Build (method = -2) #dp: 6274 Step-3' Graph: 113 vertices and 2659 arcs (0.03s) Step-4' Graph: 110 vertices and 2653 arcs (0.03s) #V4/#V3 = 0.97 #A4/#A3 = 1.00 Ready! (0.03s) Optimize a model with 186 rows, 2654 columns and 7752 nonzeros Presolve removed 26 rows and 26 columns Presolve time: 0.02s Presolved: 160 rows, 2628 columns, 7676 nonzeros Variable types: 0 continuous, 2628 integer (0 binary) Found heuristic solution: objective 1.920000e+08 Optimize a model with 160 rows, 2628 columns and 7676 nonzeros Presolved: 160 rows, 2628 columns, 7676 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 4.659e+03 Factor NZ : 7.803e+03 (roughly 1 MByte of memory) Factor Ops : 5.123e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 3.62150193e+09 -2.05136070e+10 4.10e+10 2.22e-16 3.42e+07 0s 1 1.21837525e+09 -7.57069004e+09 8.21e+09 7.77e-16 7.30e+06 0s 2 3.36681472e+08 -3.07587725e+09 7.88e+08 4.22e-15 1.12e+06 0s 3 2.43070007e+08 -6.51352023e+08 4.66e+07 7.99e-15 1.85e+05 0s 4 1.91993286e+08 -2.99749136e+08 6.04e+05 4.22e-15 9.28e+04 0s 5 1.54817778e+08 -9.77821941e+07 3.42e+05 1.89e-15 4.77e+04 0s 6 1.25557611e+08 -1.31224939e+07 1.71e+05 8.88e-16 2.62e+04 0s 7 1.14468776e+08 3.33534288e+07 1.08e+05 6.66e-16 1.53e+04 0s 8 1.08737728e+08 6.13341251e+07 6.40e+04 3.64e-16 8.94e+03 0s 9 1.05805365e+08 7.73244094e+07 3.21e+04 3.33e-16 5.37e+03 0s 10 1.03410425e+08 9.06560645e+07 1.23e+04 5.11e-16 2.40e+03 0s 11 1.01257019e+08 9.69524292e+07 6.67e+02 2.51e-16 8.11e+02 0s 12 1.00859903e+08 9.89917169e+07 1.12e+02 3.33e-16 3.52e+02 0s 13 1.00749811e+08 9.97659849e+07 5.42e+01 2.65e-16 1.85e+02 0s 14 1.00707386e+08 1.00240538e+08 3.80e+01 3.01e-16 8.80e+01 0s 15 1.00680379e+08 1.00321407e+08 2.70e+01 3.33e-16 6.76e+01 0s 16 1.00639137e+08 1.00425633e+08 1.31e+01 2.57e-16 4.02e+01 0s 17 1.00632016e+08 1.00546217e+08 9.74e+00 3.33e-16 1.62e+01 0s 18 1.00615157e+08 1.00610986e+08 2.08e-07 3.33e-16 7.86e-01 0s 19 1.00613335e+08 1.00613324e+08 2.21e-06 6.09e-08 2.24e-03 0s 20 1.00613333e+08 1.00613333e+08 8.94e-08 3.40e-11 5.67e-07 0s Barrier solved model in 20 iterations and 0.04 seconds Optimal objective 1.00613333e+08 Warning: Markowitz tolerance tightened to 0.5 Root relaxation: objective 1.006133e+08, 1588 iterations, 0.05 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 1.0061e+08 0 49 1.9200e+08 1.0061e+08 47.6% - 0s H 0 0 1.006133e+08 1.0061e+08 0.00% - 0s H 0 0 1.006133e+08 1.0061e+08 0.00% - 0s 0 0 1.0061e+08 0 64 1.0061e+08 1.0061e+08 0.00% - 0s 0 0 1.0061e+08 0 42 1.0061e+08 1.0061e+08 0.00% - 0s H 0 0 1.006133e+08 1.0061e+08 0.00% - 0s Cutting planes: Gomory: 1 Explored 0 nodes (2044 simplex iterations) in 0.36 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.006133340000e+08, best bound 1.006133333333e+08, gap 0.0000% Preprocessing time: 0.04 seconds Gurobi run time: 0.36 seconds Total run time: 0.40 seconds Objective: 100613334 Solution: 2000000 x [29, 76] 1000000 x [30, 75] 3000000 x [31, 74] 2000000 x [1, 13, 73] 1000000 x [3, 11, 73] 1000000 x [32, 72] 2000000 x [33, 71] 1000000 x [34, 70] 662217 x [3, 14, 70] 337783 x [4, 13, 70] 1000000 x [6, 10, 70] 1000000 x [35, 69] 5000000 x [36, 68] 126665 x [1, 18, 68] 62218 x [2, 17, 68] 1048893 x [6, 12, 68] 762223 x [9, 9, 68] 1 x [2, 68] 5000000 x [37, 67] 4000000 x [38, 66] 1301108 x [1, 20, 66] 698892 x [2, 19, 66] 2000000 x [39, 65] 1700002 x [2, 20, 65] 299998 x [4, 18, 65] 5000000 x [40, 64] 637781 x [41, 63] 1362219 x [4, 20, 63] 3000000 x [42, 62] 1999997 x [43, 61] 3 x [3, 23, 61] 1000000 x [44, 60] 3000000 x [45, 59] 2000000 x [46, 58] 1000000 x [1, 27, 58] 831110 x [3, 26, 58] 1168890 x [14, 14, 58] 3000000 x [47, 57] 2000000 x [48, 56] 1999997 x [8, 23, 55] 1000003 x [14, 17, 55] 2000000 x [50, 54] 4427774 x [51, 53] 572226 x [1, 32, 53] 2000000 x [52, 52] 506670 x [3, 32, 51] 127777 x [12, 24, 51] 1937779 x [17, 19, 51] 2475553 x [2, 35, 49] 524446 x [9, 28, 49] 1 x [8, 9, 49] 1000000 x [16, 25, 47] 63334 x [2, 41, 44] 1573337 x [18, 26, 44] 2363329 x [19, 25, 44] 1 x [22, 44] 999999 x [22, 22, 44] 1363332 x [13, 31, 43] 1636671 x [20, 25, 43] 298885 x [13, 32, 41] 1000000 x [18, 29, 40] 1524447 x [24, 28, 35] 1347776 x [24, 31, 32] 1000000 x [25, 30, 32] 274443 x [12, 12, 12, 32] 644446 x [26, 31, 31] 1000000 x [7, 11, 21, 30] 951107 x [6, 9, 26, 28] 1000000 x [10, 15, 17, 27] 1 x [1, 8, 8, 12, 22] 1000000 x [3, 5, 7, 16, 20]