Build (method = -2) #dp: 2406 Step-3' Graph: 260 vertices and 1167 arcs (0.01s) Step-4' Graph: 245 vertices and 1137 arcs (0.01s) #V4/#V3 = 0.94 #A4/#A3 = 0.97 Ready! (0.01s) Optimize a model with 265 rows, 1138 columns and 2931 nonzeros Presolve removed 73 rows and 162 columns Presolve time: 0.02s Presolved: 192 rows, 976 columns, 2646 nonzeros Variable types: 0 continuous, 976 integer (0 binary) Found heuristic solution: objective 163.0000000 Found heuristic solution: objective 156.0000000 Found heuristic solution: objective 149.0000000 Optimize a model with 192 rows, 976 columns and 2646 nonzeros Presolved: 192 rows, 976 columns, 2646 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.679e+03 Factor NZ : 6.390e+03 Factor Ops : 3.085e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.48402035e+03 -2.14891566e+04 1.85e+04 2.22e-16 1.01e+02 0s 1 4.85165790e+02 -1.20886332e+04 2.37e+03 7.77e-16 1.67e+01 0s 2 2.65056594e+02 -3.95601780e+03 3.11e+02 1.24e-14 3.14e+00 0s 3 1.86638121e+02 -5.22443780e+02 1.18e+01 6.11e-15 3.80e-01 0s 4 1.72572847e+02 -2.44445265e+02 5.65e+00 3.11e-15 2.18e-01 0s 5 1.44041312e+02 -1.76697879e+02 1.63e+00 2.55e-15 1.65e-01 0s 6 1.19151282e+02 -3.53108743e+01 1.01e+00 1.33e-15 7.92e-02 0s 7 9.70596652e+01 1.73042411e+01 5.29e-01 7.18e-16 4.08e-02 0s 8 8.64462783e+01 5.04742868e+01 2.94e-01 6.16e-16 1.84e-02 0s 9 7.89588233e+01 5.61354987e+01 1.16e-01 7.24e-16 1.16e-02 0s 10 7.43872127e+01 6.29792327e+01 3.18e-02 6.26e-16 5.81e-03 0s 11 7.43723673e+01 6.37185732e+01 2.73e-02 7.88e-16 5.42e-03 0s 12 7.26326769e+01 6.72117697e+01 1.29e-02 6.70e-16 2.76e-03 0s 13 7.17828914e+01 6.85943122e+01 6.39e-03 6.16e-16 1.62e-03 0s 14 7.12280442e+01 6.98602453e+01 3.30e-03 6.07e-16 6.96e-04 0s 15 7.09351266e+01 7.02491663e+01 1.49e-03 6.62e-16 3.49e-04 0s 16 7.07309898e+01 7.06202547e+01 2.30e-04 5.08e-16 5.63e-05 0s 17 7.07127417e+01 7.06740016e+01 1.07e-04 5.55e-16 1.97e-05 0s 18 7.07006133e+01 7.06855246e+01 3.17e-05 5.51e-16 7.68e-06 0s 19 7.06925037e+01 7.06918560e+01 3.52e-07 4.19e-16 3.29e-07 0s 20 7.06923082e+01 7.06923073e+01 6.51e-10 5.68e-16 4.73e-10 0s 21 7.06923077e+01 7.06923077e+01 2.61e-12 7.77e-16 6.86e-16 0s Barrier solved model in 21 iterations and 0.03 seconds Optimal objective 7.06923077e+01 Root relaxation: objective 7.069231e+01, 207 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 70.69231 0 28 149.00000 70.69231 52.6% - 0s H 0 0 72.0000000 70.69231 1.82% - 0s H 0 0 71.0000000 70.69231 0.43% - 0s Explored 0 nodes (430 simplex iterations) in 0.09 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 7.100000000000e+01, best bound 7.100000000000e+01, gap 0.0% Preprocessing time: 0.03 seconds Gurobi run time: 0.09 seconds Total run time: 0.12 seconds Objective: 71 Solution: 2 x [10, 16] 3 x [1, 5, 20] 6 x [2, 12] 3 x [12, 15] 4 x [5, 12, 14] 4 x [4, 5, 14, 19] 8 x [17, 17, 19] 1 x [18, 18, 19] 4 x [13, 14, 15] 2 x [3, 9] 1 x [3, 8, 9] 1 x [3, 8, 8, 8, 9] 2 x [9, 11, 20] 6 x [9, 9] 10 x [3, 7, 16] 1 x [3, 4, 17] 1 x [3, 3, 20] 10 x [6, 11, 18] 2 x [5, 6, 15]