Build (method = -2) #dp: 15571 Step-3' Graph: 209 vertices and 2497 arcs (0.08s) Step-4' Graph: 184 vertices and 2448 arcs (0.08s) #V4/#V3 = 0.88 #A4/#A3 = 0.98 Ready! (0.08s) Optimize a model with 224 rows, 2449 columns and 6988 nonzeros Presolve removed 2 rows and 2 columns Presolve time: 0.02s Presolved: 222 rows, 2447 columns, 6984 nonzeros Variable types: 0 continuous, 2447 integer (0 binary) Found heuristic solution: objective 706.0000000 Found heuristic solution: objective 640.0000000 Optimize a model with 222 rows, 2447 columns and 6984 nonzeros Presolved: 222 rows, 2447 columns, 6984 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.312e+03 Factor NZ : 1.052e+04 (roughly 1 MByte of memory) Factor Ops : 6.105e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.88478768e+04 -1.04352496e+05 9.13e+04 2.22e-16 2.51e+02 0s 1 5.25292533e+03 -4.66195196e+04 1.61e+04 4.44e-16 4.77e+01 0s 2 1.63310154e+03 -2.15047624e+04 3.05e+03 5.77e-15 1.10e+01 0s 3 8.34096887e+02 -4.83761182e+03 3.85e+02 2.22e-15 1.67e+00 0s 4 7.00862961e+02 -1.53791966e+03 1.11e+01 1.11e-15 4.62e-01 0s 5 6.14573821e+02 -1.51989871e+03 7.97e+00 9.99e-16 4.39e-01 0s 6 5.05273654e+02 -6.82728136e+02 5.54e+00 6.66e-16 2.44e-01 0s 7 2.86307649e+02 -3.01416675e+02 2.75e+00 4.44e-16 1.21e-01 0s 8 1.95662281e+02 -1.20474828e+02 1.65e+00 4.44e-16 6.48e-02 0s 9 1.38056303e+02 3.35438225e+01 5.16e-01 3.75e-16 2.13e-02 0s 10 1.28589431e+02 6.83379552e+01 3.47e-01 2.77e-16 1.23e-02 0s 11 1.20529548e+02 8.27753093e+01 2.25e-01 2.38e-16 7.68e-03 0s 12 1.13694108e+02 9.78271799e+01 9.65e-02 3.33e-16 3.22e-03 0s 13 1.10589051e+02 1.02811667e+02 4.75e-02 2.82e-16 1.58e-03 0s 14 1.09544030e+02 1.04946848e+02 3.11e-02 3.67e-16 9.33e-04 0s 15 1.08058560e+02 1.06703507e+02 6.58e-03 2.72e-16 2.75e-04 0s 16 1.07662025e+02 1.07636058e+02 3.17e-06 3.33e-16 5.26e-06 0s 17 1.07660002e+02 1.07659976e+02 3.81e-12 2.36e-16 5.30e-09 0s 18 1.07660000e+02 1.07660000e+02 3.97e-13 3.68e-16 5.48e-15 0s Barrier solved model in 18 iterations and 0.03 seconds Optimal objective 1.07660000e+02 Root relaxation: objective 1.076600e+02, 1870 iterations, 0.07 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 107.66000 0 63 640.00000 107.66000 83.2% - 0s H 0 0 109.0000000 107.66000 1.23% - 0s H 0 0 108.0000000 107.66000 0.31% - 0s Explored 0 nodes (3343 simplex iterations) in 0.39 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.080000000000e+02, best bound 1.080000000000e+02, gap 0.0% Preprocessing time: 0.10 seconds Gurobi run time: 0.39 seconds Total run time: 0.48 seconds Objective: 108 Solution: 8 x [10, 10, 32, 37, 38] 4 x [2, 15, 21, 23, 32] 1 x [2, 15, 20, 22, 23] 4 x [2, 5, 15, 18, 18, 23, 28] 3 x [2, 15, 18, 18, 18, 20, 23] 6 x [15, 23, 26, 26, 27, 34, 40] 1 x [15, 23, 26, 27, 27, 34, 40] 1 x [15, 19, 21, 22, 27, 34, 40] 7 x [3, 4, 6, 17, 19, 21] 3 x [3, 17, 19, 21, 25, 39, 40] 1 x [3, 17, 19, 20, 21, 25, 39] 1 x [15, 19, 28, 35, 36, 36, 38] 6 x [9, 14, 15, 28, 29, 35, 36] 8 x [9, 14, 18, 29, 36, 39, 40] 4 x [12, 13, 15, 27, 33, 34, 40] 2 x [5, 9, 12, 24, 30, 30, 33] 7 x [3, 11, 12, 17, 24, 30, 33] 1 x [4, 9, 9, 20, 21, 31, 33] 1 x [6, 12, 13, 15, 17, 20, 22] 1 x [5, 9, 12, 12, 30, 30, 39] 1 x [5, 5, 9, 12, 12, 20, 39] 2 x [1, 8, 9, 15, 21, 34, 40] 7 x [1, 7, 8, 11, 24, 32, 39] 10 x [1, 7, 8, 11, 16, 16, 18] 1 x [1, 8, 20, 31, 36, 36, 36] 1 x [5, 7, 8, 11, 32, 37, 38] 3 x [4, 6, 7, 8, 8, 11, 39] 8 x [13, 13, 22, 24, 29, 30, 36] 5 x [13, 13, 16, 16, 22, 29, 32]