Parameters

Risk/return assumptions:
ρ=0.25μσ
Stocks0.060.2
Bonds0.020.05
Logistic tolerance = 1.0E-5
Iterations: 10000
ALLOCATION_EPSILON = 0.0050
Retirement age: 70
Contributions/Expenses: 0.1

Survival probabilities calculated from IRS life exectancies. I should change the format of this table.

ageprobability
200.998389694041868
211.0
221.0
231.0
240.9982817869415808
251.0
261.0
270.9981916817359856
281.0
291.0
300.9980916030534351
311.0
321.0
331.0
340.9979381443298969
351.0
361.0
370.9978070175438596
381.0
391.0
400.9976580796252927
411.0
421.0
430.9974874371859298
441.0
450.9973614775725593
460.9972972972972972
471.0
480.9971509971509971
490.9970760233918128
500.9969969969969972
511.0
520.9968152866242038
530.9967213114754098
540.9966216216216216
550.9965156794425087
560.992831541218638
570.9962962962962962
580.9961685823754789
590.9960317460317462
600.9918032786885246
610.9957446808510638
620.9911894273127754
630.9954128440366972
640.9904761904761905
650.9900990099009901
660.9896907216494846
670.9892473118279569
680.9887640449438203
690.9882352941176471
700.9815950920245399
710.9870967741935485
720.9797297297297297
730.9787234042553192
740.9776119402985074
750.9763779527559056
760.9669421487603306
770.9736842105263157
780.9629629629629629
790.9607843137254903
800.9484536082474226
810.956043956043956
820.9418604651162791
830.9382716049382716
840.9342105263157895
850.9295774647887324
860.9104477611940298
870.9047619047619048
880.8983050847457626
890.890909090909091
900.8653846153846153
910.8571428571428571
920.8478260869565218
930.8372093023255813
940.8048780487804879
950.8157894736842105
960.7777777777777777
970.7647058823529412
980.7741935483870968
990.7241379310344828
1000.7037037037037036
1010.68
1020.6521739130434783
1030.619047619047619
1040.5789473684210527
1050.5294117647058824
1060.4666666666666666
1070.35714285714285715
1080.33333333333333326
1090.18181818181818177
1100.10000000000000009

Results

Allocations:
252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110
30.000.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.940.900.910.910.920.920.920.930.930.940.940.940.950.950.950.960.960.960.960.970.970.970.970.970.980.970.930.870.820.800.800.790.780.770.770.770.760.790.880.960.000.00
29.600.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.950.940.940.930.890.900.900.910.910.920.920.930.930.940.940.950.950.950.950.960.960.960.970.970.970.970.970.980.970.940.850.790.740.690.690.690.660.660.660.660.690.830.950.000.00
29.200.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.940.930.930.930.910.880.890.900.900.910.910.920.920.930.940.940.940.950.950.950.960.960.960.970.970.970.970.970.980.970.950.860.780.710.650.600.560.560.540.540.540.560.740.930.000.00
28.800.940.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.920.920.910.900.880.890.890.900.910.910.920.930.930.940.940.940.950.950.950.960.960.960.970.970.970.970.970.980.970.960.870.780.710.630.570.510.450.390.360.290.420.590.890.000.00
28.400.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.930.920.920.920.920.920.920.920.920.920.910.910.900.880.880.880.890.900.910.920.920.930.930.940.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.960.880.790.700.640.570.510.440.380.320.260.190.130.820.000.00
28.000.930.930.930.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.910.910.910.910.910.900.900.890.880.880.890.900.900.910.910.920.930.930.940.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.970.910.810.710.640.580.500.440.380.310.250.200.130.700.000.00
27.600.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.910.910.910.910.910.910.910.910.900.900.900.890.880.870.880.890.900.900.910.910.920.920.930.930.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.980.940.830.730.650.580.510.440.390.320.250.190.130.070.000.00
27.200.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.920.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.900.900.900.890.890.880.870.870.880.890.890.900.910.910.920.920.930.930.940.940.950.950.950.950.960.960.960.960.970.970.970.970.980.980.950.840.740.660.580.520.450.380.320.260.190.140.070.000.00
26.800.920.920.920.920.920.920.920.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.900.900.900.900.900.900.890.890.880.880.870.870.880.890.890.900.910.910.920.920.930.930.940.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.970.860.760.670.590.530.460.380.330.260.190.140.070.000.00
26.400.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.900.900.900.900.900.900.900.900.900.890.890.890.890.880.880.870.870.870.880.880.890.900.900.910.910.920.920.930.930.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.970.900.780.680.600.530.460.390.340.270.200.120.070.000.00
26.000.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.910.900.900.900.900.900.900.900.900.900.900.900.890.890.890.890.890.890.880.880.870.870.870.870.870.880.890.890.900.910.910.920.920.930.930.940.940.940.950.950.950.960.960.960.970.970.970.970.980.980.980.920.800.700.610.530.470.400.330.270.200.130.070.010.00
25.600.910.910.910.910.910.910.910.910.910.910.910.910.910.910.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.890.890.890.890.890.890.890.880.880.880.870.870.860.860.870.870.880.880.890.900.900.910.910.920.920.930.930.940.940.950.950.950.960.960.960.960.970.970.970.970.980.980.950.810.710.620.540.480.410.330.270.200.130.080.010.00
25.200.910.910.910.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.890.890.890.890.890.890.890.880.880.880.880.880.870.870.870.860.860.870.860.870.880.890.890.900.910.910.920.920.930.930.940.940.950.950.950.950.960.960.960.970.970.970.970.980.980.960.840.730.640.550.490.410.340.280.210.130.080.010.00
24.800.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.870.870.870.860.860.860.860.860.860.870.880.880.890.900.900.910.910.920.920.930.930.940.940.950.950.950.960.960.960.970.970.970.970.980.980.970.870.740.650.560.500.420.350.290.210.140.080.010.00
24.400.900.900.900.900.900.900.900.900.900.900.900.900.900.900.900.890.890.890.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.880.870.870.870.870.860.860.860.850.860.860.850.860.870.880.880.890.900.900.910.920.920.930.930.940.940.950.950.950.960.960.960.960.970.970.970.980.980.980.900.760.660.580.510.430.350.290.220.140.080.010.00
24.000.900.900.900.900.900.900.900.900.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.880.880.870.870.870.870.860.860.860.850.850.850.850.850.840.850.860.870.880.890.890.900.910.910.920.920.930.930.940.940.950.950.950.960.960.960.970.970.970.970.980.980.940.780.680.590.510.440.360.300.220.140.090.010.00
23.600.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.880.880.880.880.870.870.870.870.860.860.860.850.850.850.850.850.850.850.830.850.860.870.880.880.890.900.900.910.920.920.930.930.940.940.950.950.950.960.960.960.970.970.970.970.980.980.960.800.690.600.530.450.370.300.230.150.090.010.00
23.200.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.860.860.860.850.850.850.840.840.840.840.840.840.830.840.850.860.870.880.880.890.900.910.910.920.920.930.930.940.940.950.950.960.960.960.960.970.970.970.980.980.980.830.710.610.520.460.370.310.230.150.090.010.00
22.800.890.890.890.890.890.890.890.890.890.890.890.880.880.880.880.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.870.860.860.860.860.850.850.850.840.840.840.830.830.830.830.820.830.840.850.860.870.880.890.890.900.910.910.920.930.930.940.940.950.950.950.960.960.960.970.970.970.980.980.980.880.730.630.530.470.380.320.240.150.090.010.00
22.400.890.890.890.890.890.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.870.860.860.860.860.860.850.850.850.840.840.840.830.830.830.830.820.820.810.820.830.840.860.870.870.880.890.900.900.910.920.920.930.940.940.950.950.950.960.960.960.970.970.970.980.980.980.950.740.640.550.480.390.320.240.160.100.010.00
22.000.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.870.870.870.860.860.860.860.850.850.850.850.840.840.840.830.830.830.820.820.820.810.810.800.810.820.840.850.860.870.880.880.890.900.910.910.920.930.930.940.940.950.950.950.960.960.960.970.970.970.980.980.990.770.650.560.490.400.330.250.161.000.020.00
21.600.880.880.880.880.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.870.870.870.870.860.860.860.860.860.850.850.850.850.840.840.840.830.830.830.820.820.820.810.810.800.800.780.800.810.830.840.850.860.870.880.890.890.900.910.920.920.930.940.940.950.950.950.960.960.960.970.970.970.980.980.990.810.680.590.500.410.340.250.171.000.020.00
21.200.880.880.880.880.880.880.880.880.880.880.870.870.870.870.870.870.870.870.870.870.860.860.860.860.860.860.850.850.850.850.840.840.840.830.830.830.820.820.810.810.810.800.800.800.790.770.790.800.820.830.840.850.860.870.880.890.900.900.910.920.930.930.940.940.950.950.960.960.960.970.970.970.980.980.990.850.700.610.510.420.350.260.171.000.020.00
20.800.880.880.880.880.880.870.870.870.870.870.870.870.870.870.870.870.870.860.860.860.860.860.860.850.850.850.850.850.840.840.840.830.830.830.820.820.810.810.810.800.800.800.790.780.770.750.770.790.800.820.830.850.860.870.880.880.890.900.910.920.920.930.940.940.950.950.950.960.960.960.970.970.980.980.991.000.730.620.520.430.350.270.180.990.020.00
20.400.870.870.870.870.870.870.870.870.870.870.870.870.870.860.860.860.860.860.860.860.850.850.850.850.850.840.840.840.840.830.830.830.820.820.820.810.810.800.800.790.790.780.780.770.760.730.760.780.790.810.820.840.850.860.870.880.890.900.900.910.920.930.930.940.940.950.950.960.960.960.970.970.980.980.991.000.760.640.540.440.360.270.180.970.020.00
20.000.870.870.870.870.870.870.870.870.870.860.860.860.860.860.860.860.860.860.850.850.850.850.850.840.840.840.840.830.830.830.820.820.820.810.810.800.800.790.790.780.780.770.760.750.740.720.740.760.780.800.810.830.840.850.860.870.880.890.900.910.910.920.930.940.940.950.950.950.960.960.970.970.970.980.981.001.000.660.550.450.370.280.190.920.020.00
19.600.870.870.870.870.870.860.860.860.860.860.860.860.860.860.860.850.850.850.850.850.850.840.840.840.840.830.830.830.820.820.820.810.810.800.800.800.790.780.780.770.770.760.750.740.730.690.720.740.760.780.800.820.830.840.850.870.880.880.890.900.910.920.930.930.940.940.950.950.960.960.960.970.970.980.981.001.000.670.560.460.380.290.190.120.020.00
19.200.870.860.860.860.860.860.860.860.860.860.860.850.850.850.850.850.850.850.840.840.840.840.840.830.830.830.820.820.820.810.810.800.800.800.790.790.780.770.770.760.750.740.730.720.710.670.700.720.750.770.790.800.820.830.850.860.870.880.890.900.900.910.920.930.940.940.950.950.950.960.960.970.970.980.980.991.001.000.580.470.390.290.200.120.030.00
18.800.860.860.860.860.860.860.860.860.850.850.850.850.850.850.850.840.840.840.840.840.830.830.830.830.820.820.820.810.810.800.800.800.790.790.780.770.770.760.750.740.740.730.710.700.680.650.670.700.730.750.770.790.810.820.840.850.860.870.880.890.900.910.920.930.930.940.950.950.950.960.960.970.970.980.980.991.001.000.620.510.400.300.200.120.030.00
18.400.860.860.860.860.850.850.850.850.850.850.850.850.840.840.840.840.840.840.830.830.830.830.820.820.820.810.810.810.800.800.790.790.780.780.770.760.760.750.740.730.720.710.690.680.660.620.650.680.710.730.760.780.790.810.820.840.850.860.870.880.890.900.910.920.930.940.940.950.950.950.960.960.970.980.980.981.001.001.000.520.420.310.210.130.030.00
18.000.850.850.850.850.850.850.850.850.850.840.840.840.840.840.840.830.830.830.830.820.820.820.820.810.810.810.800.800.790.790.780.780.770.760.760.750.740.730.720.710.700.690.670.650.630.590.620.650.680.710.740.760.780.800.810.830.840.850.870.880.890.900.910.920.920.930.940.950.950.950.960.960.970.970.980.981.001.001.001.000.430.320.210.130.030.00
17.600.850.850.850.850.850.850.840.840.840.840.840.840.830.830.830.830.830.820.820.820.820.810.810.810.800.800.790.790.780.780.770.770.760.750.740.740.730.720.710.690.680.660.650.630.610.550.590.630.660.690.720.740.760.780.800.820.830.840.860.870.880.890.900.910.920.930.940.940.950.950.960.960.970.970.980.980.991.001.001.000.470.330.220.140.030.00
17.200.850.850.840.840.840.840.840.840.840.830.830.830.830.830.820.820.820.820.810.810.810.800.800.800.790.790.790.780.770.770.760.750.750.740.730.720.710.700.690.670.660.640.620.600.580.520.560.600.630.660.700.720.750.770.790.800.820.830.850.860.870.880.890.900.910.920.930.940.950.950.950.960.960.970.980.980.991.001.001.001.000.360.240.140.030.00
16.800.840.840.840.840.840.840.830.830.830.830.830.830.820.820.820.820.810.810.810.800.800.800.800.790.790.780.780.770.760.760.750.740.730.730.720.710.690.680.670.650.630.610.590.570.540.480.520.560.600.640.670.700.730.750.770.790.810.820.840.850.860.880.890.900.910.920.930.940.940.950.950.960.960.970.970.980.981.001.001.001.001.000.260.150.040.00
16.400.840.840.840.830.830.830.830.830.830.820.820.820.820.810.810.810.810.800.800.800.790.790.790.780.780.770.770.760.750.740.740.730.720.710.700.690.670.660.650.630.610.580.560.530.500.440.480.530.570.610.640.670.710.730.750.770.790.810.830.840.850.870.880.890.900.910.920.930.940.950.950.950.960.970.970.980.980.991.001.001.001.001.001.000.040.00
16.000.830.830.830.830.830.830.820.820.820.820.820.810.810.810.810.800.800.800.790.790.790.780.780.770.770.760.750.750.740.730.720.720.700.690.680.670.650.640.620.600.580.550.520.500.470.390.440.490.530.570.610.650.680.710.730.760.780.800.810.830.840.860.870.880.900.910.920.930.940.940.950.950.960.960.970.980.980.981.001.001.001.001.000.960.040.00
15.600.830.830.830.820.820.820.820.820.810.810.810.810.800.800.800.800.790.790.790.780.780.770.770.760.760.750.740.730.730.720.710.700.690.680.660.650.630.610.590.570.550.520.490.460.420.340.390.440.490.540.580.620.650.690.710.740.760.780.800.820.830.850.860.880.890.900.910.920.930.940.950.950.950.960.970.980.980.980.961.001.001.001.000.740.040.00
15.200.820.820.820.820.820.810.810.810.810.810.800.800.800.800.790.790.790.780.780.770.770.760.760.750.740.740.730.720.710.700.690.680.670.650.640.620.610.590.560.540.510.480.450.410.380.280.340.400.450.500.540.580.620.660.690.720.740.760.780.800.820.840.850.870.880.890.910.920.930.940.940.950.950.960.970.980.980.980.910.961.001.001.000.680.050.00
14.800.820.820.810.810.810.810.810.800.800.800.800.790.790.790.780.780.780.770.770.760.760.750.740.740.730.720.720.710.700.690.670.660.650.630.620.600.580.560.530.500.480.440.410.370.330.220.280.350.400.450.500.550.590.630.660.690.720.740.770.790.800.820.840.860.870.880.900.910.920.930.940.940.950.960.960.970.980.980.910.880.961.001.001.000.050.00
14.400.810.810.810.810.800.800.800.800.800.790.790.790.780.780.780.770.770.760.760.750.750.740.730.730.720.710.700.690.680.670.660.640.630.610.590.570.550.530.500.470.440.400.360.320.270.130.220.290.350.410.460.510.550.600.630.670.700.720.750.770.790.810.830.840.860.880.890.900.920.930.940.940.950.950.960.970.980.980.930.770.890.971.001.000.050.00
14.000.810.800.800.800.800.800.790.790.790.790.780.780.770.770.770.760.760.750.750.740.730.730.720.710.700.690.680.670.660.650.640.620.600.590.570.550.520.500.460.430.400.350.310.260.200.020.130.220.290.350.410.460.510.560.600.640.670.700.730.750.770.790.810.830.850.870.880.890.910.920.930.940.940.950.960.970.980.980.980.750.760.900.991.000.050.00
13.600.800.800.800.790.790.790.790.780.780.780.770.770.760.760.760.750.750.740.730.730.720.710.710.700.690.680.670.650.640.630.610.600.580.560.540.510.490.460.430.390.350.310.260.190.110.000.020.130.220.290.350.420.470.520.570.610.640.680.700.730.750.780.800.820.830.850.870.880.900.910.930.930.940.940.950.970.980.980.990.790.630.770.921.000.060.00
13.200.800.790.790.790.780.780.780.770.770.770.760.760.750.750.740.740.730.730.720.710.710.700.690.680.670.660.650.640.620.610.590.570.550.530.510.480.450.420.390.350.310.260.200.120.000.000.000.010.130.220.290.360.420.480.530.570.610.650.680.710.730.760.780.800.820.840.860.880.890.910.920.930.930.940.950.960.970.980.990.810.630.600.790.970.060.00
12.800.790.790.780.780.780.770.770.770.760.760.750.750.740.740.730.730.720.720.710.700.690.680.670.660.650.640.630.610.600.580.570.550.520.500.480.450.420.380.350.310.260.200.120.010.000.000.000.000.000.130.220.300.370.430.480.530.580.620.650.680.710.730.760.780.800.820.840.860.880.900.910.920.930.940.940.960.970.980.990.860.650.490.620.830.060.00
12.400.780.780.770.770.770.760.760.760.750.750.740.740.730.730.720.720.710.700.690.680.670.660.650.650.630.620.610.590.580.560.540.520.500.470.440.410.380.350.300.260.200.130.040.000.000.000.000.000.000.000.130.230.300.370.430.490.540.580.620.650.680.710.740.760.790.810.830.850.870.890.900.920.930.930.940.950.970.980.991.000.680.510.410.620.070.00
12.000.770.770.760.760.760.750.750.750.740.740.730.730.720.710.710.700.690.680.680.670.660.650.640.620.610.600.580.570.550.530.510.490.460.440.410.380.340.300.260.200.140.050.000.000.000.000.000.000.000.000.000.130.230.310.380.440.490.540.580.620.650.680.710.740.770.790.810.830.860.880.890.910.920.930.930.950.960.980.981.000.720.530.400.430.070.00
11.600.760.760.760.750.750.740.740.730.730.730.720.710.710.700.690.680.680.670.660.650.640.630.620.600.590.570.560.540.520.500.480.460.430.400.370.340.300.260.210.150.070.000.000.000.000.000.000.000.000.000.000.000.140.240.320.380.440.500.540.580.620.650.690.720.740.770.790.820.840.860.880.900.920.920.930.940.960.970.981.000.750.550.370.240.080.00
11.200.750.750.740.740.740.730.730.720.720.710.710.700.690.680.680.670.660.650.640.630.620.610.590.580.570.550.530.510.490.470.450.420.400.360.330.300.260.210.150.080.000.000.000.000.000.000.000.000.000.000.000.000.010.140.240.320.390.450.500.550.590.620.660.690.720.750.770.800.820.850.870.890.910.920.920.930.950.970.980.990.800.580.390.260.080.00
10.800.740.740.730.730.730.720.720.710.700.700.690.680.680.670.660.650.640.630.620.610.600.580.570.560.540.520.500.480.460.440.420.390.360.330.290.250.210.160.090.000.000.000.000.000.000.000.000.000.000.000.000.000.000.010.150.250.330.390.450.500.550.590.620.660.690.720.750.780.800.830.850.880.900.910.920.920.940.960.980.991.000.610.410.270.090.00
10.400.730.730.720.720.710.710.700.690.690.680.670.670.660.650.640.630.620.610.600.590.570.560.540.530.510.490.470.450.430.410.380.350.320.290.250.210.160.100.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.020.150.250.330.400.450.500.550.590.620.660.690.730.750.780.810.840.860.890.900.910.910.930.960.970.981.000.640.430.280.090.00
10.000.720.710.710.700.700.690.690.680.670.660.660.650.640.630.620.610.600.590.580.560.550.530.520.500.480.460.440.420.400.370.340.310.280.240.200.160.100.030.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.030.160.260.330.400.450.500.550.580.620.660.700.730.760.790.810.840.870.890.910.910.910.950.970.981.001.000.450.300.100.00
9.600.710.700.690.690.680.680.670.660.650.650.640.630.620.610.600.590.580.560.550.540.520.510.490.470.450.430.410.390.360.330.300.270.240.200.150.100.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.030.160.260.340.400.450.500.540.580.620.660.700.730.760.790.820.850.880.900.910.900.930.960.980.991.000.480.310.110.00
9.200.690.680.680.670.660.660.650.640.640.630.620.610.600.590.580.570.550.540.520.510.490.480.460.440.420.400.370.350.320.290.270.230.190.150.100.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.030.160.260.330.400.450.500.540.580.620.660.700.730.760.800.830.870.890.900.890.910.950.980.991.001.000.330.110.00
8.800.670.670.660.650.650.640.630.620.620.610.600.580.580.560.550.540.520.510.500.480.460.450.430.410.390.360.340.310.280.260.220.190.140.100.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.040.160.260.330.390.440.490.530.580.630.670.700.740.770.810.840.880.900.890.890.940.970.991.001.000.350.120.00
8.400.660.TD>0.991.001.000.350.120.00
8.400.660.650.640.640.630.620.610.600.590.580.570.560.550.540.520.510.500.480.470.450.430.410.390.370.350.330.300.270.240.210.180.140.090.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.040.160.250.330.390.440.480.530.580.630.670.700.740.780.820.860.880.900.870.920.960.981.001.000.370.130.00
8.000.640.630.620.610.610.600.590.580.570.560.550.530.520.510.500.480.470.450.430.420.400.380.360.340.310.290.260.230.200.170.130.090.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.040.150.250.320.380.430.470.530.580.630.670.710.750.790.830.870.890.870.880.950.980.991.001.000.140.00
7.600.620.610.600.590.580.570.560.550.540.530.520.500.490.480.460.450.430.420.400.380.360.340.320.300.270.250.220.190.160.120.080.030.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.020.150.240.300.360.410.470.530.580.630.670.710.750.800.850.880.880.830.930.970.991.000.900.150.00
7.200.590.580.580.570.560.550.540.520.510.500.490.480.460.450.430.420.400.380.360.340.320.300.280.260.230.200.170.140.110.070.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.130.210.290.350.400.470.530.580.620.670.710.770.820.850.880.810.890.970.990.980.480.170.00
6.800.570.560.550.540.530.520.500.490.480.470.460.440.430.410.400.380.360.340.320.300.280.260.240.210.190.160.130.090.050.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.110.200.270.320.390.470.520.570.620.670.720.780.830.870.850.800.950.980.831.000.180.00
6.400.540.530.520.510.500.490.470.460.450.430.420.410.390.370.360.340.320.300.280.260.240.220.190.170.140.110.070.040.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.070.180.230.300.400.460.510.570.620.670.740.800.830.880.720.910.981.000.990.200.00
6.000.510.500.490.470.460.450.440.420.410.400.380.370.350.330.320.300.280.260.240.220.200.170.150.120.090.050.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.040.120.190.300.390.440.500.560.620.680.760.800.860.760.810.970.990.590.220.00
5.600.470.460.450.440.420.410.400.390.370.360.340.330.310.290.270.260.240.210.190.170.150.120.100.070.030.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.050.170.290.360.430.490.550.620.700.780.810.870.600.940.990.650.240.00
5.200.430.420.410.400.380.370.360.340.330.310.300.280.260.250.230.210.190.170.140.120.100.070.040.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.180.270.330.410.480.540.620.730.760.860.570.860.981.000.270.00
4.800.390.380.370.350.340.330.310.300.280.270.250.230.210.200.180.160.140.120.090.070.040.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.130.230.300.380.460.540.650.720.780.780.510.971.000.300.00
4.400.340.330.320.300.290.270.260.250.230.210.200.180.160.140.120.100.080.060.030.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.060.170.270.350.450.550.710.720.880.300.900.990.350.00
4.000.290.280.270.250.240.220.200.190.170.160.140.120.100.090.060.040.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.080.200.300.390.560.590.740.410.690.990.400.00
3.600.230.220.200.190.180.160.140.130.110.100.080.060.040.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.020.170.310.420.630.610.960.000.980.470.00
3.200.170.150.140.120.110.090.080.060.050.030.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.240.420.660.640.780.000.780.570.00
2.800.090.080.060.050.030.020.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.040.080.460.000.740.00
2.400.010.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.120.290.420.490.770.720.990.000.990.00
2.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
1.600.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
1.200.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.960.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
0.800.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
0.400.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00
Probabilities:
252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110
30.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
29.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
29.201.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
28.801.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
28.401.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
28.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
27.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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25.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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23.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.980.980.980.970.980.980.990.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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21.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.980.980.980.980.970.970.960.950.950.960.960.970.980.980.990.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
21.201.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.980.980.980.980.970.970.960.960.950.940.950.960.970.970.980.980.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
20.801.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.980.980.980.980.970.970.960.960.950.940.930.940.950.960.970.970.980.990.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
20.401.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.990.980.980.980.970.970.960.960.950.940.930.920.930.950.960.960.970.980.980.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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19.601.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.990.980.980.980.970.970.970.960.950.950.940.930.920.900.920.930.940.950.960.970.980.980.990.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
19.201.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.000.990.990.990.990.990.990.990.990.980.980.980.970.970.970.960.960.950.940.930.920.910.890.910.920.930.950.960.960.970.980.980.990.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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11.601.001.001.000.990.990.990.990.990.990.990.990.990.990.980.980.980.980.970.970.970.960.960.950.950.940.940.930.920.910.910.900.880.870.860.840.830.810.790.770.750.720.690.660.630.590.540.570.600.620.650.680.700.730.760.780.810.830.860.880.900.910.930.940.960.970.980.980.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
11.201.001.000.990.990.990.990.990.990.990.990.990.980.980.980.980.980.970.970.970.960.960.950.950.940.940.930.920.910.910.900.880.870.860.850.830.810.790.780.750.730.700.670.640.600.560.520.540.570.600.620.650.680.710.740.760.790.810.840.860.880.900.920.930.950.960.970.980.980.990.991.001.001.001.001.001.001.001.001.001.001.001.001.001.001.001.00
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