Build (method = -2) #dp: 4225 Step-3' Graph: 714 vertices and 2135 arcs (0.03s) Step-4' Graph: 424 vertices and 1555 arcs (0.03s) #V4/#V3 = 0.59 #A4/#A3 = 0.73 Ready! (0.03s) Optimize a model with 444 rows, 1556 columns and 3824 nonzeros Presolve removed 66 rows and 117 columns Presolve time: 0.02s Presolved: 378 rows, 1439 columns, 3810 nonzeros Variable types: 0 continuous, 1439 integer (0 binary) Found heuristic solution: objective 437.0000000 Optimize a model with 378 rows, 1439 columns and 3810 nonzeros Presolved: 378 rows, 1439 columns, 3810 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.540e+03 Factor NZ : 1.271e+04 Factor Ops : 6.481e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 7.68005660e+03 -1.20874515e+05 2.19e+05 2.22e-16 4.31e+02 0s 1 2.30090242e+03 -6.82105762e+04 3.30e+04 5.55e-16 7.68e+01 0s 2 1.04578462e+03 -2.67523354e+04 6.51e+03 1.33e-15 1.84e+01 0s 3 6.16095018e+02 -5.27592805e+03 8.77e+02 5.11e-15 3.00e+00 0s 4 5.00732390e+02 -2.76785505e+03 1.19e+02 6.88e-15 1.24e+00 0s 5 4.36405489e+02 -1.56769043e+03 3.48e+01 4.55e-15 7.14e-01 0s 6 3.12132364e+02 -9.08057589e+02 1.72e+01 2.66e-15 4.30e-01 0s 7 2.65041660e+02 -3.30029112e+02 1.15e+01 1.11e-15 2.10e-01 0s 8 2.38698222e+02 -1.40578019e+02 8.13e+00 7.77e-16 1.33e-01 0s 9 2.03466570e+02 2.18671405e+01 4.12e+00 7.77e-16 6.36e-02 0s 10 1.86749268e+02 1.41204212e+02 1.11e+00 2.98e-16 1.59e-02 0s 11 1.81241146e+02 1.63293475e+02 5.05e-01 2.95e-16 6.26e-03 0s 12 1.80052979e+02 1.66981449e+02 3.66e-01 3.40e-16 4.56e-03 0s 13 1.78020696e+02 1.71475001e+02 1.75e-01 3.60e-16 2.28e-03 0s 14 1.77371457e+02 1.73602998e+02 1.20e-01 3.45e-16 1.31e-03 0s 15 1.76664060e+02 1.74942415e+02 6.19e-02 3.33e-16 6.01e-04 0s 16 1.76051371e+02 1.75514445e+02 1.08e-02 2.24e-16 1.87e-04 0s 17 1.75950829e+02 1.75771664e+02 3.31e-03 2.74e-16 6.22e-05 0s 18 1.75935031e+02 1.75841438e+02 2.29e-03 2.61e-16 3.26e-05 0s 19 1.75912724e+02 1.75858293e+02 9.50e-04 3.35e-16 1.89e-05 0s 20 1.75897621e+02 1.75894662e+02 4.70e-05 2.40e-16 1.03e-06 0s 21 1.75896668e+02 1.75896665e+02 1.19e-12 3.26e-16 1.03e-09 0s 22 1.75896667e+02 1.75896667e+02 5.81e-13 3.33e-16 1.03e-12 0s Barrier solved model in 22 iterations and 0.04 seconds Optimal objective 1.75896667e+02 Root relaxation: objective 1.758967e+02, 369 iterations, 0.05 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 175.89667 0 72 437.00000 175.89667 59.7% - 0s H 0 0 181.0000000 175.89667 2.82% - 0s H 0 0 178.0000000 175.89667 1.18% - 0s 0 0 175.93750 0 85 178.00000 175.93750 1.16% - 0s H 0 0 177.0000000 175.93750 0.60% - 0s 0 0 175.93750 0 63 177.00000 175.93750 0.60% - 0s 0 0 175.93750 0 61 177.00000 175.93750 0.60% - 0s 0 0 175.93750 0 77 177.00000 175.93750 0.60% - 0s H 0 0 176.0000000 175.93750 0.04% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (2962 simplex iterations) in 0.61 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.760000000000e+02, best bound 1.760000000000e+02, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.61 seconds Total run time: 0.65 seconds Objective: 176 Solution: 14 x [3, 5, 10, 11, 17] 12 x [3, 4, 7, 11, 13] 9 x [3, 4, 5, 7, 12] 1 x [3, 9, 11, 12, 18] 1 x [2, 3, 4, 12, 17, 20] 2 x [1, 3, 9, 15, 16, 17] 4 x [2, 3, 5, 9, 15, 17, 18] 13 x [2, 5, 7, 11, 14, 17] 12 x [1, 5, 9, 10, 19] 1 x [4, 7, 10, 11, 17] 2 x [10, 11, 12, 13, 16, 20] 11 x [6, 7, 11, 17, 19] 2 x [5, 6, 7, 12, 13, 19] 12 x [6, 7, 11, 15, 20] 3 x [6, 7, 9, 11, 15] 9 x [4, 6, 7, 12, 15, 17] 24 x [4, 6, 9, 12, 15, 18] 1 x [4, 5, 6, 9, 13, 15, 18] 5 x [2, 4, 5, 6, 9, 15, 17] 22 x [1, 5, 6, 9, 13, 17, 20] 1 x [4, 7, 9, 11, 15] 2 x [4, 5, 7, 9, 11, 17] 13 x [2, 4, 5, 8, 9, 11, 17]