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i = 10%           0 < n < 100


  n      F/P, i, n       P/F, i, n        F/A, i, n       A/F, i, n      P/A, i, n       A/P, i, n

  1  |      1.100000  |  0.90909091  |       1.000000  |  1.00000000  |  0.90909091  |  1.1000000000
  2  |      1.210000  |  0.82644628  |       2.100000  |  0.47619048  |  1.73553719  |  0.5761904762
  3  |      1.331000  |  0.75131480  |       3.310000  |  0.30211480  |  2.48685199  |  0.4021148036
  4  |      1.464100  |  0.68301346  |       4.641000  |  0.21547080  |  3.16986545  |  0.3154708037
  5  |      1.610510  |  0.62092132  |       6.105100  |  0.16379748  |  3.79078677  |  0.2637974808
  6  |      1.771561  |  0.56447393  |       7.715610  |  0.12960738  |  4.35526070  |  0.2296073804
  7  |      1.948717  |  0.51315812  |       9.487171  |  0.10540550  |  4.86841882  |  0.2054054997
  8  |      2.143589  |  0.46650738  |      11.435888  |  0.08744402  |  5.33492620  |  0.1874440176
  9  |      2.357948  |  0.42409762  |      13.579477  |  0.07364054  |  5.75902382  |  0.1736405391
 10  |      2.593742  |  0.38554329  |      15.937425  |  0.06274539  |  6.14456711  |  0.1627453949
 11  |      2.853117  |  0.35049390  |      18.531167  |  0.05396314  |  6.49506101  |  0.1539631420
 12  |      3.138428  |  0.31863082  |      21.384284  |  0.04676332  |  6.81369182  |  0.1467633151
 13  |      3.452271  |  0.28966438  |      24.522712  |  0.04077852  |  7.10335620  |  0.1407785238
 14  |      3.797498  |  0.26333125  |      27.974983  |  0.03574622  |  7.36668746  |  0.1357462232
 15  |      4.177248  |  0.23939205  |      31.772482  |  0.03147378  |  7.60607951  |  0.1314737769
 16  |      4.594973  |  0.21762914  |      35.949730  |  0.02781662  |  7.82370864  |  0.1278166207
 17  |      5.054470  |  0.19784467  |      40.544703  |  0.02466413  |  8.02155331  |  0.1246641344
 18  |      5.559917  |  0.17985879  |      45.599173  |  0.02193022  |  8.20141210  |  0.1219302222
 19  |      6.115909  |  0.16350799  |      51.159090  |  0.01954687  |  8.36492009  |  0.1195468682
 20  |      6.727500  |  0.14864363  |      57.274999  |  0.01745962  |  8.51356372  |  0.1174596248
 21  |      7.400250  |  0.13513057  |      64.002499  |  0.01562439  |  8.64869429  |  0.1156243898
 22  |      8.140275  |  0.12284597  |      71.402749  |  0.01400506  |  8.77154026  |  0.1140050630
 23  |      8.954302  |  0.11167816  |      79.543024  |  0.01257181  |  8.88321842  |  0.1125718127
 24  |      9.849733  |  0.10152560  |      88.497327  |  0.01129978  |  8.98474402  |  0.1112997764
 25  |     10.834706  |  0.09229600  |      98.347059  |  0.01016807  |  9.07704002  |  0.1101680722
 26  |     11.918177  |  0.08390545  |     109.181765  |  0.00915904  |  9.16094547  |  0.1091590386
 27  |     13.109994  |  0.07627768  |     121.099942  |  0.00825764  |  9.23722316  |  0.1082576423
 28  |     14.420994  |  0.06934335  |     134.209936  |  0.00745101  |  9.30656651  |  0.1074510132
 29  |     15.863093  |  0.06303941  |     148.630930  |  0.00672807  |  9.36960591  |  0.1067280747
 30  |     17.449402  |  0.05730855  |     164.494023  |  0.00607925  |  9.42691447  |  0.1060792483
 31  |     19.194342  |  0.05209868  |     181.943425  |  0.00549621  |  9.47901315  |  0.1054962140
 32  |     21.113777  |  0.04736244  |     201.137767  |  0.00497172  |  9.52637559  |  0.1049717167
 33  |     23.225154  |  0.04305676  |     222.251544  |  0.00449941  |  9.56943236  |  0.1044994063
 34  |     25.547670  |  0.03914251  |     245.476699  |  0.00407371  |  9.60857487  |  0.1040737064
 35  |     28.102437  |  0.03558410  |     271.024368  |  0.00368971  |  9.64415897  |  0.1036897051
 36  |     30.912681  |  0.03234918  |     299.126805  |  0.00334306  |  9.67650816  |  0.1033430638
 37  |     34.003949  |  0.02940835  |     330.039486  |  0.00302994  |  9.70591651  |  0.1030299405
 38  |     37.404343  |  0.02673486  |     364.043434  |  0.00274692  |  9.73265137  |  0.1027469250
 39  |     41.144778  |  0.02430442  |     401.447778  |  0.00249098  |  9.75695579  |  0.1024909840
 40  |     45.259256  |  0.02209493  |     442.592556  |  0.00225941  |  9.77905072  |  0.1022594144
 41  |     49.785181  |  0.02008630  |     487.851811  |  0.00204980  |  9.79913702  |  0.1020498028
 42  |     54.763699  |  0.01826027  |     537.636992  |  0.00185999  |  9.81739729  |  0.1018599911
 43  |     60.240069  |  0.01660025  |     592.400692  |  0.00168805  |  9.83399753  |  0.1016880466
 44  |     66.264076  |  0.01509113  |     652.640761  |  0.00153224  |  9.84908867  |  0.1015322365
 45  |     72.890484  |  0.01371921  |     718.904837  |  0.00139100  |  9.86280788  |  0.1013910047
 46  |     80.179532  |  0.01247201  |     791.795321  |  0.00126295  |  9.87527989  |  0.1012629527
 47  |     88.197485  |  0.01133819  |     871.974853  |  0.00114682  |  9.88661808  |  0.1011468221
 48  |     97.017234  |  0.01030745  |     960.172338  |  0.00104148  |  9.89692553  |  0.1010414797
 49  |    106.718957  |  0.00937041  |    1057.189572  |  0.00094590  |  9.90629594  |  0.1009459041
 50  |    117.390853  |  0.00851855  |    1163.908529  |  0.00085917  |  9.91481449  |  0.1008591740
 51  |    129.129938  |  0.00774414  |    1281.299382  |  0.00078046  |  9.92255862  |  0.1007804577
 52  |    142.042932  |  0.00704013  |    1410.429320  |  0.00070900  |  9.92959875  |  0.1007090040
 53  |    156.247225  |  0.00640011  |    1552.472252  |  0.00064413  |  9.93599886  |  0.1006441339
 54  |    171.871948  |  0.00581829  |    1708.719477  |  0.00058523  |  9.94181715  |  0.1005852336
 55  |    189.059142  |  0.00528935  |    1880.591425  |  0.00053175  |  9.94710650  |  0.1005317476
 56  |    207.965057  |  0.00480850  |    2069.650567  |  0.00048317  |  9.95191500  |  0.1004831734
 57  |    228.761562  |  0.00437136  |    2277.615624  |  0.00043906  |  9.95628636  |  0.1004390556
 58  |    251.637719  |  0.00397397  |    2506.377186  |  0.00039898  |  9.96026033  |  0.1003989822
 59  |    276.801490  |  0.00361270  |    2758.014905  |  0.00036258  |  9.96387303  |  0.1003625796
 60  |    304.481640  |  0.00328427  |    3034.816395  |  0.00032951  |  9.96715730  |  0.1003295092
 61  |    334.929803  |  0.00298570  |    3339.298035  |  0.00029946  |  9.97014300  |  0.1002994641
 62  |    368.422784  |  0.00271427  |    3674.227838  |  0.00027217  |  9.97285727  |  0.1002721660
 63  |    405.265062  |  0.00246752  |    4042.650622  |  0.00024736  |  9.97532479  |  0.1002473625
 64  |    445.791568  |  0.00224320  |    4447.915685  |  0.00022482  |  9.97756799  |  0.1002248244
 65  |    490.370725  |  0.00203927  |    4893.707253  |  0.00020434  |  9.97960727  |  0.1002043441
 66  |    539.407798  |  0.00185388  |    5384.077978  |  0.00018573  |  9.98146115  |  0.1001857328
 67  |    593.348578  |  0.00168535  |    5923.485776  |  0.00016882  |  9.98314650  |  0.1001688195
 68  |    652.683435  |  0.00153214  |    6516.834354  |  0.00015345  |  9.98467864  |  0.1001534487
 69  |    717.951779  |  0.00139285  |    7169.517789  |  0.00013948  |  9.98607149  |  0.1001394794
 70  |    789.746957  |  0.00126623  |    7887.469568  |  0.00012678  |  9.98733772  |  0.1001267834
 71  |    868.721652  |  0.00115112  |    8677.216525  |  0.00011524  |  9.98848883  |  0.1001152443
 72  |    955.593818  |  0.00104647  |    9545.938177  |  0.00010476  |  9.98953530  |  0.1001047566
 73  |   1051.153200  |  0.00095134  |   10501.531995  |  0.00009522  |  9.99048664  |  0.1000952242
 74  |   1156.268519  |  0.00086485  |   11552.685195  |  0.00008656  |  9.99135149  |  0.1000865600
 75  |   1271.895371  |  0.00078623  |   12708.953714  |  0.00007868  |  9.99213772  |  0.1000786847
 76  |   1399.084909  |  0.00071475  |   13980.849085  |  0.00007153  |  9.99285247  |  0.1000715264
 77  |   1538.993399  |  0.00064978  |   15379.933994  |  0.00006502  |  9.99350225  |  0.1000650198
 78  |   1692.892739  |  0.00059070  |   16918.927393  |  0.00005911  |  9.99409295  |  0.1000591054
 79  |   1862.182013  |  0.00053700  |   18611.820133  |  0.00005373  |  9.99462996  |  0.1000537293
 80  |   2048.400215  |  0.00048819  |   20474.002146  |  0.00004884  |  9.99511814  |  0.1000488424
 81  |   2253.240236  |  0.00044381  |   22522.402360  |  0.00004440  |  9.99556195  |  0.1000444002
 82  |   2478.564260  |  0.00040346  |   24775.642596  |  0.00004036  |  9.99596541  |  0.1000403622
 83  |   2726.420686  |  0.00036678  |   27254.206856  |  0.00003669  |  9.99633219  |  0.1000366916
 84  |   2999.062754  |  0.00033344  |   29980.627542  |  0.00003335  |  9.99666562  |  0.1000333549
 85  |   3298.969030  |  0.00030313  |   32979.690296  |  0.00003032  |  9.99696875  |  0.1000303217
 86  |   3628.865933  |  0.00027557  |   36278.659326  |  0.00002756  |  9.99724432  |  0.1000275644
 87  |   3991.752526  |  0.00025052  |   39907.525258  |  0.00002506  |  9.99749483  |  0.1000250579
 88  |   4390.927778  |  0.00022774  |   43899.277784  |  0.00002278  |  9.99772258  |  0.1000227794
 89  |   4830.020556  |  0.00020704  |   48290.205562  |  0.00002071  |  9.99792962  |  0.1000207081
 90  |   5313.022612  |  0.00018822  |   53120.226118  |  0.00001883  |  9.99811783  |  0.1000188252
 91  |   5844.324873  |  0.00017111  |   58433.248730  |  0.00001711  |  9.99828894  |  0.1000171135
 92  |   6428.757360  |  0.00015555  |   64277.573603  |  0.00001556  |  9.99844449  |  0.1000155575
 93  |   7071.633096  |  0.00014141  |   70706.330964  |  0.00001414  |  9.99858590  |  0.1000141430
 94  |   7778.796406  |  0.00012855  |   77777.964060  |  0.00001286  |  9.99871445  |  0.1000128571
 95  |   8556.676047  |  0.00011687  |   85556.760466  |  0.00001169  |  9.99883132  |  0.1000116881
 96  |   9412.343651  |  0.00010624  |   94113.436513  |  0.00001063  |  9.99893757  |  0.1000106255
 97  |  10353.578016  |  0.00009658  |  103525.780164  |  0.00000966  |  9.99903415  |  0.1000096594
 98  |  11388.935818  |  0.00008780  |  113879.358180  |  0.00000878  |  9.99912195  |  0.1000087812
 99  |  12527.829400  |  0.00007982  |  125268.293998  |  0.00000798  |  9.99920178  |  0.1000079829
100  |  13780.612340  |  0.00007257  |  137796.123398  |  0.00000726  |  9.99927434  |  0.1000072571
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