Build (method = -2) #dp: 5553 Step-3' Graph: 210 vertices and 621 arcs (0.05s) Step-4' Graph: 39 vertices and 279 arcs (0.06s) #V4/#V3 = 0.19 #A4/#A3 = 0.45 Ready! (0.06s) Optimize a model with 83 rows, 280 columns and 768 nonzeros Presolve removed 10 rows and 17 columns Presolve time: 0.00s Presolved: 73 rows, 263 columns, 733 nonzeros Variable types: 0 continuous, 263 integer (48 binary) Found heuristic solution: objective 71.0000000 Found heuristic solution: objective 52.0000000 Optimize a model with 73 rows, 263 columns and 733 nonzeros Presolved: 73 rows, 263 columns, 733 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.990e+02 Factor NZ : 8.110e+02 Factor Ops : 1.415e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.48029915e+02 -7.00252068e+02 2.60e+02 5.72e-02 7.40e+00 0s 1 9.76651216e+01 -3.24777316e+02 2.24e+00 3.33e-16 8.15e-01 0s 2 5.35128501e+01 -1.39259452e+01 6.45e-02 2.50e-16 1.23e-01 0s 3 3.06121716e+01 2.38846020e+01 1.84e-03 2.22e-16 1.21e-02 0s 4 3.00070960e+01 2.99911460e+01 5.37e-14 2.22e-16 2.86e-05 0s 5 3.00000000e+01 3.00000000e+01 1.90e-13 1.85e-16 3.56e-11 0s Barrier solved model in 5 iterations and 0.00 seconds Optimal objective 3.00000000e+01 Root relaxation: objective 3.000000e+01, 194 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 30.00000 0 5 52.00000 30.00000 42.3% - 0s H 0 0 31.0000000 30.00000 3.23% - 0s H 0 0 30.0000000 30.00000 0.0% - 0s Explored 0 nodes (251 simplex iterations) in 0.02 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 3.000000000000e+01, best bound 3.000000000000e+01, gap 0.0% Preprocessing time: 0.06 seconds Gurobi run time: 0.02 seconds Total run time: 0.08 seconds Objective: 30 Solution: 1 x [9, 15, 27, 44] 4 x [20, 26, 33, 43] 1 x [6, 32, 41, 42] 1 x [9, 28, 29, 41] 1 x [1, 4, 21, 41] 1 x [11, 14, 22, 40] 3 x [5, 35, 37, 39] 1 x [11, 21, 36, 38] 1 x [1, 10, 14, 36] 4 x [8, 27, 31, 34] 2 x [2, 30, 31, 33] 1 x [3, 8, 25, 31] 1 x [1, 6, 13, 30] 4 x [12, 17, 23, 24] 1 x [2, 3, 19, 22] 3 x [7, 8, 16, 18]