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i = 11%           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  |      1.110000  |  0.90090090  |       1.000000  |  1.00000000  |  0.90090090  |  1.1100000000
  2  |      1.232100  |  0.81162243  |       2.110000  |  0.47393365  |  1.71252333  |  0.5839336493
  3  |      1.367631  |  0.73119138  |       3.342100  |  0.29921307  |  2.44371472  |  0.4092130696
  4  |      1.518070  |  0.65873097  |       4.709731  |  0.21232635  |  3.10244569  |  0.3223263515
  5  |      1.685058  |  0.59345133  |       6.227801  |  0.16057031  |  3.69589702  |  0.2705703095
  6  |      1.870415  |  0.53464084  |       7.912860  |  0.12637656  |  4.23053785  |  0.2363765636
  7  |      2.076160  |  0.48165841  |       9.783274  |  0.10221527  |  4.71219626  |  0.2122152695
  8  |      2.304538  |  0.43392650  |      11.859434  |  0.08432105  |  5.14612276  |  0.1943210542
  9  |      2.558037  |  0.39092477  |      14.163972  |  0.07060166  |  5.53704753  |  0.1806016644
 10  |      2.839421  |  0.35218448  |      16.722009  |  0.05980143  |  5.88923201  |  0.1698014271
 11  |      3.151757  |  0.31728331  |      19.561430  |  0.05112101  |  6.20651533  |  0.1611210071
 12  |      3.498451  |  0.28584082  |      22.713187  |  0.04402729  |  6.49235615  |  0.1540272864
 13  |      3.883280  |  0.25751426  |      26.211638  |  0.03815099  |  6.74987040  |  0.1481509925
 14  |      4.310441  |  0.23199482  |      30.094918  |  0.03322820  |  6.98186523  |  0.1432282015
 15  |      4.784589  |  0.20900435  |      34.405359  |  0.02906524  |  7.19086958  |  0.1390652395
 16  |      5.310894  |  0.18829220  |      39.189948  |  0.02551675  |  7.37916178  |  0.1355167470
 17  |      5.895093  |  0.16963262  |      44.500843  |  0.02247148  |  7.54879440  |  0.1324714845
 18  |      6.543553  |  0.15282218  |      50.395936  |  0.01984287  |  7.70161657  |  0.1298428701
 19  |      7.263344  |  0.13767764  |      56.939488  |  0.01756250  |  7.83929421  |  0.1275625041
 20  |      8.062312  |  0.12403391  |      64.202832  |  0.01557564  |  7.96332812  |  0.1255756369
 21  |      8.949166  |  0.11174226  |      72.265144  |  0.01383793  |  8.07507038  |  0.1238379300
 22  |      9.933574  |  0.10066870  |      81.214309  |  0.01231310  |  8.17573908  |  0.1223131011
 23  |     11.026267  |  0.09069252  |      91.147884  |  0.01097118  |  8.26643160  |  0.1209711818
 24  |     12.239157  |  0.08170498  |     102.174151  |  0.00978721  |  8.34813658  |  0.1197872113
 25  |     13.585464  |  0.07360809  |     114.413307  |  0.00874024  |  8.42174466  |  0.1187402421
 26  |     15.079865  |  0.06631359  |     127.998771  |  0.00781258  |  8.48805826  |  0.1178125750
 27  |     16.738650  |  0.05974197  |     143.078636  |  0.00698916  |  8.54780023  |  0.1169891636
 28  |     18.579901  |  0.05382160  |     159.817286  |  0.00625715  |  8.60162183  |  0.1162571454
 29  |     20.623691  |  0.04848793  |     178.397187  |  0.00560547  |  8.65010976  |  0.1156054695
 30  |     22.892297  |  0.04368282  |     199.020878  |  0.00502460  |  8.69379257  |  0.1150245985
 31  |     25.410449  |  0.03935389  |     221.913174  |  0.00450627  |  8.73314646  |  0.1145062669
 32  |     28.205599  |  0.03545395  |     247.323624  |  0.00404329  |  8.76860042  |  0.1140432854
 33  |     31.308214  |  0.03194050  |     275.529222  |  0.00362938  |  8.80054092  |  0.1136293791
 34  |     34.752118  |  0.02877522  |     306.837437  |  0.00325905  |  8.82931614  |  0.1132590547
 35  |     38.574851  |  0.02592363  |     341.589555  |  0.00292749  |  8.85523977  |  0.1129274900
 36  |     42.818085  |  0.02335462  |     380.164406  |  0.00263044  |  8.87859438  |  0.1126304409
 37  |     47.528074  |  0.02104020  |     422.982490  |  0.00236416  |  8.89963458  |  0.1123641641
 38  |     52.756162  |  0.01895513  |     470.510564  |  0.00212535  |  8.91858971  |  0.1121253508
 39  |     58.559340  |  0.01707670  |     523.266726  |  0.00191107  |  8.93566641  |  0.1119110713
 40  |     65.000867  |  0.01538441  |     581.826066  |  0.00171873  |  8.95105082  |  0.1117187267
 41  |     72.150963  |  0.01385983  |     646.826934  |  0.00154601  |  8.96491065  |  0.1115460086
 42  |     80.087569  |  0.01248633  |     718.977896  |  0.00139086  |  8.97739698  |  0.1113908633
 43  |     88.897201  |  0.01124895  |     799.065465  |  0.00125146  |  8.98864593  |  0.1112514619
 44  |     98.675893  |  0.01013419  |     887.962666  |  0.00112617  |  8.99878011  |  0.1111261735
 45  |    109.530242  |  0.00912990  |     986.638559  |  0.00101354  |  9.00791001  |  0.1110135424
 46  |    121.578568  |  0.00822513  |    1096.168801  |  0.00091227  |  9.01613515  |  0.1109122683
 47  |    134.952211  |  0.00741003  |    1217.747369  |  0.00082119  |  9.02354518  |  0.1108211884
 48  |    149.796954  |  0.00667570  |    1352.699580  |  0.00073926  |  9.03022088  |  0.1107392624
 49  |    166.274619  |  0.00601415  |    1502.496533  |  0.00066556  |  9.03623503  |  0.1106655589
 50  |    184.564827  |  0.00541815  |    1668.771152  |  0.00059924  |  9.04165318  |  0.1105992433
 51  |    204.866958  |  0.00488122  |    1853.335979  |  0.00053957  |  9.04653439  |  0.1105395676
 52  |    227.402323  |  0.00439749  |    2058.202937  |  0.00048586  |  9.05093189  |  0.1104858607
 53  |    252.416579  |  0.00396170  |    2285.605260  |  0.00043752  |  9.05489359  |  0.1104375209
 54  |    280.182402  |  0.00356910  |    2538.021838  |  0.00039401  |  9.05846270  |  0.1103940076
 55  |    311.002466  |  0.00321541  |    2818.204240  |  0.00035484  |  9.06167810  |  0.1103548359
 56  |    345.212738  |  0.00289676  |    3129.206707  |  0.00031957  |  9.06457487  |  0.1103195698
 57  |    383.186139  |  0.00260970  |    3474.419445  |  0.00028782  |  9.06718457  |  0.1102878179
 58  |    425.336614  |  0.00235108  |    3857.605583  |  0.00025923  |  9.06953565  |  0.1102592282
 59  |    472.123642  |  0.00211809  |    4282.942198  |  0.00023348  |  9.07165373  |  0.1102334844
 60  |    524.057242  |  0.00190819  |    4755.065839  |  0.00021030  |  9.07356192  |  0.1102103020
 61  |    581.703539  |  0.00171909  |    5279.123082  |  0.00018943  |  9.07528101  |  0.1101894254
 62  |    645.690928  |  0.00154873  |    5860.826621  |  0.00017062  |  9.07682974  |  0.1101706244
 63  |    716.716930  |  0.00139525  |    6506.517549  |  0.00015369  |  9.07822499  |  0.1101536920
 64  |    795.555793  |  0.00125698  |    7223.234479  |  0.00013844  |  9.07948197  |  0.1101384421
 65  |    883.066930  |  0.00113242  |    8018.790272  |  0.00012471  |  9.08061439  |  0.1101247071
 66  |    980.204292  |  0.00102020  |    8901.857202  |  0.00011234  |  9.08163459  |  0.1101123361
 67  |   1088.026764  |  0.00091910  |    9882.061494  |  0.00010119  |  9.08255368  |  0.1101011935
 68  |   1207.709708  |  0.00082801  |   10970.088259  |  0.00009116  |  9.08338170  |  0.1100911570
 69  |   1340.557776  |  0.00074596  |   12177.797967  |  0.00008212  |  9.08412765  |  0.1100821167
 70  |   1488.019132  |  0.00067203  |   13518.355744  |  0.00007397  |  9.08479969  |  0.1100739735
 71  |   1651.701236  |  0.00060544  |   15006.374875  |  0.00006664  |  9.08540512  |  0.1100666383
 72  |   1833.388372  |  0.00054544  |   16658.076112  |  0.00006003  |  9.08595056  |  0.1100600309
 73  |   2035.061093  |  0.00049139  |   18491.464484  |  0.00005408  |  9.08644195  |  0.1100540790
 74  |   2258.917813  |  0.00044269  |   20526.525577  |  0.00004872  |  9.08688464  |  0.1100487175
 75  |   2507.398773  |  0.00039882  |   22785.443391  |  0.00004389  |  9.08728346  |  0.1100438877
 76  |   2783.212638  |  0.00035930  |   25292.842164  |  0.00003954  |  9.08764275  |  0.1100395369
 77  |   3089.366028  |  0.00032369  |   28076.054802  |  0.00003562  |  9.08796645  |  0.1100356175
 78  |   3429.196291  |  0.00029161  |   31165.420830  |  0.00003209  |  9.08825806  |  0.1100320868
 79  |   3806.407883  |  0.00026271  |   34594.617121  |  0.00002891  |  9.08852077  |  0.1100289062
 80  |   4225.112750  |  0.00023668  |   38401.025004  |  0.00002604  |  9.08875745  |  0.1100260410
 81  |   4689.875153  |  0.00021323  |   42626.137755  |  0.00002346  |  9.08897068  |  0.1100234598
 82  |   5205.761420  |  0.00019209  |   47316.012908  |  0.00002113  |  9.08916277  |  0.1100211345
 83  |   5778.395176  |  0.00017306  |   52521.774328  |  0.00001904  |  9.08933583  |  0.1100190397
 84  |   6414.018645  |  0.00015591  |   58300.169504  |  0.00001715  |  9.08949174  |  0.1100171526
 85  |   7119.560696  |  0.00014046  |   64714.188149  |  0.00001545  |  9.08963220  |  0.1100154526
 86  |   7902.712373  |  0.00012654  |   71833.748846  |  0.00001392  |  9.08975874  |  0.1100139210
 87  |   8772.010734  |  0.00011400  |   79736.461219  |  0.00001254  |  9.08987274  |  0.1100125413
 88  |   9736.931915  |  0.00010270  |   88508.471953  |  0.00001130  |  9.08997544  |  0.1100112984
 89  |  10807.994425  |  0.00009252  |   98245.403868  |  0.00001018  |  9.09006796  |  0.1100101786
 90  |  11996.873812  |  0.00008336  |  109053.398293  |  0.00000917  |  9.09015132  |  0.1100091698
 91  |  13316.529932  |  0.00007509  |  121050.272105  |  0.00000826  |  9.09022641  |  0.1100082610
 92  |  14781.348224  |  0.00006765  |  134366.802037  |  0.00000744  |  9.09029407  |  0.1100074423
 93  |  16407.296529  |  0.00006095  |  149148.150261  |  0.00000670  |  9.09035501  |  0.1100067047
 94  |  18212.099147  |  0.00005491  |  165555.446789  |  0.00000604  |  9.09040992  |  0.1100060403
 95  |  20215.430053  |  0.00004947  |  183767.545936  |  0.00000544  |  9.09045939  |  0.1100054417
 96  |  22439.127359  |  0.00004457  |  203982.975989  |  0.00000490  |  9.09050395  |  0.1100049024
 97  |  24907.431368  |  0.00004015  |  226422.103348  |  0.00000442  |  9.09054410  |  0.1100044165
 98  |  27647.248819  |  0.00003617  |  251329.534716  |  0.00000398  |  9.09058027  |  0.1100039788
 99  |  30688.446189  |  0.00003259  |  278976.783535  |  0.00000358  |  9.09061286  |  0.1100035845
100  |  34064.175270  |  0.00002936  |  309665.229724  |  0.00000323  |  9.09064221  |  0.1100032293
1