Build (method = -2) #dp: 9998 Step-3' Graph: 217 vertices and 644 arcs (0.06s) Step-4' Graph: 17 vertices and 244 arcs (0.06s) #V4/#V3 = 0.08 #A4/#A3 = 0.38 Ready! (0.06s) Optimize a model with 86 rows, 245 columns and 705 nonzeros Presolve removed 4 rows and 4 columns Presolve time: 0.00s Presolved: 82 rows, 241 columns, 695 nonzeros Variable types: 0 continuous, 241 integer (139 binary) Found heuristic solution: objective 51.0000000 Optimize a model with 82 rows, 241 columns and 695 nonzeros Presolved: 82 rows, 241 columns, 695 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.520e+02 Factor NZ : 7.400e+02 Factor Ops : 1.235e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.82796009e+02 -3.74663184e+02 2.63e+01 1.46e-02 2.13e+00 0s 1 7.33280394e+01 -6.83970887e+01 3.06e-13 2.78e-16 2.95e-01 0s 2 3.87671004e+01 2.08792425e+01 1.22e-13 2.22e-16 3.63e-02 0s 3 3.33673113e+01 3.32047016e+01 1.65e-13 1.84e-16 3.23e-04 0s 4 3.33333672e+01 3.33332046e+01 8.06e-14 1.11e-16 3.23e-07 0s 5 3.33333333e+01 3.33333333e+01 1.37e-13 1.50e-16 3.23e-13 0s Barrier solved model in 5 iterations and 0.00 seconds Optimal objective 3.33333333e+01 Root relaxation: objective 3.333333e+01, 178 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 33.33333 0 3 51.00000 33.33333 34.6% - 0s H 0 0 34.0000000 33.33333 1.96% - 0s Explored 0 nodes (236 simplex iterations) in 0.01 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 3.400000000000e+01, best bound 3.400000000000e+01, gap 0.0% Preprocessing time: 0.07 seconds Gurobi run time: 0.01 seconds Total run time: 0.08 seconds Objective: 34 Solution: 1 x [12, 23, 23] 1 x [22, 26, 64] 1 x [11, 20, 21] 1 x [7, 18, 19] 2 x [15, 17, 50] 1 x [5, 14, 16] 1 x [10, 15, 68] 1 x [3, 13, 65] 1 x [2, 9, 63] 2 x [8, 43, 49] 1 x [1, 6, 58] 3 x [4, 30, 61] 1 x [53, 66, 69] 1 x [52, 63, 67] 1 x [24, 26, 64] 1 x [46, 57, 62] 2 x [26, 41, 60] 1 x [45, 54, 59] 2 x [28, 43, 56] 2 x [34, 42, 55] 1 x [44, 49, 51] 1 x [35, 47, 48] 1 x [31, 42] 1 x [29, 38, 40] 1 x [39, 39] 1 x [27, 36, 37] 1 x [25, 32, 33]