Build (method = -2) #dp: 379 Step-3' Graph: 36 vertices and 164 arcs (0.00s) Step-4' Graph: 22 vertices and 136 arcs (0.00s) #V4/#V3 = 0.61 #A4/#A3 = 0.83 Ready! (0.00s) Optimize a model with 55 rows, 137 columns and 371 nonzeros Presolve removed 23 rows and 26 columns Presolve time: 0.00s Presolved: 32 rows, 111 columns, 287 nonzeros Variable types: 0 continuous, 111 integer (54 binary) Found heuristic solution: objective 38.0000000 Found heuristic solution: objective 36.0000000 Optimize a model with 32 rows, 111 columns and 287 nonzeros Presolved: 32 rows, 111 columns, 287 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.430e+02 Factor NZ : 3.960e+02 Factor Ops : 5.968e+03 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.35898869e+02 -3.75313079e+02 1.72e+02 1.92e-01 9.60e+00 0s 1 7.84166974e+01 -1.11673784e+02 2.17e+01 6.66e-16 1.52e+00 0s 2 4.24720058e+01 1.37642418e+00 1.28e+00 4.44e-16 2.02e-01 0s 3 3.65775177e+01 1.57005280e+01 9.26e-02 4.44e-16 9.29e-02 0s 4 3.46206180e+01 2.35878997e+01 2.36e-02 2.22e-16 4.87e-02 0s 5 3.29240718e+01 2.68171022e+01 8.68e-03 3.33e-16 2.69e-02 0s 6 3.17218421e+01 2.86273437e+01 9.52e-04 2.22e-16 1.36e-02 0s 7 3.15058471e+01 3.14758849e+01 1.35e-05 2.22e-16 1.32e-04 0s 8 3.15000059e+01 3.14999759e+01 5.11e-14 2.22e-16 1.32e-07 0s 9 3.15000000e+01 3.15000000e+01 1.00e-13 2.22e-16 1.41e-13 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 3.15000000e+01 Root relaxation: objective 3.150000e+01, 41 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 31.50000 0 4 36.00000 31.50000 12.5% - 0s H 0 0 32.0000000 31.50000 1.56% - 0s Explored 0 nodes (55 simplex iterations) in 0.01 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 3.200000000000e+01, best bound 3.200000000000e+01, gap 0.0% Preprocessing time: 0.01 seconds Gurobi run time: 0.01 seconds Total run time: 0.01 seconds Objective: 32 Solution: 1 x [33] 1 x [32] 1 x [31] 2 x [30] 1 x [29] 2 x [28] 1 x [1, 28] 2 x [2, 27] 5 x [26] 1 x [4, 25] 1 x [5, 24] 1 x [3, 24] 1 x [7, 23] 1 x [8, 22] 2 x [6, 22] 1 x [9, 21] 1 x [15, 20] 1 x [14, 19] 1 x [17, 18] 1 x [16, 18] 1 x [15] 1 x [12, 13] 2 x [10, 11]