Build (method = -2) #dp: 9566 Step-3' Graph: 672 vertices and 3396 arcs (0.05s) Step-4' Graph: 655 vertices and 3362 arcs (0.05s) #V4/#V3 = 0.97 #A4/#A3 = 0.99 Ready! (0.05s) Optimize a model with 665 rows, 3363 columns and 8812 nonzeros Presolve removed 44 rows and 83 columns Presolve time: 0.04s Presolved: 621 rows, 3280 columns, 8694 nonzeros Variable types: 0 continuous, 3280 integer (55 binary) Found heuristic solution: objective 655.0000000 Optimize a model with 621 rows, 3280 columns and 8694 nonzeros Presolved: 621 rows, 3280 columns, 8694 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.254e+03 Factor NZ : 4.202e+04 (roughly 2 MBytes of memory) Factor Ops : 5.090e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 9.81090248e+03 -8.64328307e+05 5.67e+05 3.76e-02 9.67e+02 0s 1 2.48938336e+03 -6.11688716e+05 7.89e+04 6.66e-16 1.99e+02 0s 2 1.74450800e+03 -2.04238024e+05 3.17e+04 1.22e-15 6.48e+01 0s 3 1.25958079e+03 -6.44285246e+04 9.60e+03 1.15e-14 1.86e+01 0s 4 1.05137513e+03 -2.11984460e+04 1.95e+03 1.87e-14 4.89e+00 0s 5 1.00131024e+03 -6.88938102e+03 1.67e+02 6.22e-15 1.28e+00 0s 6 9.93475647e+02 -1.97271315e+03 1.07e+00 2.22e-15 4.52e-01 0s 7 8.88316200e+02 -1.32308324e+03 9.26e-12 1.55e-15 3.37e-01 0s 8 6.17670265e+02 -6.21839928e+02 6.54e-12 7.77e-16 1.89e-01 0s 9 4.76553920e+02 -2.09621172e+02 5.42e-12 3.33e-16 1.04e-01 0s 10 2.80031666e+02 -5.71148465e+01 5.45e-12 2.70e-16 5.13e-02 0s 11 1.53443985e+02 -1.21621951e+01 2.11e-12 1.43e-16 2.52e-02 0s 12 1.29339439e+02 1.49888466e+01 3.72e-12 2.34e-16 1.74e-02 0s 13 1.27760200e+02 2.75609899e+01 3.58e-12 2.61e-16 1.53e-02 0s 14 1.14304295e+02 5.03263394e+01 3.37e-12 2.28e-16 9.74e-03 0s 15 9.71665730e+01 6.40699602e+01 2.16e-12 2.57e-16 5.04e-03 0s 16 9.19844432e+01 7.14830000e+01 4.30e-12 2.04e-16 3.12e-03 0s 17 9.14882621e+01 8.10997091e+01 3.56e-12 1.38e-16 1.58e-03 0s 18 8.90109599e+01 8.39740940e+01 2.24e-12 2.22e-16 7.67e-04 0s 19 8.82052859e+01 8.51501898e+01 1.65e-12 2.22e-16 4.65e-04 0s 20 8.77139609e+01 8.63435612e+01 5.99e-13 2.22e-16 2.09e-04 0s 21 8.73896800e+01 8.68103089e+01 1.79e-12 2.18e-16 8.82e-05 0s 22 8.72522776e+01 8.69253547e+01 1.29e-12 2.27e-16 4.98e-05 0s 23 8.72419284e+01 8.70635663e+01 1.13e-12 1.56e-16 2.72e-05 0s 24 8.71869509e+01 8.71144641e+01 4.21e-13 2.05e-16 1.10e-05 0s 25 8.71719781e+01 8.71373727e+01 5.64e-13 2.22e-16 5.27e-06 0s 26 8.71613237e+01 8.71580418e+01 4.22e-13 1.55e-16 5.00e-07 0s 27 8.71610008e+01 8.71609968e+01 6.86e-13 3.33e-16 6.11e-10 0s 28 8.71610000e+01 8.71610000e+01 5.86e-13 2.26e-16 6.42e-16 0s Barrier solved model in 28 iterations and 0.17 seconds Optimal objective 8.71610000e+01 Root relaxation: objective 8.716100e+01, 1257 iterations, 0.19 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 87.16100 0 56 655.00000 87.16100 86.7% - 0s H 0 0 88.0000000 87.16100 0.95% - 0s Explored 0 nodes (2978 simplex iterations) in 0.44 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.800000000000e+01, best bound 8.800000000000e+01, gap 0.0% Preprocessing time: 0.07 seconds Gurobi run time: 0.44 seconds Total run time: 0.51 seconds Objective: 88 Solution: 2 x [1, 1, 3, 4, 4, 5, 6, 6, 6, 8, 9, 9] 17 x [1, 3, 3, 3, 3, 3, 3, 8] 6 x [1, 4, 5, 5, 5, 5, 5, 6, 8, 9, 9, 10] 2 x [1, 1, 1, 1, 5, 5, 5, 6, 6, 7, 7, 7, 8, 9, 10] 3 x [1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 6, 6, 8, 9, 10] 21 x [1, 5, 8, 10, 10, 10, 10, 10, 10] 1 x [1, 1, 4, 5, 6, 6, 6, 8, 9, 9] 1 x [2, 5, 5, 5, 6, 8, 9] 1 x [5, 5, 5, 6, 6, 6, 7, 8, 9, 9, 9] 17 x [1, 1, 1, 3, 5, 5, 5, 6, 6, 7, 7, 7, 7, 9, 10] 17 x [4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 9]