Build (method = -2) #dp: 36043 Step-3' Graph: 2056 vertices and 7095 arcs (0.46s) Step-4' Graph: 907 vertices and 4797 arcs (0.47s) #V4/#V3 = 0.44 #A4/#A3 = 0.68 Ready! (0.47s) Optimize a model with 1027 rows, 4798 columns and 12584 nonzeros Presolve removed 134 rows and 134 columns Presolve time: 0.04s Presolved: 893 rows, 4664 columns, 12502 nonzeros Variable types: 0 continuous, 4664 integer (3106 binary) Found heuristic solution: objective 82.0000000 Optimize a model with 893 rows, 4664 columns and 12502 nonzeros Presolved: 893 rows, 4664 columns, 12502 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 7.698e+03 Factor NZ : 4.541e+04 (roughly 3 MBytes of memory) Factor Ops : 4.203e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.86043453e+03 -1.37592301e+04 2.97e+04 2.47e-01 1.57e+01 0s 1 7.92455502e+02 -7.92361451e+03 5.71e+03 5.55e-16 3.43e+00 0s 2 2.49234936e+02 -2.14710454e+03 8.16e+02 7.77e-16 5.53e-01 0s 3 1.26977769e+02 -4.86210493e+02 2.09e+02 6.11e-16 1.42e-01 0s 4 8.06783550e+01 -1.07820525e+02 5.06e+01 3.13e-14 3.74e-02 0s 5 6.85380453e+01 -1.05711636e+01 1.66e+01 4.11e-14 1.28e-02 0s 6 6.21076237e+01 1.90112133e+01 5.00e+00 1.80e-14 5.62e-03 0s 7 5.89997213e+01 2.93012225e+01 2.76e+00 2.05e-14 3.63e-03 0s 8 5.67725773e+01 3.81819918e+01 1.74e+00 4.13e-14 2.21e-03 0s 9 5.60075112e+01 4.14560403e+01 1.45e+00 2.22e-14 1.72e-03 0s 10 5.49350926e+01 4.41572451e+01 9.60e-01 4.29e-14 1.24e-03 0s 11 5.43737123e+01 4.67120560e+01 6.72e-01 3.26e-14 8.74e-04 0s 12 5.42387281e+01 5.29041258e+01 2.21e-01 2.42e-14 1.52e-04 0s 13 5.40007100e+01 5.39794069e+01 1.31e-04 4.06e-14 2.29e-06 0s 14 5.40000008e+01 5.39999794e+01 6.56e-14 2.86e-14 2.29e-09 0s 15 5.40000000e+01 5.40000000e+01 5.74e-14 3.24e-14 2.29e-12 0s Barrier solved model in 15 iterations and 0.10 seconds Optimal objective 5.40000000e+01 Root relaxation: objective 5.400000e+01, 3484 iterations, 0.14 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time * 0 0 0 54.0000000 54.00000 0.0% - 0s Explored 0 nodes (4356 simplex iterations) in 0.29 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 5.400000000000e+01, best bound 5.400000000000e+01, gap 0.0% Preprocessing time: 0.49 seconds Gurobi run time: 0.29 seconds Total run time: 0.78 seconds Objective: 54 Solution: 1 x [41, 116] 1 x [64] 1 x [10, 27] 1 x [14, 104] 1 x [57, 74] 1 x [65, 98] 1 x [24, 36] 1 x [85, 93, 101] 1 x [109, 111] 1 x [2, 70, 78] 1 x [55, 100, 115] 1 x [68, 73] 1 x [26] 1 x [67, 92] 1 x [9, 69] 1 x [7, 38, 46] 1 x [25] 1 x [11, 30] 1 x [34, 88] 1 x [87, 89] 1 x [51, 81, 97] 1 x [20, 23] 1 x [1, 19] 1 x [21, 43, 107] 1 x [33, 52, 94] 1 x [75, 117] 1 x [3, 39] 1 x [12, 29, 71] 1 x [5, 62] 1 x [13, 79] 1 x [48, 49] 1 x [6, 42] 1 x [80, 86] 1 x [54, 84] 1 x [83, 95] 1 x [37, 63] 1 x [15, 114] 1 x [47, 96, 112] 1 x [44, 113] 1 x [106] 1 x [53, 82] 1 x [102, 119] 1 x [91, 105] 1 x [56, 61] 1 x [17, 90, 120] 1 x [8, 72, 110] 1 x [31, 45] 1 x [16, 108] 1 x [50, 58, 118] 1 x [32, 60, 99] 1 x [22, 28, 66, 76] 1 x [4, 18, 59] 1 x [40, 103] 1 x [35, 77]