Build (method = -2) #dp: 5497 Step-3' Graph: 110 vertices and 2634 arcs (0.02s) Step-4' Graph: 109 vertices and 2632 arcs (0.02s) #V4/#V3 = 0.99 #A4/#A3 = 1.00 Ready! (0.02s) Optimize a model with 185 rows, 2633 columns and 7686 nonzeros Presolve removed 29 rows and 31 columns Presolve time: 0.04s Presolved: 156 rows, 2602 columns, 7584 nonzeros Variable types: 0 continuous, 2602 integer (585 binary) Found heuristic solution: objective 169.0000000 Found heuristic solution: objective 158.0000000 Optimize a model with 156 rows, 2602 columns and 7584 nonzeros Presolved: 156 rows, 2602 columns, 7584 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.598e+03 Factor NZ : 7.505e+03 (roughly 1 MByte of memory) Factor Ops : 4.742e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 5.03814908e+03 -2.50227068e+04 2.06e+04 1.15e-01 3.91e+01 0s 1 1.58459301e+03 -8.17012164e+03 3.59e+03 9.99e-16 7.43e+00 0s 2 3.95511983e+02 -2.80869417e+03 3.76e+02 8.88e-16 1.12e+00 0s 3 2.05885612e+02 -5.72163521e+02 3.09e+01 7.77e-16 1.77e-01 0s 4 1.58902065e+02 -1.42121976e+02 1.03e+01 6.66e-16 6.33e-02 0s 5 1.15630289e+02 -3.41553444e+01 4.24e+00 5.72e-16 3.05e-02 0s 6 9.82333782e+01 4.91828250e+00 1.99e+00 7.20e-16 1.85e-02 0s 7 9.15315799e+01 3.91350766e+01 1.19e+00 7.77e-16 1.03e-02 0s 8 8.74903570e+01 5.26253914e+01 5.71e-01 7.77e-16 6.77e-03 0s 9 8.56256263e+01 6.79159191e+01 3.55e-01 7.37e-16 3.43e-03 0s 10 8.46133721e+01 7.50520246e+01 2.28e-01 6.97e-16 1.84e-03 0s 11 8.32840084e+01 7.83741810e+01 1.04e-01 7.04e-16 9.43e-04 0s 12 8.26325252e+01 8.03802486e+01 4.82e-02 7.77e-16 4.32e-04 0s 13 8.23887911e+01 8.08562924e+01 3.27e-02 7.15e-16 2.94e-04 0s 14 8.21505979e+01 8.11408076e+01 1.80e-02 1.11e-15 1.93e-04 0s 15 8.20445112e+01 8.13256381e+01 1.07e-02 8.11e-16 1.38e-04 0s 16 8.20298563e+01 8.14773032e+01 9.53e-03 7.77e-16 1.06e-04 0s 17 8.19410981e+01 8.16180996e+01 3.92e-03 7.72e-16 6.17e-05 0s 18 8.19005148e+01 8.17409618e+01 1.71e-03 7.35e-16 3.05e-05 0s 19 8.18910099e+01 8.17914473e+01 1.41e-03 6.34e-16 1.90e-05 0s 20 8.18739106e+01 8.18110004e+01 8.40e-04 7.77e-16 1.20e-05 0s 21 8.18573013e+01 8.18310866e+01 3.17e-04 5.93e-16 5.01e-06 0s 22 8.18529733e+01 8.18392218e+01 2.02e-04 7.37e-16 2.63e-06 0s 23 8.18501837e+01 8.18428644e+01 1.18e-04 9.59e-16 1.40e-06 0s 24 8.18456858e+01 8.18439074e+01 1.33e-05 6.80e-16 3.40e-07 0s 25 8.18451106e+01 8.18451070e+01 8.39e-10 6.98e-16 6.97e-10 0s 26 8.18451087e+01 8.18451087e+01 1.01e-12 8.88e-16 1.54e-15 0s Barrier solved model in 26 iterations and 0.05 seconds Optimal objective 8.18451087e+01 Root relaxation: objective 8.184511e+01, 180 iterations, 0.05 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 81.84511 0 57 158.00000 81.84511 48.2% - 0s H 0 0 84.0000000 81.84511 2.57% - 0s H 0 0 83.0000000 81.84511 1.39% - 0s H 0 0 82.0000000 81.84511 0.19% - 0s Explored 0 nodes (342 simplex iterations) in 0.20 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 8.200000000000e+01, best bound 8.200000000000e+01, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.20 seconds Total run time: 0.24 seconds Objective: 82 Solution: 2 x [29, 76] 1 x [27, 76] 1 x [2, 10, 76] 1 x [3, 9, 76] 1 x [30, 75] 1 x [2, 11, 75] 1 x [5, 8, 75] 2 x [6, 7, 75] 2 x [31, 74] 2 x [32, 73] 1 x [31, 73] 1 x [33, 72] 3 x [35, 71] 1 x [34, 71] 2 x [1, 17, 71] 1 x [4, 12, 71] 2 x [36, 70] 2 x [38, 69] 1 x [37, 69] 1 x [39, 68] 3 x [40, 67] 2 x [3, 21, 66] 2 x [41, 65] 1 x [39, 65] 1 x [41, 64] 1 x [6, 20, 64] 2 x [7, 19, 64] 1 x [11, 15, 64] 2 x [13, 13, 64] 4 x [43, 63] 1 x [44, 62] 1 x [43, 62] 2 x [44, 61] 2 x [46, 60] 1 x [47, 59] 1 x [45, 59] 1 x [15, 16, 59] 1 x [48, 58] 1 x [11, 21, 58] 2 x [49, 57] 1 x [50, 56] 1 x [14, 20, 56] 2 x [51, 55] 1 x [52, 54] 1 x [16, 21, 53] 1 x [53, 53] 1 x [18, 20, 52] 2 x [19, 19, 52] 1 x [12, 18, 52] 1 x [20, 24, 45] 1 x [22, 24, 44] 1 x [22, 25, 42] 2 x [24, 25, 41] 1 x [23, 28, 39] 1 x [25, 26, 39] 1 x [19, 33, 37] 1 x [25, 28, 37] 1 x [8, 17, 22, 26]