Build (method = -2) #dp: 3332 Step-3' Graph: 91 vertices and 1141 arcs (0.01s) Step-4' Graph: 70 vertices and 1099 arcs (0.01s) #V4/#V3 = 0.77 #A4/#A3 = 0.96 Ready! (0.01s) Optimize a model with 137 rows, 1100 columns and 3164 nonzeros Presolve removed 28 rows and 43 columns Presolve time: 0.02s Presolved: 109 rows, 1057 columns, 3039 nonzeros Variable types: 0 continuous, 1057 integer (202 binary) Found heuristic solution: objective 187.0000000 Found heuristic solution: objective 153.0000000 Optimize a model with 109 rows, 1057 columns and 3039 nonzeros Presolved: 109 rows, 1057 columns, 3039 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.636e+03 Factor NZ : 3.040e+03 Factor Ops : 1.159e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.28190773e+03 -1.52176905e+04 2.38e+04 1.56e-01 8.32e+01 0s 1 1.46149508e+03 -5.40485040e+03 3.46e+03 1.11e-15 1.33e+01 0s 2 3.18917556e+02 -1.93734108e+03 2.79e+02 4.66e-15 1.73e+00 0s 3 1.82085670e+02 -2.63603568e+02 2.43e+01 2.89e-15 2.42e-01 0s 4 1.28083671e+02 -4.59397054e+01 2.64e+00 2.11e-15 8.33e-02 0s 5 1.06409590e+02 1.09545841e+01 1.07e+00 2.12e-15 4.51e-02 0s 6 9.56620681e+01 4.65965103e+01 3.80e-01 2.35e-15 2.30e-02 0s 7 9.07502157e+01 7.17333709e+01 7.45e-02 3.02e-15 8.86e-03 0s 8 8.85872819e+01 8.07679633e+01 1.66e-02 2.37e-15 3.64e-03 0s 9 8.81054559e+01 8.27713945e+01 1.00e-02 2.54e-15 2.48e-03 0s 10 8.73450754e+01 8.57137611e+01 1.32e-03 2.73e-15 7.59e-04 0s 11 8.71070901e+01 8.68378987e+01 1.62e-04 2.11e-15 1.25e-04 0s 12 8.70547597e+01 8.70060900e+01 1.62e-05 2.32e-15 2.26e-05 0s 13 8.70456499e+01 8.70448406e+01 1.90e-07 2.90e-15 3.77e-07 0s 14 8.70454545e+01 8.70454545e+01 2.62e-12 1.78e-15 3.02e-12 0s Barrier solved model in 14 iterations and 0.01 seconds Optimal objective 8.70454545e+01 Root relaxation: objective 8.704545e+01, 145 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 87.04545 0 43 153.00000 87.04545 43.1% - 0s H 0 0 88.0000000 87.04545 1.08% - 0s Explored 0 nodes (211 simplex iterations) in 0.06 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.800000000000e+01, best bound 8.800000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.06 seconds Total run time: 0.08 seconds Objective: 88 Solution: 2 x [20, 67] 2 x [19, 66] 3 x [21, 65] 4 x [23, 64] 1 x [25, 63] 2 x [24, 63] 2 x [19, 62] 2 x [27, 61] 1 x [28, 60] 1 x [26, 60] 1 x [29, 59] 4 x [22, 59] 1 x [30, 58] 2 x [31, 57] 1 x [30, 57] 2 x [32, 56] 1 x [33, 55] 2 x [32, 55] 1 x [34, 54] 1 x [33, 54] 3 x [2, 4, 54] 1 x [3, 54] 1 x [3, 3, 54] 1 x [35, 53] 1 x [1, 7, 53] 1 x [36, 52] 3 x [37, 51] 1 x [6, 51] 3 x [38, 50] 1 x [36, 50] 3 x [39, 49] 2 x [40, 48] 1 x [5, 8, 48] 1 x [7, 48] 4 x [41, 47] 1 x [42, 46] 1 x [41, 46] 1 x [2, 13, 46] 1 x [6, 9, 46] 1 x [7, 8, 46] 2 x [43, 45] 2 x [44, 44] 1 x [5, 13, 43] 2 x [7, 13, 41] 1 x [9, 14, 38] 1 x [6, 38] 1 x [9, 15, 37] 1 x [10, 15, 36] 2 x [11, 14, 36] 1 x [12, 13, 36] 1 x [13, 14, 35] 1 x [15, 15, 32] 1 x [15, 16, 31] 1 x [16, 20, 25] 1 x [17, 18, 25] 1 x [16, 18, 25]