Build (method = -2) #dp: 7555 Step-3' Graph: 226 vertices and 1592 arcs (0.04s) Step-4' Graph: 154 vertices and 1448 arcs (0.04s) #V4/#V3 = 0.68 #A4/#A3 = 0.91 Ready! (0.04s) Optimize a model with 200 rows, 1449 columns and 4043 nonzeros Presolve removed 39 rows and 60 columns Presolve time: 0.03s Presolved: 161 rows, 1389 columns, 4005 nonzeros Variable types: 0 continuous, 1389 integer (1067 binary) Found heuristic solution: objective 37.0000000 Optimize a model with 161 rows, 1389 columns and 4005 nonzeros Presolved: 161 rows, 1389 columns, 4005 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.375e+03 Factor NZ : 5.881e+03 Factor Ops : 2.588e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.10211815e+03 -4.87799421e+03 4.09e+03 1.60e-01 9.78e+00 0s 1 3.10914794e+02 -1.56264847e+03 7.26e+02 4.44e-16 1.93e+00 0s 2 8.74980301e+01 -2.93558798e+02 1.13e+02 8.88e-16 3.13e-01 0s 3 3.55397757e+01 -5.24515545e+01 1.50e+01 5.00e-16 5.36e-02 0s 4 2.13405485e+01 -1.24543036e+01 1.91e+00 1.11e-15 1.43e-02 0s 5 1.90597735e+01 4.99696745e+00 8.69e-01 6.66e-16 5.61e-03 0s 6 1.88488906e+01 7.41533550e+00 4.04e-01 8.21e-05 4.32e-03 0s 7 1.72331836e+01 1.26540332e+01 1.61e-01 6.66e-16 1.69e-03 0s 8 1.64093069e+01 1.49368313e+01 2.33e-02 8.88e-16 5.33e-04 0s 9 1.61893707e+01 1.55424119e+01 8.56e-03 5.24e-16 2.33e-04 0s 10 1.60501280e+01 1.57868946e+01 1.07e-03 5.69e-16 9.48e-05 0s 11 1.60022825e+01 1.58849344e+01 3.31e-04 8.88e-16 4.22e-05 0s 12 1.59784726e+01 1.59084795e+01 1.29e-04 8.88e-16 2.52e-05 0s 13 1.59680594e+01 1.59326046e+01 6.05e-05 6.66e-16 1.28e-05 0s 14 1.59624373e+01 1.59419781e+01 3.32e-05 8.88e-16 7.36e-06 0s 15 1.59573165e+01 1.59476035e+01 1.12e-05 6.66e-16 3.50e-06 0s 16 1.59552807e+01 1.59506765e+01 4.26e-06 8.88e-16 1.66e-06 0s 17 1.59543866e+01 1.59528923e+01 1.88e-06 6.66e-16 5.38e-07 0s 18 1.59538231e+01 1.59535315e+01 5.11e-07 4.44e-16 1.05e-07 0s 19 1.59536114e+01 1.59536008e+01 1.04e-08 4.44e-16 3.83e-09 0s 20 1.59536036e+01 1.59536036e+01 4.33e-12 1.11e-15 5.48e-12 0s Barrier solved model in 20 iterations and 0.02 seconds Optimal objective 1.59536036e+01 Root relaxation: objective 1.595360e+01, 85 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 15.95360 0 76 37.00000 15.95360 56.9% - 0s H 0 0 17.0000000 15.95360 6.16% - 0s 0 0 15.95447 0 83 17.00000 15.95447 6.15% - 0s 0 0 15.96774 0 61 17.00000 15.96774 6.07% - 0s H 0 0 16.0000000 15.96774 0.20% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (318 simplex iterations) in 0.25 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.600000000000e+01, best bound 1.600000000000e+01, gap 0.0% Preprocessing time: 0.05 seconds Gurobi run time: 0.25 seconds Total run time: 0.30 seconds Objective: 16 Solution: 1 x [12, 13, 35] 1 x [9, 31, 44] 1 x [4, 5, 8, 26] 1 x [16, 21] 1 x [18, 21, 46] 1 x [20, 22, 43] 1 x [2, 14, 24] 1 x [3, 11, 28] 1 x [19, 27, 32] 1 x [23, 29, 36] 1 x [15, 30, 39] 1 x [7, 10, 25, 38] 1 x [6, 40, 42] 1 x [1, 7, 34, 44] 1 x [41, 44, 45] 1 x [17, 33, 37]