Build (method = -2) #dp: 4644 Step-3' Graph: 91 vertices and 636 arcs (0.03s) Step-4' Graph: 48 vertices and 550 arcs (0.03s) #V4/#V3 = 0.53 #A4/#A3 = 0.86 Ready! (0.03s) Optimize a model with 88 rows, 551 columns and 1564 nonzeros Presolve removed 4 rows and 5 columns Presolve time: 0.01s Presolved: 84 rows, 546 columns, 1557 nonzeros Variable types: 0 continuous, 546 integer (86 binary) Found heuristic solution: objective 625.0000000 Found heuristic solution: objective 493.0000000 Optimize a model with 84 rows, 546 columns and 1557 nonzeros Presolved: 84 rows, 546 columns, 1557 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 8.900e+02 Factor NZ : 1.836e+03 Factor Ops : 5.243e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.65825859e+04 -3.45744507e+04 1.47e+04 1.31e-01 2.76e+02 0s 1 3.45153259e+03 -9.36610612e+03 1.70e+03 6.66e-16 3.53e+01 0s 2 9.58227717e+02 -3.27185656e+03 2.11e+02 1.67e-15 6.18e+00 0s 3 5.10397536e+02 -7.46148443e+02 1.64e+01 2.00e-15 1.23e+00 0s 4 2.74303115e+02 -2.38997959e+02 2.22e+00 6.66e-16 4.65e-01 0s 5 1.95912088e+02 -2.58176458e+01 9.77e-01 4.44e-16 2.00e-01 0s 6 1.74977626e+02 8.21734125e+01 4.36e-01 2.70e-16 8.30e-02 0s 7 1.67044236e+02 1.53994852e+02 7.40e-02 2.64e-16 1.16e-02 0s 8 1.64508308e+02 1.64460593e+02 2.94e-13 3.23e-16 4.23e-05 0s 9 1.64500000e+02 1.64500000e+02 3.37e-13 3.33e-16 3.93e-10 0s Barrier solved model in 9 iterations and 0.00 seconds Optimal objective 1.64500000e+02 Root relaxation: objective 1.645000e+02, 440 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 164.50000 0 9 493.00000 164.50000 66.6% - 0s H 0 0 165.0000000 164.50000 0.30% - 0s Explored 0 nodes (543 simplex iterations) in 0.03 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.650000000000e+02, best bound 1.650000000000e+02, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.03 seconds Total run time: 0.06 seconds Objective: 165 Solution: 2 x [12, 29, 30, 37] 3 x [12, 15, 21, 32] 22 x [3, 12, 28, 34] 5 x [6, 7, 9, 22] 1 x [13, 15, 22, 23] 23 x [18, 23, 24, 36] 5 x [7, 10, 23, 40] 2 x [7, 10, 24, 40] 1 x [22, 24, 29, 31] 10 x [14, 22, 29, 39] 5 x [14, 22, 27, 33] 1 x [14, 22, 26, 29] 2 x [14, 14, 29, 37] 15 x [21, 31, 33, 38] 13 x [10, 21, 25, 35] 1 x [2, 15, 22, 33] 1 x [22, 29, 30, 34] 6 x [8, 15, 20, 34] 11 x [15, 15, 29, 37] 20 x [1, 11, 19, 35] 1 x [7, 11, 17, 19] 1 x [9, 21, 32, 35] 1 x [22, 35] 1 x [3, 17, 25, 28] 1 x [4, 16, 17, 25] 11 x [4, 5, 7, 37]