Build (method = -2) #dp: 8506 Step-3' Graph: 187 vertices and 1998 arcs (0.04s) Step-4' Graph: 92 vertices and 1808 arcs (0.04s) #V4/#V3 = 0.49 #A4/#A3 = 0.90 Ready! (0.04s) Optimize a model with 177 rows, 1809 columns and 5247 nonzeros Presolve removed 15 rows and 34 columns Presolve time: 0.04s Presolved: 162 rows, 1775 columns, 4810 nonzeros Variable types: 0 continuous, 1775 integer (1503 binary) Found heuristic solution: objective 74.0000000 Optimize a model with 162 rows, 1775 columns and 4810 nonzeros Presolved: 162 rows, 1775 columns, 4810 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.792e+03 Factor NZ : 5.382e+03 Factor Ops : 2.602e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.58915609e+03 -1.66977016e+04 1.60e+04 2.51e-01 4.83e+01 0s 1 1.16246557e+03 -3.18881703e+03 2.82e+03 8.88e-16 8.32e+00 0s 2 1.62843028e+02 -8.40985204e+02 1.24e+02 8.88e-16 5.78e-01 0s 3 7.68343760e+01 -1.09327808e+02 1.10e+01 8.88e-16 7.39e-02 0s 4 5.20351013e+01 -2.98201191e+01 2.99e+00 6.66e-16 2.74e-02 0s 5 4.59128666e+01 1.32328562e+00 1.72e+00 4.09e-16 1.41e-02 0s 6 4.15515275e+01 2.43288980e+01 9.27e-01 4.44e-16 5.19e-03 0s 7 3.77785982e+01 2.88552150e+01 3.64e-01 6.66e-16 2.59e-03 0s 8 3.55939456e+01 3.07767621e+01 6.77e-02 4.44e-16 1.36e-03 0s 9 3.48542193e+01 3.25149358e+01 3.08e-02 3.40e-16 6.61e-04 0s 10 3.45351296e+01 3.30767745e+01 1.65e-02 4.72e-16 4.11e-04 0s 11 3.43187722e+01 3.32838535e+01 8.62e-03 6.66e-16 2.91e-04 0s 12 3.41105193e+01 3.36132419e+01 2.11e-03 3.33e-16 1.40e-04 0s 13 3.40085736e+01 3.38928232e+01 2.94e-04 4.44e-16 3.25e-05 0s 14 3.39766651e+01 3.39371236e+01 3.75e-05 3.00e-16 1.11e-05 0s 15 3.39693164e+01 3.39553176e+01 6.25e-06 4.44e-16 3.93e-06 0s 16 3.39683763e+01 3.39637991e+01 3.64e-06 4.44e-16 1.28e-06 0s 17 3.39674694e+01 3.39663091e+01 9.24e-07 3.33e-16 3.26e-07 0s 18 3.39670396e+01 3.39670180e+01 7.61e-09 3.33e-16 6.08e-09 0s 19 3.39670330e+01 3.39670330e+01 2.19e-13 5.55e-16 6.08e-12 0s Barrier solved model in 19 iterations and 0.02 seconds Optimal objective 3.39670330e+01 Root relaxation: objective 3.396703e+01, 175 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 33.96703 0 81 74.00000 33.96703 54.1% - 0s H 0 0 46.0000000 33.96703 26.2% - 0s H 0 0 35.0000000 33.96703 2.95% - 0s 0 0 34.00000 0 18 35.00000 34.00000 2.86% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (1399 simplex iterations) in 0.29 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: 0.06 seconds Gurobi run time: 0.29 seconds Total run time: 0.35 seconds Objective: 34 Solution: 1 x [17, 74] 1 x [27, 81] 1 x [16, 69, 73] 1 x [21, 39, 70] 2 x [25, 65, 70] 1 x [22, 72, 84] 1 x [11, 18, 78] 1 x [32, 60, 66] 1 x [42, 59, 71] 1 x [23, 57, 80] 1 x [3, 5, 76] 1 x [6, 22, 82] 1 x [26, 63, 80] 1 x [36, 68, 77] 1 x [49, 64, 85] 1 x [50, 55, 61] 1 x [47, 52, 56] 1 x [41, 46, 51] 1 x [19, 45, 62] 1 x [29, 44, 83] 1 x [43, 53, 58] 1 x [38, 54, 75] 1 x [1, 33, 40] 1 x [8, 24, 34] 1 x [7, 30, 48] 1 x [2, 28, 37] 1 x [4, 14, 33] 1 x [8, 13, 35] 1 x [14, 15, 42] 1 x [15, 62, 79] 1 x [12, 20, 31] 1 x [9, 14, 48] 1 x [10, 10, 67]