Build (method = -2) #dp: 1272 Step-3' Graph: 84 vertices and 611 arcs (0.01s) Step-4' Graph: 43 vertices and 529 arcs (0.01s) #V4/#V3 = 0.51 #A4/#A3 = 0.87 Ready! (0.01s) Optimize a model with 85 rows, 530 columns and 1508 nonzeros Presolve removed 13 rows and 19 columns Presolve time: 0.01s Presolved: 72 rows, 511 columns, 1426 nonzeros Variable types: 0 continuous, 511 integer (386 binary) Found heuristic solution: objective 33.0000000 Found heuristic solution: objective 32.0000000 Optimize a model with 72 rows, 511 columns and 1426 nonzeros Presolved: 72 rows, 511 columns, 1426 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 7.620e+02 Factor NZ : 1.487e+03 Factor Ops : 4.024e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 6.71934383e+02 -1.37551556e+03 1.80e+03 2.45e-01 1.08e+01 0s 1 2.19960592e+02 -4.32647650e+02 4.01e+02 4.44e-16 2.47e+00 0s 2 4.71247864e+01 -1.32086693e+02 3.38e+01 3.33e-16 3.14e-01 0s 3 2.54430712e+01 -1.16405391e+01 1.92e+00 2.51e-06 4.18e-02 0s 4 2.27883966e+01 -5.72446782e-01 5.95e-01 4.44e-16 2.40e-02 0s 5 2.14076421e+01 1.06159183e+01 2.92e-01 2.22e-16 1.08e-02 0s 6 2.02458839e+01 1.27302652e+01 1.33e-01 4.44e-16 7.40e-03 0s 7 1.96375880e+01 1.60482515e+01 7.56e-02 4.44e-16 3.52e-03 0s 8 1.88963516e+01 1.74208599e+01 2.37e-02 2.22e-16 1.44e-03 0s 9 1.85343235e+01 1.78996447e+01 6.91e-03 2.22e-16 6.19e-04 0s 10 1.83777137e+01 1.81150921e+01 1.64e-03 2.22e-16 2.56e-04 0s 11 1.83407380e+01 1.82374587e+01 7.24e-04 2.22e-16 1.01e-04 0s 12 1.83172774e+01 1.82909227e+01 4.85e-05 2.22e-16 2.56e-05 0s 13 1.83143210e+01 1.83142066e+01 5.08e-14 4.44e-16 1.11e-07 0s 14 1.83142857e+01 1.83142856e+01 3.83e-14 3.33e-16 1.11e-10 0s Barrier solved model in 14 iterations and 0.01 seconds Optimal objective 1.83142857e+01 Root relaxation: objective 1.831429e+01, 162 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 18.31429 0 36 32.00000 18.31429 42.8% - 0s H 0 0 22.0000000 18.31429 16.8% - 0s H 0 0 20.0000000 18.31429 8.43% - 0s * 0 0 0 19.0000000 19.00000 0.0% - 0s Cutting planes: Gomory: 3 Zero half: 5 Explored 0 nodes (315 simplex iterations) in 0.05 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.900000000000e+01, best bound 1.900000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.05 seconds Total run time: 0.06 seconds Objective: 19 Solution: 1 x [3, 5] 1 x [4, 13, 16] 2 x [2, 42] 1 x [1, 40] 1 x [40, 41] 1 x [6, 28, 40] 1 x [12, 17, 39] 1 x [10, 22, 38] 1 x [11, 21, 37] 1 x [7, 31, 36] 1 x [18, 35] 1 x [14, 25, 34] 1 x [9, 30, 33] 1 x [14, 27, 33] 1 x [8, 29, 32] 1 x [19, 32] 1 x [15, 26, 31] 1 x [20, 23, 24]