Build (method = -2) #dp: 5522 Step-3' Graph: 107 vertices and 3335 arcs (0.02s) Step-4' Graph: 100 vertices and 3321 arcs (0.02s) #V4/#V3 = 0.93 #A4/#A3 = 1.00 Ready! (0.02s) Optimize a model with 220 rows, 3322 columns and 9770 nonzeros Presolve removed 49 rows and 49 columns Presolve time: 0.04s Presolved: 171 rows, 3273 columns, 9506 nonzeros Variable types: 0 continuous, 3273 integer (3095 binary) Found heuristic solution: objective 113.0000000 Optimize a model with 171 rows, 3273 columns and 9506 nonzeros Presolved: 171 rows, 3273 columns, 9506 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.116e+03 Factor NZ : 9.013e+03 (roughly 1 MByte of memory) Factor Ops : 6.495e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 2.26511475e+03 -1.34811827e+04 7.40e+03 9.38e-02 7.38e+00 0s 1 7.27180446e+02 -1.94161943e+03 9.94e+02 4.44e-16 1.07e+00 0s 2 2.01831426e+02 -3.08379973e+02 1.36e+02 3.89e-16 1.72e-01 0s 3 7.33046355e+01 -2.75956699e+01 7.90e+00 9.99e-16 2.06e-02 0s 4 6.12036042e+01 2.82005115e+01 1.39e-01 2.56e-16 5.09e-03 0s 5 5.62786374e+01 3.90009230e+01 3.65e-02 1.21e-04 2.65e-03 0s 6 5.54399308e+01 4.10410636e+01 2.93e-02 3.26e-16 2.21e-03 0s 7 5.42843065e+01 4.49754673e+01 2.11e-02 3.38e-16 1.42e-03 0s 8 5.32869455e+01 4.66864532e+01 1.59e-02 3.90e-16 1.01e-03 0s 9 5.29880940e+01 4.77025764e+01 1.42e-02 3.28e-16 8.09e-04 0s 10 5.23986533e+01 4.86761699e+01 1.09e-02 3.17e-16 5.69e-04 0s 11 5.15117436e+01 4.92866042e+01 6.27e-03 2.50e-16 3.40e-04 0s 12 5.05688594e+01 4.95306433e+01 2.05e-03 2.49e-16 1.59e-04 0s 13 5.03840264e+01 4.96921025e+01 1.43e-03 2.71e-16 1.06e-04 0s 14 5.01220109e+01 4.98137346e+01 5.76e-04 2.63e-16 4.71e-05 0s 15 5.00483998e+01 4.98234455e+01 3.57e-04 3.06e-16 3.44e-05 0s 16 5.00081244e+01 4.98572327e+01 2.51e-04 2.81e-16 2.31e-05 0s 17 4.99727667e+01 4.98842612e+01 1.53e-04 2.03e-16 1.35e-05 0s 18 4.99296068e+01 4.98979061e+01 3.40e-05 2.66e-16 4.85e-06 0s 19 4.99131354e+01 4.99102465e+01 1.77e-06 3.01e-16 4.42e-07 0s 20 4.99115763e+01 4.99115529e+01 4.85e-09 2.57e-16 3.58e-09 0s 21 4.99115646e+01 4.99115646e+01 2.24e-13 4.40e-16 5.31e-15 0s Barrier solved model in 21 iterations and 0.04 seconds Optimal objective 4.99115646e+01 Root relaxation: objective 4.991156e+01, 494 iterations, 0.05 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 49.91156 0 37 113.00000 49.91156 55.8% - 0s H 0 0 51.0000000 49.91156 2.13% - 0s H 0 0 50.0000000 49.91156 0.18% - 0s Explored 0 nodes (1378 simplex iterations) in 0.20 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 5.000000000000e+01, best bound 5.000000000000e+01, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.20 seconds Total run time: 0.24 seconds Objective: 50 Solution: 1 x [37, 85] 1 x [18, 50] 1 x [1, 43] 1 x [67, 112] 1 x [47, 94] 1 x [20, 86] 1 x [11, 62] 1 x [4, 24] 1 x [7, 8, 10] 1 x [53, 118] 1 x [45, 95] 1 x [5, 16, 30] 1 x [28, 54, 76] 1 x [2, 35, 52] 1 x [55, 79] 1 x [6, 23] 1 x [93, 108] 1 x [80, 84] 1 x [42, 60, 66] 1 x [13, 27, 89] 1 x [72, 99] 1 x [75, 104] 1 x [34, 90] 1 x [109, 116] 1 x [3, 91, 113] 1 x [29, 103] 1 x [25, 111] 1 x [87, 117] 1 x [14, 107] 1 x [22, 32, 51] 1 x [38, 65, 96] 1 x [49, 74] 1 x [17, 56, 119] 1 x [57, 100] 1 x [19, 48] 1 x [12, 64] 1 x [26, 44] 1 x [9, 58, 77] 1 x [41, 68] 1 x [102, 106] 1 x [61, 98] 1 x [33, 70, 97] 1 x [21, 69, 105] 1 x [59, 78, 82] 1 x [39, 71, 101] 1 x [31, 83, 110] 1 x [15, 115, 120] 1 x [36, 40, 114] 1 x [46, 73, 92] 1 x [63, 81, 88]