Build (method = -2) #dp: 9828 Step-3' Graph: 1357 vertices and 4064 arcs (0.08s) Step-4' Graph: 978 vertices and 3306 arcs (0.09s) #V4/#V3 = 0.72 #A4/#A3 = 0.81 Ready! (0.09s) Optimize a model with 997 rows, 3307 columns and 7969 nonzeros Presolve removed 186 rows and 363 columns Presolve time: 0.05s Presolved: 811 rows, 2944 columns, 7723 nonzeros Variable types: 0 continuous, 2944 integer (5 binary) Optimize a model with 811 rows, 2944 columns and 7723 nonzeros Presolved: 811 rows, 2944 columns, 7723 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 5.232e+03 Factor NZ : 3.256e+04 (roughly 2 MBytes of memory) Factor Ops : 2.136e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.18818655e+03 -5.97730843e+04 1.17e+05 1.16e-02 1.22e+02 0s 1 3.21530445e+02 -3.69233617e+04 1.42e+04 1.75e-02 1.90e+01 0s 2 1.44995722e+02 -1.13469315e+04 3.18e+03 1.69e-15 4.37e+00 0s 3 8.87596376e+01 -2.97423535e+03 3.71e+02 9.71e-16 7.67e-01 0s 4 7.19435487e+01 -5.61319911e+02 3.30e+01 2.22e-15 1.25e-01 0s 5 5.98359609e+01 -3.16568145e+02 1.03e+01 8.01e-16 6.82e-02 0s 6 4.96553489e+01 -2.08839215e+02 3.34e+00 1.12e-15 4.50e-02 0s 7 4.63096560e+01 -1.89428262e+02 2.68e+00 1.04e-15 4.09e-02 0s 8 3.78208443e+01 -1.21651918e+02 3.82e-01 9.89e-16 2.72e-02 0s 9 3.16998042e+01 -5.43148863e+01 2.05e-01 8.67e-16 1.47e-02 0s 10 2.87208516e+01 -2.75447848e+01 1.38e-01 6.77e-16 9.59e-03 0s 11 2.60158101e+01 -1.26147942e+01 9.09e-02 7.23e-16 6.58e-03 0s 12 2.47894512e+01 5.06525918e-01 6.78e-02 7.28e-16 4.14e-03 0s 13 2.27098826e+01 9.86356803e+00 3.29e-02 7.46e-16 2.19e-03 0s 14 2.23427836e+01 1.64416509e+01 1.75e-02 5.94e-16 1.00e-03 0s 15 2.16794950e+01 1.88315517e+01 4.77e-03 5.58e-16 4.84e-04 0s 16 2.15009412e+01 1.99679649e+01 2.77e-03 6.23e-16 2.61e-04 0s 17 2.13869461e+01 2.04713284e+01 1.52e-03 7.03e-16 1.56e-04 0s 18 2.13333719e+01 2.08668336e+01 1.00e-03 5.54e-16 7.94e-05 0s 19 2.12844896e+01 2.09689818e+01 5.41e-04 6.46e-16 5.37e-05 0s 20 2.12432578e+01 2.11154069e+01 1.74e-04 6.05e-16 2.17e-05 0s 21 2.12324422e+01 2.11563724e+01 1.00e-04 6.38e-16 1.29e-05 0s 22 2.12239482e+01 2.11776112e+01 5.68e-05 6.06e-16 7.88e-06 0s 23 2.12218277e+01 2.11946431e+01 4.02e-05 6.91e-16 4.62e-06 0s 24 2.12187560e+01 2.12043403e+01 2.10e-05 6.70e-16 2.45e-06 0s 25 2.12176119e+01 2.12081429e+01 1.45e-05 7.49e-16 1.61e-06 0s 26 2.12158869e+01 2.12115480e+01 5.27e-06 6.05e-16 7.38e-07 0s 27 2.12150232e+01 2.12149012e+01 6.12e-09 4.90e-16 2.07e-08 0s 28 2.12150000e+01 2.12149999e+01 2.10e-12 6.33e-16 2.08e-11 0s 29 2.12150000e+01 2.12150000e+01 1.82e-12 4.53e-16 3.34e-17 0s Barrier solved model in 29 iterations and 0.12 seconds Optimal objective 2.12150000e+01 Root relaxation: objective 2.121500e+01, 625 iterations, 0.14 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 21.21500 0 99 - 21.21500 - - 0s H 0 0 22.0000000 21.21500 3.57% - 0s Explored 0 nodes (1518 simplex iterations) in 0.44 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.200000000000e+01, best bound 2.200000000000e+01, gap 0.0% Preprocessing time: 0.11 seconds Gurobi run time: 0.44 seconds Total run time: 0.55 seconds Objective: 22 Solution: 1 x [1, 2, 5, 6, 7, 8, 10, 18] 1 x [1, 2, 8, 10, 11, 12, 14, 16, 18] 1 x [1, 3, 5, 6, 8, 11, 13, 16, 18] 1 x [1, 3, 5, 7, 8, 11, 12, 17, 18] 3 x [1, 3, 5, 9, 10, 14, 15, 16, 18, 19] 1 x [1, 3, 19] 2 x [1, 4, 5, 6, 7, 10, 13, 15, 16] 2 x [1, 4, 5, 7, 10, 13, 14, 15, 18, 19] 4 x [2, 3, 4, 5, 6, 11, 15, 16, 18] 1 x [2, 5, 6, 7, 10, 11, 14, 15, 19] 2 x [3, 4, 5, 6, 9, 11, 14, 15, 16, 18] 2 x [3, 4, 6, 7, 10, 11, 13, 15, 16, 18] 1 x [3, 5, 7, 8, 11, 14, 15, 16, 18]