Build (method = -2) #dp: 8768 Step-3' Graph: 148 vertices and 1356 arcs (0.04s) Step-4' Graph: 93 vertices and 1246 arcs (0.04s) #V4/#V3 = 0.63 #A4/#A3 = 0.92 Ready! (0.04s) Optimize a model with 174 rows, 1247 columns and 3559 nonzeros Presolve removed 26 rows and 32 columns Presolve time: 0.02s Presolved: 148 rows, 1215 columns, 3479 nonzeros Variable types: 0 continuous, 1215 integer (276 binary) Found heuristic solution: objective 172.0000000 Found heuristic solution: objective 137.0000000 Optimize a model with 148 rows, 1215 columns and 3479 nonzeros Presolved: 148 rows, 1215 columns, 3479 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.677e+03 Factor NZ : 4.719e+03 Factor Ops : 2.318e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.46730399e+04 -3.66853684e+04 1.40e+04 1.98e-01 1.88e+02 0s 1 3.70167807e+03 -7.79980467e+03 2.26e+03 8.88e-16 2.99e+01 0s 2 4.59973179e+02 -2.78336217e+03 1.45e+02 2.55e-15 2.84e+00 0s 3 1.97927225e+02 -7.02116377e+02 1.24e+01 4.00e-15 4.51e-01 0s 4 1.38819894e+02 -2.35893572e+02 1.61e+00 2.00e-15 1.59e-01 0s 5 1.17157518e+02 -7.95685569e+01 9.33e-01 8.88e-16 8.22e-02 0s 6 9.26090436e+01 2.85582986e+00 3.40e-01 6.66e-16 3.68e-02 0s 7 8.13624255e+01 3.30826126e+01 1.48e-01 3.33e-16 1.97e-02 0s 8 7.36333330e+01 5.72013080e+01 1.79e-02 2.54e-16 6.65e-03 0s 9 7.25042985e+01 6.36077777e+01 1.03e-02 3.33e-16 3.60e-03 0s 10 7.11562547e+01 6.83117451e+01 1.15e-03 2.22e-16 1.15e-03 0s 11 7.07927425e+01 7.02395524e+01 1.24e-04 4.44e-16 2.24e-04 0s 12 7.07136432e+01 7.06030779e+01 9.21e-06 3.33e-16 4.47e-05 0s 13 7.06939169e+01 7.06882873e+01 1.55e-07 3.33e-16 2.28e-06 0s 14 7.06933334e+01 7.06933330e+01 2.50e-12 3.33e-16 1.31e-10 0s 15 7.06933333e+01 7.06933333e+01 2.20e-13 3.33e-16 1.79e-16 0s Barrier solved model in 15 iterations and 0.01 seconds Optimal objective 7.06933333e+01 Root relaxation: objective 7.069333e+01, 669 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 70.69333 0 49 137.00000 70.69333 48.4% - 0s H 0 0 72.0000000 70.69333 1.81% - 0s H 0 0 71.0000000 70.69333 0.43% - 0s Explored 0 nodes (1113 simplex iterations) in 0.10 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 7.100000000000e+01, best bound 7.100000000000e+01, gap 0.0% Preprocessing time: 0.05 seconds Gurobi run time: 0.10 seconds Total run time: 0.15 seconds Objective: 71 Solution: 1 x [13, 23, 81] 2 x [7, 30, 80] 3 x [6, 32, 79] 2 x [8, 30, 79] 1 x [12, 26, 79] 1 x [15, 23, 79] 1 x [16, 24, 78] 1 x [15, 26, 77] 2 x [46, 76] 3 x [2, 43, 75] 1 x [3, 42, 75] 1 x [18, 28, 75] 1 x [47, 74] 2 x [20, 28, 73] 1 x [49, 72] 2 x [11, 34, 72] 2 x [6, 42, 71] 1 x [20, 30, 71] 1 x [52, 70] 1 x [11, 36, 70] 2 x [53, 69] 1 x [12, 37, 68] 4 x [55, 67] 2 x [7, 45, 66] 1 x [9, 41, 66] 1 x [11, 40, 66] 1 x [16, 35, 66] 1 x [57, 65] 2 x [6, 47, 65] 1 x [25, 29, 65] 1 x [21, 33, 64] 1 x [17, 37, 63] 1 x [19, 35, 63] 1 x [5, 51, 62] 1 x [11, 45, 61] 2 x [10, 47, 60] 1 x [1, 55, 59] 1 x [7, 51, 59] 1 x [14, 44, 59] 1 x [13, 42, 59] 1 x [19, 36, 59] 1 x [9, 50, 58] 1 x [4, 56, 57] 1 x [14, 46, 57] 1 x [40, 56] 1 x [22, 37, 56] 1 x [18, 45, 54] 1 x [9, 54, 54] 1 x [18, 48, 50] 1 x [31, 34, 50] 2 x [27, 39, 49] 1 x [34, 37, 41] 1 x [35, 38, 38]