Build (method = -2) #dp: 2785 Step-3' Graph: 89 vertices and 918 arcs (0.01s) Step-4' Graph: 62 vertices and 864 arcs (0.01s) #V4/#V3 = 0.70 #A4/#A3 = 0.94 Ready! (0.01s) Optimize a model with 120 rows, 865 columns and 2476 nonzeros Presolve removed 29 rows and 45 columns Presolve time: 0.02s Presolved: 91 rows, 820 columns, 2346 nonzeros Variable types: 0 continuous, 820 integer (436 binary) Found heuristic solution: objective 68.0000000 Optimize a model with 91 rows, 820 columns and 2346 nonzeros Presolved: 91 rows, 820 columns, 2346 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.253e+03 Factor NZ : 2.437e+03 Factor Ops : 8.094e+04 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.92064294e+03 -3.63767881e+03 7.87e+03 2.64e-01 2.63e+01 0s 1 5.42821072e+02 -1.23731337e+03 1.48e+03 5.55e-16 5.15e+00 0s 2 1.23815717e+02 -4.33367979e+02 9.95e+01 8.88e-16 5.76e-01 0s 3 6.56277087e+01 -3.56166724e+01 4.79e+00 6.66e-16 6.82e-02 0s 4 5.05896394e+01 2.03596191e+01 4.36e-01 6.33e-16 1.85e-02 0s 5 4.69982468e+01 3.23657499e+01 2.11e-01 5.63e-16 8.93e-03 0s 6 4.51533990e+01 3.85137608e+01 9.27e-02 3.75e-16 4.03e-03 0s 7 4.43667224e+01 4.12712886e+01 3.50e-02 4.57e-16 1.87e-03 0s 8 4.39130162e+01 4.21348904e+01 9.53e-03 8.88e-16 1.07e-03 0s 9 4.37007897e+01 4.28698609e+01 4.51e-03 4.63e-16 5.02e-04 0s 10 4.35682074e+01 4.32667830e+01 1.20e-03 5.85e-16 1.82e-04 0s 11 4.35324019e+01 4.33653337e+01 6.25e-04 8.88e-16 1.01e-04 0s 12 4.34958246e+01 4.34629914e+01 1.19e-04 5.55e-16 1.98e-05 0s 13 4.34880740e+01 4.34850035e+01 1.92e-05 6.66e-16 1.85e-06 0s 14 4.34861257e+01 4.34861047e+01 3.64e-08 8.39e-16 1.26e-08 0s 15 4.34861111e+01 4.34861111e+01 1.08e-12 8.88e-16 2.06e-14 0s Barrier solved model in 15 iterations and 0.01 seconds Optimal objective 4.34861111e+01 Root relaxation: objective 4.348611e+01, 214 iterations, 0.01 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 43.48611 0 39 68.00000 43.48611 36.0% - 0s H 0 0 45.0000000 43.48611 3.36% - 0s 0 0 43.51515 0 35 45.00000 43.51515 3.30% - 0s H 0 0 44.0000000 43.51515 1.10% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (345 simplex iterations) in 0.09 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 4.400000000000e+01, best bound 4.400000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.09 seconds Total run time: 0.11 seconds Objective: 44 Solution: 2 x [16, 58] 2 x [15, 58] 1 x [19, 57] 1 x [18, 56] 2 x [17, 56] 1 x [20, 55] 1 x [20, 54] 1 x [2, 9, 54] 1 x [3, 8, 54] 2 x [21, 53] 1 x [1, 53] 1 x [2, 11, 52] 1 x [3, 10, 52] 1 x [22, 51] 1 x [3, 10, 51] 1 x [5, 7, 51] 2 x [23, 50] 1 x [24, 49] 1 x [25, 48] 2 x [26, 47] 1 x [26, 46] 1 x [29, 45] 1 x [28, 44] 1 x [28, 43] 1 x [31, 42] 1 x [32, 41] 1 x [33, 40] 1 x [31, 40] 1 x [30, 40] 1 x [34, 39] 1 x [4, 16, 39] 1 x [35, 38] 1 x [6, 38] 1 x [6, 13, 37] 1 x [6, 14, 36] 1 x [11, 16, 29] 1 x [1, 27, 28] 1 x [12, 12, 26]