Build (method = -2) #dp: 9840 Step-3' Graph: 139 vertices and 4019 arcs (0.04s) Step-4' Graph: 139 vertices and 4019 arcs (0.04s) #V4/#V3 = 1.00 #A4/#A3 = 1.00 Ready! (0.04s) Optimize a model with 225 rows, 4020 columns and 11789 nonzeros Presolve removed 30 rows and 31 columns Presolve time: 0.04s Presolved: 195 rows, 3989 columns, 11730 nonzeros Variable types: 0 continuous, 3989 integer (1244 binary) Found heuristic solution: objective 147.0000000 Found heuristic solution: objective 138.0000000 Optimize a model with 195 rows, 3989 columns and 11730 nonzeros Presolved: 195 rows, 3989 columns, 11730 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 8.984e+03 Factor NZ : 1.333e+04 (roughly 2 MBytes of memory) Factor Ops : 1.209e+06 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.02025122e+04 -2.26235017e+04 1.20e+04 1.33e-01 6.67e+01 0s 1 2.72938137e+03 -1.11561338e+04 2.19e+03 6.66e-16 1.28e+01 0s 2 4.95292998e+02 -5.54854802e+03 1.44e+02 7.77e-16 1.42e+00 0s 3 2.75145180e+02 -1.21316080e+03 1.46e+01 5.55e-16 2.28e-01 0s 4 1.77533013e+02 -3.34317453e+02 2.62e+00 5.55e-16 6.87e-02 0s 5 1.63806941e+02 -1.51753205e+02 2.03e+00 6.66e-16 4.21e-02 0s 6 1.38317910e+02 -7.37925235e+01 1.32e+00 3.64e-16 2.80e-02 0s 7 1.11917982e+02 -8.23726013e+00 7.18e-01 6.66e-16 1.57e-02 0s 8 1.01018615e+02 1.18097564e+01 5.50e-01 5.55e-16 1.16e-02 0s 9 8.43574974e+01 3.81350880e+01 2.78e-01 4.44e-16 5.94e-03 0s 10 7.44000406e+01 5.38030072e+01 1.18e-01 4.26e-16 2.62e-03 0s 11 7.24638576e+01 5.94545118e+01 8.68e-02 4.44e-16 1.65e-03 0s 12 7.07968985e+01 6.03632044e+01 5.42e-02 6.17e-16 1.32e-03 0s 13 7.00846356e+01 6.30884821e+01 4.03e-02 4.25e-16 8.83e-04 0s 14 6.93419143e+01 6.44875353e+01 2.87e-02 5.55e-16 6.11e-04 0s 15 6.88982251e+01 6.58354705e+01 1.95e-02 4.23e-16 3.85e-04 0s 16 6.85867706e+01 6.68419298e+01 1.08e-02 4.64e-16 2.18e-04 0s 17 6.84952151e+01 6.71923340e+01 8.82e-03 4.29e-16 1.63e-04 0s 18 6.84307121e+01 6.75602952e+01 7.19e-03 4.06e-16 1.09e-04 0s 19 6.83592720e+01 6.77284277e+01 5.43e-03 3.94e-16 7.88e-05 0s 20 6.83234892e+01 6.78747371e+01 4.32e-03 4.92e-16 5.60e-05 0s 21 6.82049853e+01 6.81064057e+01 1.69e-04 3.68e-16 1.23e-05 0s 22 6.81936068e+01 6.81898905e+01 4.28e-06 3.33e-16 4.63e-07 0s 23 6.81933336e+01 6.81933299e+01 5.12e-13 3.84e-16 4.63e-10 0s 24 6.81933333e+01 6.81933333e+01 2.42e-13 3.75e-16 4.63e-13 0s Barrier solved model in 24 iterations and 0.07 seconds Optimal objective 6.81933333e+01 Root relaxation: objective 6.819333e+01, 3555 iterations, 0.11 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 68.19333 0 50 138.00000 68.19333 50.6% - 0s H 0 0 69.0000000 68.19333 1.17% - 0s Explored 0 nodes (5398 simplex iterations) in 0.50 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 6.900000000000e+01, best bound 6.900000000000e+01, gap 0.0% Preprocessing time: 0.06 seconds Gurobi run time: 0.50 seconds Total run time: 0.56 seconds Objective: 69 Solution: 1 x [1, 7, 9, 10, 14, 86] 1 x [42, 85] 1 x [1, 41, 85] 1 x [13, 30, 84] 1 x [17, 26, 84] 2 x [3, 40, 83] 1 x [5, 82] 3 x [3, 42, 81] 1 x [8, 36, 81] 2 x [46, 80] 1 x [47, 79] 2 x [9, 38, 78] 2 x [11, 36, 78] 1 x [48, 77] 1 x [49, 76] 1 x [51, 75] 1 x [52, 74] 2 x [12, 40, 74] 2 x [14, 37, 74] 2 x [20, 31, 74] 2 x [2, 50, 73] 1 x [54, 72] 1 x [6, 47, 72] 3 x [55, 71] 1 x [57, 70] 1 x [3, 53, 70] 1 x [22, 33, 70] 1 x [23, 32, 70] 1 x [19, 38, 69] 2 x [21, 35, 69] 1 x [25, 31, 69] 3 x [59, 68] 1 x [2, 56, 68] 2 x [60, 67] 1 x [61, 66] 1 x [1, 1, 4, 18, 24, 66] 1 x [2, 4, 24, 65] 1 x [22, 38, 64] 2 x [63, 63] 1 x [22, 41, 62] 1 x [16, 48, 61] 1 x [26, 38, 60] 2 x [23, 44, 58] 2 x [35, 36, 51] 1 x [2, 11, 15, 45, 50] 1 x [8, 27, 43, 45] 1 x [10, 14, 37, 39] 1 x [27, 28, 30, 38] 1 x [12, 16, 29, 29, 38] 1 x [28, 30, 31, 34]