Build (method = -2) #dp: 7071 Step-3' Graph: 120 vertices and 1651 arcs (0.03s) Step-4' Graph: 85 vertices and 1581 arcs (0.03s) #V4/#V3 = 0.71 #A4/#A3 = 0.96 Ready! (0.03s) Optimize a model with 166 rows, 1582 columns and 4582 nonzeros Presolve removed 27 rows and 46 columns Presolve time: 0.02s Presolved: 139 rows, 1536 columns, 4465 nonzeros Variable types: 0 continuous, 1536 integer (0 binary) Found heuristic solution: objective 3.960000e+08 Optimize a model with 139 rows, 1536 columns and 4465 nonzeros Presolved: 139 rows, 1536 columns, 4465 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 3.004e+03 Factor NZ : 5.481e+03 Factor Ops : 2.892e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 4.23250290e+08 -5.97640407e+10 8.19e+10 2.22e-16 1.43e+08 0s 1 4.43738730e+08 -3.10314950e+10 1.70e+10 2.89e-01 3.51e+07 0s 2 4.05599041e+08 -7.60054210e+09 3.56e+09 1.56e-02 7.36e+06 0s 3 3.96042179e+08 -2.61125145e+09 2.10e+08 1.78e-15 1.17e+06 0s 4 3.79195567e+08 -1.65927289e+09 5.42e+06 1.55e-15 6.56e+05 0s 5 3.44597535e+08 -5.89213365e+08 3.21e+06 7.77e-16 3.00e+05 0s 6 2.77047896e+08 -3.57001183e+08 1.72e+06 8.74e-16 2.03e+05 0s 7 2.60769547e+08 -5.91604061e+07 1.34e+06 4.72e-16 1.03e+05 0s 8 2.42432159e+08 5.70304433e+07 9.90e+05 4.54e-16 5.94e+04 0s 9 2.11737310e+08 1.23494462e+08 3.66e+05 4.86e-16 2.83e+04 0s 10 2.06102160e+08 1.70999768e+08 2.42e+05 3.45e-16 1.12e+04 0s 11 1.98476180e+08 1.83923808e+08 3.77e+04 4.53e-16 4.65e+03 0s 12 1.96439184e+08 1.92187965e+08 6.92e+03 5.27e-16 1.36e+03 0s 13 1.96026499e+08 1.94181957e+08 3.33e+03 3.92e-16 5.90e+02 0s 14 1.95902413e+08 1.94794877e+08 2.46e+03 5.17e-08 3.54e+02 0s 15 1.95712201e+08 1.95436071e+08 9.73e+02 1.63e-07 8.83e+01 0s 16 1.95587972e+08 1.95582934e+08 1.19e-07 1.16e-07 1.61e+00 0s 17 1.95586667e+08 1.95586666e+08 1.19e-07 2.19e-09 1.95e-04 0s Barrier solved model in 17 iterations and 0.02 seconds Optimal objective 1.95586667e+08 Warning: Markowitz tolerance tightened to 0.5 Root relaxation: objective 1.955867e+08, 1471 iterations, 0.03 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 1.9559e+08 0 45 3.9600e+08 1.9559e+08 50.6% - 0s H 0 0 1.955867e+08 1.9559e+08 0.00% - 0s 0 0 1.9559e+08 0 38 1.9559e+08 1.9559e+08 0.00% - 0s H 0 0 1.955867e+08 1.9559e+08 0.0% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (1702 simplex iterations) in 0.24 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.955866670000e+08, best bound 1.955866670000e+08, gap 0.0% Preprocessing time: 0.04 seconds Gurobi run time: 0.24 seconds Total run time: 0.28 seconds Objective: 195586667 Solution: 5500000 x [31, 81] 3500000 x [6, 6, 81] 4000000 x [5, 8, 80] 675557 x [33, 79] 1324443 x [7, 7, 79] 2000000 x [34, 78] 2000000 x [4, 11, 78] 4000000 x [1, 15, 77] 1403332 x [3, 13, 77] 474444 x [5, 11, 77] 1122224 x [8, 8, 77] 4000000 x [36, 76] 6000000 x [37, 75] 1000000 x [9, 9, 75] 421112 x [1, 18, 74] 3708888 x [2, 17, 74] 4596667 x [3, 16, 74] 273332 x [8, 11, 74] 1 x [7, 11, 74] 5000000 x [39, 73] 6000000 x [40, 72] 1000000 x [7, 14, 72] 1000000 x [41, 71] 3000000 x [5, 17, 71] 5000000 x [42, 70] 2000000 x [3, 20, 70] 4000000 x [43, 69] 5000000 x [44, 68] 1000000 x [2, 23, 68] 4000000 x [45, 67] 6000000 x [46, 66] 351112 x [7, 20, 66] 1648888 x [11, 16, 66] 2698332 x [47, 65] 1 x [29, 65] 5000000 x [9, 19, 65] 2301664 x [11, 17, 65] 1 x [3, 17, 65] 1 x [13, 13, 65] 1 x [7, 11, 65] 1868333 x [1, 28, 64] 1482220 x [8, 21, 64] 1 x [1, 17, 64] 649446 x [13, 16, 64] 3000000 x [49, 63] 2000000 x [50, 62] 5000000 x [51, 61] 2500000 x [1, 31, 61] 2 x [11, 21, 61] 1499998 x [13, 19, 61] 4886111 x [52, 60] 2333333 x [13, 20, 60] 780556 x [16, 17, 60] 5000000 x [53, 59] 6000000 x [54, 58] 1000000 x [17, 18, 58] 4000000 x [55, 57] 210554 x [1, 35, 57] 1000000 x [9, 27, 57] 500002 x [17, 19, 57] 1289444 x [18, 18, 57] 1291112 x [2, 35, 56] 4000000 x [12, 25, 56] 708888 x [17, 20, 56] 1000000 x [3, 37, 53] 113889 x [13, 28, 52] 3000000 x [2, 41, 50] 1000000 x [1, 43, 49] 5000000 x [18, 26, 49] 3000000 x [3, 42, 48] 4301668 x [11, 35, 47] 393333 x [5, 43, 45] 4000000 x [10, 38, 45] 606667 x [20, 28, 45] 4000000 x [22, 26, 45] 324443 x [16, 33, 44] 2411111 x [21, 28, 44] 132223 x [5, 44, 44] 1606667 x [21, 29, 43] 2000000 x [24, 29, 40] 2000000 x [20, 34, 39] 1000000 x [21, 33, 39] 1000000 x [21, 34, 38] 2000000 x [24, 33, 36] 500000 x [21, 36, 36] 196666 x [29, 29, 35] 1000000 x [27, 32, 34] 3000000 x [30, 30, 33]