Build (method = -2) #dp: 181 Step-3' Graph: 28 vertices and 80 arcs (0.00s) Step-4' Graph: 13 vertices and 50 arcs (0.00s) #V4/#V3 = 0.46 #A4/#A3 = 0.62 Ready! (0.00s) Optimize a model with 20 rows, 51 columns and 131 nonzeros Presolve removed 3 rows and 3 columns Presolve time: 0.00s Presolved: 17 rows, 48 columns, 124 nonzeros Variable types: 0 continuous, 48 integer (0 binary) Found heuristic solution: objective 268.0000000 Found heuristic solution: objective 265.0000000 Optimize a model with 17 rows, 48 columns and 124 nonzeros Presolved: 17 rows, 48 columns, 124 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 6.100e+01 Factor NZ : 1.530e+02 Factor Ops : 1.785e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.57758215e+03 -2.72052455e+03 1.16e+03 2.22e-16 1.51e+02 0s 1 4.40381451e+02 -8.38553041e+02 1.33e+02 4.44e-16 2.19e+01 0s 2 1.37273891e+02 -1.05034196e+02 4.83e+00 3.33e-16 2.59e+00 0s 3 8.07861818e+01 2.74797535e+01 4.62e-14 2.22e-16 5.23e-01 0s 4 6.84970965e+01 5.51065113e+01 4.44e-14 1.39e-16 1.31e-01 0s 5 6.76009212e+01 6.61288253e+01 3.01e-14 2.22e-16 1.44e-02 0s 6 6.72526466e+01 6.72464480e+01 2.11e-14 1.92e-16 6.08e-05 0s 7 6.72500000e+01 6.72500000e+01 2.98e-14 1.90e-16 8.10e-11 0s Barrier solved model in 7 iterations and 0.00 seconds Optimal objective 6.72500000e+01 Root relaxation: objective 6.725000e+01, 26 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 67.25000 0 8 265.00000 67.25000 74.6% - 0s H 0 0 68.0000000 67.25000 1.10% - 0s Explored 0 nodes (32 simplex iterations) in 0.00 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.800000000000e+01, best bound 6.800000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.00 seconds Total run time: 0.01 seconds Objective: 68 Solution: 1 x [1, 5, 7] 2 x [2, 2, 2, 7] 3 x [1, 2, 2, 6] 1 x [1, 1] 16 x [2, 2, 3, 4] 6 x [2, 2, 2, 3] 39 x [2, 2, 3, 3]