Build (method = -2) #dp: 3620 Step-3' Graph: 99 vertices and 1989 arcs (0.01s) Step-4' Graph: 94 vertices and 1979 arcs (0.01s) #V4/#V3 = 0.95 #A4/#A3 = 0.99 Ready! (0.01s) Optimize a model with 160 rows, 1980 columns and 5757 nonzeros Presolve removed 24 rows and 26 columns Presolve time: 0.03s Presolved: 136 rows, 1954 columns, 5649 nonzeros Variable types: 0 continuous, 1954 integer (888 binary) Found heuristic solution: objective 91.0000000 Optimize a model with 136 rows, 1954 columns and 5649 nonzeros Presolved: 136 rows, 1954 columns, 5649 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.225e+03 Factor NZ : 5.796e+03 Factor Ops : 3.256e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.27270308e+03 -1.09648766e+04 9.99e+03 1.10e-01 2.22e+01 0s 1 8.97931584e+02 -3.58177942e+03 1.61e+03 5.55e-16 3.99e+00 0s 2 2.23826808e+02 -1.11827772e+03 1.50e+02 8.88e-16 5.66e-01 0s 3 1.14436985e+02 -1.56637083e+02 1.30e+01 6.66e-16 8.23e-02 0s 4 7.74776273e+01 -3.85590455e+01 2.95e+00 3.33e-16 3.15e-02 0s 5 6.25539101e+01 9.92121218e-01 1.40e+00 2.22e-16 1.63e-02 0s 6 5.68291216e+01 2.26925520e+01 8.75e-01 3.33e-16 8.98e-03 0s 7 5.51371247e+01 2.67815345e+01 6.06e-01 3.33e-16 7.39e-03 0s 8 5.19105036e+01 3.59627116e+01 2.64e-01 2.22e-16 4.10e-03 0s 9 5.01608432e+01 4.35240671e+01 1.10e-01 2.22e-16 1.70e-03 0s 10 4.90164597e+01 4.63237984e+01 1.61e-02 2.22e-16 6.85e-04 0s 11 4.87040159e+01 4.75733642e+01 4.52e-03 2.57e-16 2.88e-04 0s 12 4.85410240e+01 4.78972917e+01 1.31e-03 3.18e-16 1.64e-04 0s 13 4.84783538e+01 4.81129067e+01 7.52e-04 2.22e-16 9.29e-05 0s 14 4.84617664e+01 4.81868981e+01 6.13e-04 3.33e-16 6.99e-05 0s 15 4.84514459e+01 4.82223107e+01 5.03e-04 3.33e-16 5.83e-05 0s 16 4.84255270e+01 4.83012741e+01 2.74e-04 2.22e-16 3.16e-05 0s 17 4.84130257e+01 4.83266099e+01 1.86e-04 2.22e-16 2.20e-05 0s 18 4.83928483e+01 4.83567948e+01 4.96e-05 3.33e-16 9.16e-06 0s 19 4.83824610e+01 4.83786821e+01 2.82e-06 3.33e-16 9.60e-07 0s 20 4.83815220e+01 4.83814605e+01 3.30e-08 2.35e-16 1.56e-08 0s 21 4.83815029e+01 4.83815029e+01 2.75e-13 4.44e-16 1.65e-13 0s Barrier solved model in 21 iterations and 0.03 seconds Optimal objective 4.83815029e+01 Root relaxation: objective 4.838150e+01, 170 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 48.38150 0 32 91.00000 48.38150 46.8% - 0s H 0 0 50.0000000 48.38150 3.24% - 0s H 0 0 49.0000000 48.38150 1.26% - 0s Explored 0 nodes (470 simplex iterations) in 0.11 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 4.900000000000e+01, best bound 4.900000000000e+01, gap 0.0% Preprocessing time: 0.03 seconds Gurobi run time: 0.11 seconds Total run time: 0.14 seconds Objective: 49 Solution: 3 x [24, 66] 1 x [2, 7, 66] 1 x [26, 65] 1 x [25, 65] 1 x [25, 64] 1 x [5, 6, 64] 1 x [27, 63] 2 x [28, 62] 1 x [1, 10, 62] 1 x [29, 61] 2 x [31, 60] 1 x [33, 59] 2 x [2, 14, 59] 1 x [34, 58] 1 x [35, 57] 1 x [36, 56] 1 x [37, 55] 1 x [3, 17, 55] 1 x [38, 54] 1 x [39, 53] 1 x [40, 52] 1 x [41, 51] 1 x [4, 20, 51] 1 x [42, 50] 1 x [43, 49] 1 x [46, 48] 1 x [45, 48] 1 x [47, 47] 1 x [3, 27, 45] 1 x [10, 18, 45] 2 x [12, 16, 45] 1 x [13, 15, 45] 1 x [9, 20, 44] 1 x [5, 10, 44] 1 x [12, 21, 40] 1 x [19, 39] 2 x [11, 25, 36] 1 x [1, 8, 35] 1 x [15, 23, 34] 1 x [11, 29, 32] 1 x [20, 21, 32] 1 x [21, 22, 30]