Build (method = -2) #dp: 7861 Step-3' Graph: 285 vertices and 3570 arcs (0.07s) Step-4' Graph: 207 vertices and 3341 arcs (0.07s) #V4/#V3 = 0.73 #A4/#A3 = 0.94 Ready! (0.07s) Optimize a model with 249 rows, 3342 columns and 9619 nonzeros Presolve removed 6 rows and 9 columns Presolve time: 0.07s Presolved: 243 rows, 3333 columns, 9611 nonzeros Variable types: 0 continuous, 3333 integer (837 binary) Found heuristic solution: objective 69.0000000 Optimize a model with 243 rows, 3333 columns and 9611 nonzeros Presolved: 243 rows, 3333 columns, 9611 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.389e+03 Factor NZ : 1.379e+04 (roughly 2 MBytes of memory) Factor Ops : 1.026e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.39422483e+03 -3.49223244e+04 3.27e+04 1.56e-01 5.06e+01 0s 1 1.17197934e+03 -8.97917877e+03 6.69e+03 6.66e-16 1.02e+01 0s 2 3.38595782e+02 -4.12664055e+03 8.67e+02 8.88e-16 1.69e+00 0s 3 2.11298807e+02 -1.12307535e+03 9.38e+01 1.44e-15 2.80e-01 0s 4 1.23706376e+02 -2.67839798e+02 1.61e+01 1.11e-15 6.81e-02 0s 5 8.87709651e+01 -1.75337548e+02 9.81e+00 8.88e-16 4.46e-02 0s 6 8.43174699e+01 -1.18293409e+02 9.03e+00 4.44e-16 3.46e-02 0s 7 6.63123668e+01 -9.31656146e+01 7.22e+00 2.39e-16 2.72e-02 0s 8 4.37454016e+01 -5.42115345e+01 3.92e+00 3.33e-16 1.62e-02 0s 9 2.62900617e+01 -1.53411738e+01 1.67e+00 3.10e-16 6.73e-03 0s 10 2.52524016e+01 -7.97865819e+00 1.26e+00 2.22e-16 5.30e-03 0s 11 2.15941538e+01 5.44385319e+00 7.09e-01 2.22e-16 2.54e-03 0s 12 1.92699599e+01 1.35106314e+01 2.47e-01 2.62e-16 8.84e-04 0s 13 1.81158780e+01 1.58963172e+01 6.02e-02 2.22e-16 3.36e-04 0s 14 1.78448211e+01 1.69118948e+01 3.11e-02 2.22e-16 1.41e-04 0s 15 1.76414130e+01 1.72468428e+01 1.28e-02 1.79e-16 5.97e-05 0s 16 1.75056946e+01 1.73563470e+01 2.49e-03 2.22e-16 2.24e-05 0s 17 1.74703653e+01 1.74338585e+01 3.32e-04 2.22e-16 5.47e-06 0s 18 1.74621920e+01 1.74602920e+01 5.58e-06 3.33e-16 2.84e-07 0s 19 1.74618276e+01 1.74617807e+01 3.29e-08 2.41e-16 7.01e-09 0s 20 1.74618182e+01 1.74618182e+01 6.27e-14 4.44e-16 9.86e-15 0s Barrier solved model in 20 iterations and 0.08 seconds Optimal objective 1.74618182e+01 Root relaxation: objective 1.746182e+01, 1197 iterations, 0.10 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.46182 0 50 69.00000 17.46182 74.7% - 0s H 0 0 18.0000000 17.46182 2.99% - 0s Explored 0 nodes (2425 simplex iterations) in 0.43 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: 0.10 seconds Gurobi run time: 0.43 seconds Total run time: 0.52 seconds Objective: 18 Solution: 1 x [38, 40, 41, 42] 1 x [38, 40, 40, 41, 42] 1 x [31, 32, 35, 38, 39] 1 x [31, 34, 36, 37, 38] 1 x [30, 33, 34, 37, 38] 1 x [1, 6, 7, 16, 27, 30] 1 x [1, 5, 13, 15, 23, 29] 1 x [2, 11, 12, 13, 21, 29] 1 x [8, 11, 11, 12, 18, 28] 1 x [1, 6, 13, 15, 24, 27] 1 x [3, 10, 13, 15, 19, 27] 1 x [1, 6, 10, 18, 25, 26] 1 x [2, 3, 14, 19, 23, 25] 1 x [1, 5, 23, 25] 1 x [4, 9, 11, 17, 20, 25] 1 x [3, 12, 15, 16, 17, 25] 1 x [5, 5, 16, 17, 17, 25] 1 x [4, 9, 11, 19, 21, 22]