Build (method = -2) #dp: 7848 Step-3' Graph: 300 vertices and 3492 arcs (0.06s) Step-4' Graph: 202 vertices and 3178 arcs (0.06s) #V4/#V3 = 0.67 #A4/#A3 = 0.91 Ready! (0.06s) Optimize a model with 244 rows, 3179 columns and 9137 nonzeros Presolve removed 8 rows and 9 columns Presolve time: 0.05s Presolved: 236 rows, 3170 columns, 9129 nonzeros Variable types: 0 continuous, 3170 integer (758 binary) Found heuristic solution: objective 73.0000000 Optimize a model with 236 rows, 3170 columns and 9129 nonzeros Presolved: 236 rows, 3170 columns, 9129 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.161e+03 Factor NZ : 1.268e+04 (roughly 1 MByte of memory) Factor Ops : 8.983e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 6.23186853e+03 -5.53942908e+04 4.06e+04 2.37e-01 9.03e+01 0s 1 1.85328902e+03 -1.42647501e+04 7.21e+03 8.88e-16 1.62e+01 0s 2 4.59622343e+02 -6.26112873e+03 8.12e+02 1.33e-15 2.47e+00 0s 3 2.25772676e+02 -1.52036219e+03 1.00e+02 3.33e-15 4.06e-01 0s 4 1.08916840e+02 -3.41457797e+02 1.80e+01 3.00e-15 8.81e-02 0s 5 9.50314611e+01 -1.77164930e+02 9.11e+00 1.44e-15 4.91e-02 0s 6 8.37473056e+01 -1.18390718e+02 5.79e+00 1.11e-15 3.51e-02 0s 7 7.33952861e+01 -7.57036026e+01 4.21e+00 8.88e-16 2.55e-02 0s 8 6.19394437e+01 -6.46713019e+01 3.29e+00 8.88e-16 2.15e-02 0s 9 3.41905310e+01 -2.56139460e+01 1.28e+00 6.26e-16 9.91e-03 0s 10 2.86547086e+01 -1.48243474e+00 9.73e-01 4.44e-16 5.01e-03 0s 11 2.19249992e+01 6.85905332e+00 4.56e-01 4.89e-16 2.46e-03 0s 12 2.11418083e+01 1.26838298e+01 2.92e-01 6.66e-16 1.37e-03 0s 13 2.04134518e+01 1.56548212e+01 2.22e-01 5.21e-16 7.66e-04 0s 14 1.91623126e+01 1.62505106e+01 1.05e-01 5.59e-16 4.65e-04 0s 15 1.81809789e+01 1.72340687e+01 1.41e-02 4.44e-16 1.50e-04 0s 16 1.79217214e+01 1.77233493e+01 6.33e-04 4.58e-16 3.12e-05 0s 17 1.78862354e+01 1.78129750e+01 1.01e-04 4.44e-16 1.15e-05 0s 18 1.78770122e+01 1.78633661e+01 1.18e-05 4.44e-16 2.14e-06 0s 19 1.78751190e+01 1.78743668e+01 2.06e-07 4.44e-16 1.18e-07 0s 20 1.78750001e+01 1.78749998e+01 3.11e-11 1.11e-15 4.15e-11 0s 21 1.78750000e+01 1.78750000e+01 5.81e-14 4.50e-16 4.15e-14 0s Barrier solved model in 21 iterations and 0.06 seconds Optimal objective 1.78750000e+01 Root relaxation: objective 1.787500e+01, 1171 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.87500 0 56 73.00000 17.87500 75.5% - 0s H 0 0 19.0000000 17.87500 5.92% - 0s 0 0 18.00000 0 90 19.00000 18.00000 5.26% - 0s 0 0 18.00000 0 106 19.00000 18.00000 5.26% - 0s 0 0 18.00000 0 116 19.00000 18.00000 5.26% - 0s H 0 0 18.0000000 18.00000 0.0% - 1s Cutting planes: Gomory: 1 Zero half: 2 Explored 0 nodes (2827 simplex iterations) in 1.12 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: 0.08 seconds Gurobi run time: 1.12 seconds Total run time: 1.20 seconds Objective: 18 Solution: 1 x [31, 34, 37, 39, 42] 1 x [31, 34, 37, 39, 41] 1 x [31, 33, 37, 39, 40] 2 x [32, 33, 35, 36, 38] 1 x [26, 31, 33, 35, 38] 1 x [30, 31, 32, 33, 38] 1 x [21, 23, 25, 27, 33] 1 x [2, 2, 14, 16, 23, 31] 1 x [5, 6, 7, 20, 21, 30] 2 x [3, 8, 17, 18, 20, 29] 1 x [1, 2, 13, 26, 26, 28] 1 x [3, 10, 15, 20, 24, 25] 1 x [8, 9, 16, 19, 19, 25] 1 x [11, 11, 12, 17, 24, 24] 2 x [4, 12, 16, 20, 21, 22]