Build (method = -2) #dp: 1393 Step-3' Graph: 223 vertices and 884 arcs (0.01s) Step-4' Graph: 192 vertices and 822 arcs (0.01s) #V4/#V3 = 0.86 #A4/#A3 = 0.93 Ready! (0.01s) Optimize a model with 201 rows, 823 columns and 2103 nonzeros Presolve removed 40 rows and 69 columns Presolve time: 0.01s Presolved: 161 rows, 754 columns, 2029 nonzeros Variable types: 0 continuous, 754 integer (99 binary) Found heuristic solution: objective 84.0000000 Found heuristic solution: objective 80.0000000 Optimize a model with 161 rows, 754 columns and 2029 nonzeros Presolved: 161 rows, 754 columns, 2029 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.188e+03 Factor NZ : 4.629e+03 Factor Ops : 1.741e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.92556481e+02 -1.29199048e+04 1.27e+04 9.64e-02 6.62e+01 0s 1 2.29359680e+02 -7.81205661e+03 1.98e+03 5.55e-16 1.32e+01 0s 2 1.04307876e+02 -2.00326908e+03 2.97e+02 1.78e-15 2.31e+00 0s 3 8.65243466e+01 -3.72694158e+02 3.33e+01 2.89e-15 3.75e-01 0s 4 6.58652022e+01 -1.69409335e+02 1.02e+01 1.55e-15 1.71e-01 0s 5 5.60696097e+01 -8.64413747e+01 7.70e+00 5.55e-16 1.03e-01 0s 6 4.31363343e+01 -6.55703385e+01 4.35e+00 1.88e-15 7.64e-02 0s 7 2.34505630e+01 -3.62250855e+01 1.85e+00 1.55e-15 4.11e-02 0s 8 1.72345607e+01 -1.24089627e+01 9.98e-01 1.05e-15 2.03e-02 0s 9 1.25662073e+01 -6.78933153e-02 3.46e-01 9.85e-16 8.53e-03 0s 10 1.15753811e+01 7.81508033e+00 1.19e-01 8.72e-16 2.52e-03 0s 11 1.17445239e+01 8.16877750e+00 1.05e-01 1.09e-15 2.39e-03 0s 12 1.10909065e+01 9.84531196e+00 3.80e-02 8.40e-16 8.32e-04 0s 13 1.07771841e+01 1.02423964e+01 1.00e-02 1.18e-15 3.56e-04 0s 14 1.06996029e+01 1.04633955e+01 4.68e-03 1.06e-15 1.57e-04 0s 15 1.06615001e+01 1.05182081e+01 2.42e-03 1.20e-15 9.52e-05 0s 16 1.06309438e+01 1.05586828e+01 6.52e-04 1.67e-15 4.79e-05 0s 17 1.06214331e+01 1.06003701e+01 2.04e-04 8.98e-16 1.40e-05 0s 18 1.06167569e+01 1.06108254e+01 7.17e-05 9.47e-16 3.93e-06 0s 19 1.06142724e+01 1.06136100e+01 5.49e-06 8.75e-16 4.39e-07 0s 20 1.06140001e+01 1.06139992e+01 1.99e-09 8.25e-16 6.49e-10 0s 21 1.06140000e+01 1.06140000e+01 1.93e-14 7.80e-16 6.52e-16 0s Barrier solved model in 21 iterations and 0.02 seconds Optimal objective 1.06140000e+01 Root relaxation: objective 1.061400e+01, 93 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 10.61400 0 44 80.00000 10.61400 86.7% - 0s H 0 0 14.0000000 10.61400 24.2% - 0s H 0 0 13.0000000 10.61400 18.4% - 0s H 0 0 11.0000000 10.61400 3.51% - 0s Explored 0 nodes (170 simplex iterations) in 0.06 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.100000000000e+01, best bound 1.100000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.06 seconds Total run time: 0.07 seconds Objective: 11 Solution: 2 x [1, 3, 3, 3, 3, 7, 7, 9, 9] 5 x [1, 2, 3, 3, 3, 3, 3, 5, 5] 1 x [1, 1, 2, 6, 6, 8, 9] 1 x [1, 1, 1, 1, 2, 9, 9] 1 x [1, 3, 3, 4, 9, 9, 9, 9, 9] 1 x [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 9]