Build (method = -2) #dp: 39498 Step-3' Graph: 2257 vertices and 6764 arcs (0.55s) Step-4' Graph: 1602 vertices and 5454 arcs (0.56s) #V4/#V3 = 0.71 #A4/#A3 = 0.81 Ready! (0.56s) Optimize a model with 1662 rows, 5455 columns and 13165 nonzeros Presolve removed 25 rows and 44 columns Presolve time: 0.04s Presolved: 1637 rows, 5411 columns, 13112 nonzeros Variable types: 0 continuous, 5411 integer (86 binary) Optimize a model with 1637 rows, 5411 columns and 13112 nonzeros Presolved: 1637 rows, 5411 columns, 13112 nonzeros Root barrier log... Ordering time: 0.01s Barrier statistics: AA' NZ : 9.683e+03 Factor NZ : 6.894e+04 (roughly 3 MBytes of memory) Factor Ops : 5.513e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.39304952e+04 -6.67323235e+05 1.07e+06 1.85e-01 6.11e+02 0s 1 6.28265974e+03 -3.83446259e+05 1.24e+05 2.03e-02 9.02e+01 0s 2 2.06834406e+03 -1.10324256e+05 2.36e+04 1.44e-03 1.85e+01 0s 3 1.19320123e+03 -2.41207255e+04 6.14e+03 4.88e-15 4.32e+00 0s 4 8.09130142e+02 -1.14694526e+04 1.51e+03 1.15e-14 1.58e+00 0s 5 7.38893699e+02 -5.98611080e+03 8.45e+02 6.22e-15 8.22e-01 0s 6 6.59184288e+02 -2.74930697e+03 2.96e+02 2.22e-15 3.65e-01 0s 7 5.96404044e+02 -1.90862730e+03 1.19e+02 1.55e-15 2.47e-01 0s 8 4.92309032e+02 -8.84860036e+02 4.21e+01 1.11e-15 1.31e-01 0s 9 4.00914464e+02 -5.82382163e+02 2.53e+01 7.77e-16 9.28e-02 0s 10 3.76366809e+02 -5.03759809e+02 2.28e+01 6.66e-16 8.31e-02 0s 11 3.28113684e+02 -2.98788373e+02 1.76e+01 4.44e-16 5.91e-02 0s 12 2.84107080e+02 -1.69537058e+02 1.32e+01 3.33e-16 4.27e-02 0s 13 2.67374203e+02 -1.55789305e+02 1.12e+01 2.90e-16 3.97e-02 0s 14 2.46144992e+02 1.20900311e+01 7.95e+00 2.58e-16 2.19e-02 0s 15 2.26324336e+02 3.26824864e+01 5.18e+00 3.33e-16 1.81e-02 0s 16 2.12637887e+02 1.10071279e+02 3.41e+00 3.33e-16 9.58e-03 0s 17 2.09049397e+02 1.19209758e+02 3.02e+00 3.33e-16 8.39e-03 0s 18 1.95667616e+02 1.43937583e+02 1.55e+00 2.22e-16 4.82e-03 0s 19 1.90232716e+02 1.65277418e+02 7.17e-01 2.22e-16 2.33e-03 0s 20 1.87299363e+02 1.78403437e+02 3.06e-01 3.33e-16 8.30e-04 0s 21 1.85404903e+02 1.82505741e+02 6.75e-03 2.22e-16 2.67e-04 0s 22 1.85157616e+02 1.84609901e+02 1.15e-03 3.33e-16 5.05e-05 0s 23 1.85112439e+02 1.85086620e+02 2.36e-05 3.33e-16 2.38e-06 0s 24 1.85110000e+02 1.85109997e+02 1.63e-09 3.05e-16 2.54e-10 0s 25 1.85110000e+02 1.85110000e+02 9.90e-12 3.05e-16 2.54e-13 0s Barrier solved model in 25 iterations and 0.23 seconds Optimal objective 1.85110000e+02 Root relaxation: objective 1.851100e+02, 2332 iterations, 0.35 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 185.11000 0 182 - 185.11000 - - 1s H 0 0 195.0000000 185.11000 5.07% - 1s H 0 0 187.0000000 185.11000 1.01% - 1s H 0 0 186.0000000 185.11000 0.48% - 1s Explored 0 nodes (8481 simplex iterations) in 1.95 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.860000000000e+02, best bound 1.860000000000e+02, gap 0.0% Preprocessing time: 0.59 seconds Gurobi run time: 1.95 seconds Total run time: 2.54 seconds Objective: 186 Solution: 3 x [13, 25, 29, 47] 7 x [21, 25, 27, 29] 14 x [12, 25, 29, 55] 2 x [25, 29, 55, 56] 1 x [20, 23, 29, 33] 1 x [29, 33, 47] 2 x [12, 29, 34, 41, 50] 1 x [6, 10, 11, 17, 24, 27, 29, 34] 2 x [15, 20, 21, 29, 46, 57] 2 x [29, 36, 43, 56] 6 x [11, 41, 45, 58] 4 x [9, 23, 31, 45] 7 x [9, 23, 45, 52] 12 x [9, 33, 38, 45] 1 x [14, 22, 33, 34, 45] 2 x [35, 41, 45, 46, 57] 1 x [12, 38, 45, 56] 1 x [8, 11, 28, 42, 45, 56] 6 x [4, 27, 33, 37, 51, 52] 3 x [5, 24, 27, 33, 47, 51, 52] 2 x [10, 13, 28, 34, 46, 50, 52] 3 x [10, 11, 13, 17, 24, 34, 46, 52] 5 x [10, 11, 17, 18, 24, 27, 34, 52] 8 x [23, 26, 48, 50, 54] 4 x [14, 22, 26, 34, 48] 1 x [10, 11, 17, 24, 27, 34, 35, 48] 10 x [32, 43, 48, 56] 6 x [9, 12, 24, 35, 39] 3 x [12, 24, 35, 39, 51] 1 x [8, 11, 12, 28, 35, 39] 6 x [11, 12, 28, 35, 39, 59] 7 x [1, 34, 39, 44, 53] 2 x [7, 20, 34, 39, 44] 2 x [12, 13, 18, 56] 3 x [1, 8, 13, 16, 36] 1 x [1, 13, 16, 34, 36] 1 x [9, 13, 16, 23, 54] 10 x [1, 8, 13, 30, 53] 4 x [9, 21, 23, 42, 56] 1 x [11, 20, 43, 56] 1 x [2, 8, 11, 28, 51, 56] 1 x [3, 8, 34, 40, 46, 50, 51, 59] 1 x [3, 8, 34, 40, 46, 51, 57, 59] 3 x [3, 19, 27, 28, 37, 40, 46, 59, 60] 3 x [4, 11, 14, 32, 37, 40, 47, 49, 55, 59] 13 x [4, 17, 19, 32, 37, 40, 49, 55, 59] 6 x [4, 5, 19, 27, 42, 43, 46, 49, 59]