.63487800e+01 1.15e-12 3.38e-15 4.44e-03 0s 20 3.65226514e+01 -1.69527560e+01 8.62e-13 3.42e-15 2.68e-03 0s 21 2.86103758e+01 -2.42987547e+00 3.17e-12 2.70e-15 1.56e-03 0s 22 2.21895663e+01 1.32673136e+00 1.59e-12 3.18e-15 1.05e-03 0s 23 2.00587735e+01 4.67714342e+00 1.04e-12 3.49e-15 7.71e-04 0s 24 1.93060611e+01 8.94721156e+00 8.78e-13 3.70e-15 5.19e-04 0s 25 1.91107787e+01 1.10929460e+01 7.99e-13 3.60e-15 4.02e-04 0s 26 1.81131950e+01 1.49255010e+01 3.75e-13 2.30e-15 1.60e-04 1s 27 1.77339722e+01 1.64985706e+01 1.26e-13 2.32e-15 6.19e-05 1s 28 1.76206354e+01 1.66563825e+01 4.88e-14 3.12e-15 4.83e-05 1s 29 1.75177392e+01 1.69382554e+01 1.52e-13 3.77e-15 2.90e-05 1s 30 1.75109079e+01 1.70981336e+01 1.34e-13 3.06e-15 2.07e-05 1s 31 1.74517368e+01 1.72698512e+01 1.11e-12 2.46e-15 9.12e-06 1s 32 1.74300763e+01 1.73107339e+01 6.92e-13 2.80e-15 5.98e-06 1s 33 1.74159601e+01 1.73646414e+01 2.54e-13 3.16e-15 2.57e-06 1s 34 1.74062369e+01 1.73943318e+01 4.39e-13 2.08e-15 5.97e-07 1s 35 1.74040040e+01 1.74039505e+01 2.89e-13 2.35e-15 2.68e-09 1s 36 1.74040000e+01 1.74040000e+01 8.41e-13 1.75e-15 2.68e-12 1s Barrier solved model in 36 iterations and 0.67 seconds Optimal objective 1.74040000e+01 Root relaxation: objective 1.740400e+01, 6965 iterations, 0.84 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.40400 0 88 136.00000 17.40400 87.2% - 3s H 0 0 18.0000000 17.40400 3.31% - 3s Explored 0 nodes (15665 simplex iterations) in 3.42 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.800000000000e+01, best bound 1.800000000000e+01, gap 0.0% Preprocessing time: 0.35 seconds Gurobi run time: 3.42 seconds Total run time: 3.77 seconds Objective: 18 Solution: 2 x [2, 4, 5, 6, 6, 7, 10, 12, 13, 18, 18, 19] 2 x [1, 4, 5, 6, 6, 6, 7, 8, 10, 13, 18, 18, 19] 1 x [4, 5, 7, 10, 12, 12, 13, 14, 15, 15, 18, 19] 1 x [4, 7, 13, 13, 15, 19] 1 x [7, 11, 12, 13, 13, 13, 14, 15, 19] 2 x [3, 8, 10, 10, 11, 12, 12, 12, 13, 13, 15, 17, 19] 1 x [2, 6, 6, 7, 10, 10, 11, 17, 19, 19] 2 x [10, 10, 11, 14, 15, 19, 19, 19] 2 x [4, 7, 8, 8, 9, 11, 11, 11, 11] 2 x [3, 4, 6, 6, 6, 7, 8, 10, 10, 12, 12, 14, 15, 15, 17, 18, 18] 1 x [8, 9, 10, 10, 11, 14, 15, 16, 16] 1 x [8, 9, 10, 10, 11, 14, 15, 16, 16, 16]