Build (method = -2) #dp: 8825 Step-3' Graph: 313 vertices and 3753 arcs (0.07s) Step-4' Graph: 211 vertices and 3500 arcs (0.07s) #V4/#V3 = 0.67 #A4/#A3 = 0.93 Ready! (0.07s) Optimize a model with 256 rows, 3501 columns and 10087 nonzeros Presolve removed 13 rows and 18 columns Presolve time: 0.04s Presolved: 243 rows, 3483 columns, 10078 nonzeros Variable types: 0 continuous, 3483 integer (675 binary) Found heuristic solution: objective 81.0000000 Found heuristic solution: objective 73.0000000 Optimize a model with 243 rows, 3483 columns and 10078 nonzeros Presolved: 243 rows, 3483 columns, 10078 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 5.626e+03 Factor NZ : 1.381e+04 (roughly 2 MBytes of memory) Factor Ops : 1.015e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 6.77887838e+03 -4.69646430e+04 4.16e+04 2.34e-01 7.22e+01 0s 1 2.12095944e+03 -1.26852522e+04 9.66e+03 8.88e-16 1.65e+01 0s 2 5.17002001e+02 -5.52722939e+03 1.36e+03 1.11e-15 2.78e+00 0s 3 2.62392204e+02 -1.79282498e+03 2.21e+02 1.33e-15 5.25e-01 0s 4 1.75050277e+02 -4.86212977e+02 5.64e+01 2.33e-15 1.36e-01 0s 5 1.28056964e+02 -2.39009832e+02 2.61e+01 8.88e-16 6.76e-02 0s 6 9.36826513e+01 -1.41476995e+02 1.65e+01 8.88e-16 4.20e-02 0s 7 8.68144212e+01 -1.26251781e+02 1.47e+01 1.03e-15 3.78e-02 0s 8 8.42202767e+01 -1.01359447e+02 1.38e+01 1.01e-15 3.32e-02 0s 9 4.89707005e+01 -3.29835748e+01 6.64e+00 1.11e-15 1.45e-02 0s 10 2.85920319e+01 -1.36595568e+01 3.21e+00 6.66e-16 7.24e-03 0s 11 2.43492100e+01 -6.39060398e+00 1.83e+00 7.98e-16 4.98e-03 0s 12 2.39137485e+01 -2.86520871e+00 1.57e+00 8.26e-16 4.29e-03 0s 13 2.28458079e+01 7.95047235e+00 1.23e+00 8.88e-16 2.36e-03 0s 14 2.06925206e+01 1.31217465e+01 7.08e-01 6.66e-16 1.16e-03 0s 15 1.92705185e+01 1.52592895e+01 3.66e-01 7.06e-16 6.04e-04 0s 16 1.85515728e+01 1.59127575e+01 1.94e-01 8.88e-16 3.92e-04 0s 17 1.81814012e+01 1.66753697e+01 1.10e-01 7.17e-16 2.22e-04 0s 18 1.77774463e+01 1.72702188e+01 2.67e-02 8.88e-16 7.39e-05 0s 19 1.76204775e+01 1.75062182e+01 3.52e-03 6.65e-16 1.65e-05 0s 20 1.75845746e+01 1.75651275e+01 2.15e-04 6.93e-16 2.79e-06 0s 21 1.75809939e+01 1.75805622e+01 8.80e-06 6.19e-16 6.21e-08 0s 22 1.75807693e+01 1.75807691e+01 1.41e-09 8.88e-16 1.77e-11 0s Barrier solved model in 22 iterations and 0.06 seconds Optimal objective 1.75807693e+01 Root relaxation: objective 1.758077e+01, 1305 iterations, 0.08 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 17.58077 0 49 73.00000 17.58077 75.9% - 0s H 0 0 19.0000000 17.58077 7.47% - 0s H 0 0 18.0000000 17.58077 2.33% - 0s Explored 0 nodes (2733 simplex iterations) in 0.35 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.800000000000e+01, best bound 1.800000000000e+01, gap 0.0% Preprocessing time: 0.09 seconds Gurobi run time: 0.35 seconds Total run time: 0.43 seconds Objective: 18 Solution: 1 x [32, 34, 44, 45] 1 x [35, 37, 39, 40, 45] 1 x [33, 33, 34, 40, 43] 1 x [32, 35, 36, 40, 42] 1 x [31, 36, 38, 42] 1 x [31, 32, 37, 39, 41] 1 x [1, 1, 12, 24, 25, 30] 1 x [6, 8, 11, 16, 24, 30] 1 x [3, 5, 7, 20, 28, 29] 1 x [1, 3, 4, 26, 29, 29] 1 x [5, 8, 8, 19, 27, 27] 1 x [3, 5, 14, 22, 25, 25] 1 x [2, 12, 14, 21, 22, 23] 1 x [2, 13, 13, 21, 22, 23] 1 x [11, 15, 15, 16, 18, 23] 1 x [9, 15, 17, 17, 17, 23] 1 x [7, 9, 10, 17, 21, 22] 1 x [11, 15, 17, 19, 19, 19]