Build (method = -2) #dp: 1501 Step-3' Graph: 86 vertices and 838 arcs (0.01s) Step-4' Graph: 81 vertices and 828 arcs (0.01s) #V4/#V3 = 0.94 #A4/#A3 = 0.99 Ready! (0.01s) Optimize a model with 120 rows, 829 columns and 2329 nonzeros Presolve removed 22 rows and 22 columns Presolve time: 0.03s Presolved: 98 rows, 807 columns, 2273 nonzeros Variable types: 0 continuous, 807 integer (511 binary) Found heuristic solution: objective 31.0000000 Optimize a model with 98 rows, 807 columns and 2273 nonzeros Presolved: 98 rows, 807 columns, 2273 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.354e+03 Factor NZ : 2.837e+03 Factor Ops : 1.050e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.30480737e+02 -2.27664024e+03 1.32e+03 1.19e-01 8.27e+00 0s 1 2.26894195e+02 -8.26178184e+02 3.48e+02 7.22e-16 2.24e+00 0s 2 7.12602638e+01 -2.28866995e+02 3.60e+01 7.22e-16 3.28e-01 0s 3 3.22961785e+01 -1.52008701e+01 1.50e+00 5.00e-16 3.38e-02 0s 4 2.61561276e+01 8.62576904e+00 6.04e-01 6.66e-16 1.17e-02 0s 5 2.35880005e+01 1.40551802e+01 3.35e-01 5.55e-16 6.21e-03 0s 6 2.20337910e+01 1.64660437e+01 1.99e-01 6.66e-16 3.58e-03 0s 7 2.15502298e+01 1.80187511e+01 1.49e-01 4.85e-16 2.25e-03 0s 8 2.04304481e+01 1.88435732e+01 3.17e-02 6.66e-16 9.92e-04 0s 9 2.00831125e+01 1.93911273e+01 1.26e-02 4.44e-16 4.31e-04 0s 10 1.98696888e+01 1.95977021e+01 2.09e-03 4.51e-16 1.68e-04 0s 11 1.97851176e+01 1.96772991e+01 6.58e-04 5.26e-16 6.67e-05 0s 12 1.97570213e+01 1.97226987e+01 2.56e-04 6.02e-16 2.12e-05 0s 13 1.97429333e+01 1.97349532e+01 6.81e-05 4.44e-16 4.94e-06 0s 14 1.97374653e+01 1.97372930e+01 9.36e-07 6.66e-16 1.07e-07 0s 15 1.97373738e+01 1.97373737e+01 1.57e-10 5.98e-16 1.42e-11 0s Barrier solved model in 15 iterations and 0.01 seconds Optimal objective 1.97373738e+01 Root relaxation: objective 1.973737e+01, 70 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 19.73737 0 33 31.00000 19.73737 36.3% - 0s H 0 0 22.0000000 19.73737 10.3% - 0s H 0 0 21.0000000 19.73737 6.01% - 0s 0 0 19.78571 0 35 21.00000 19.78571 5.78% - 0s H 0 0 20.0000000 19.78571 1.07% - 0s Cutting planes: Gomory: 1 Zero half: 1 Explored 0 nodes (202 simplex iterations) in 0.09 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.000000000000e+01, best bound 2.000000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.09 seconds Total run time: 0.11 seconds Objective: 20 Solution: 1 x [2, 11, 39] 1 x [1, 11, 38] 1 x [18, 37] 1 x [19, 36] 1 x [18, 36] 1 x [5, 10, 36] 1 x [20, 35] 1 x [21, 34] 1 x [4, 14, 34] 1 x [22, 33] 1 x [17, 32] 1 x [24, 31] 1 x [6, 14, 30] 1 x [25, 29] 1 x [7, 13, 29] 1 x [27, 28] 1 x [26, 27] 1 x [3, 17, 23] 1 x [15, 16, 18] 1 x [8, 9, 12, 16]