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i = 12%           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  |      1.120000  |  0.89285714  |       1.000000  |  1.00000000  |  0.89285714  |  1.1200000000
  2  |      1.254400  |  0.79719388  |       2.120000  |  0.47169811  |  1.69005102  |  0.5916981132
  3  |      1.404928  |  0.71178025  |       3.374400  |  0.29634898  |  2.40183127  |  0.4163489806
  4  |      1.573519  |  0.63551808  |       4.779328  |  0.20923444  |  3.03734935  |  0.3292344363
  5  |      1.762342  |  0.56742686  |       6.352847  |  0.15740973  |  3.60477620  |  0.2774097319
  6  |      1.973823  |  0.50663112  |       8.115189  |  0.12322572  |  4.11140732  |  0.2432257184
  7  |      2.210681  |  0.45234922  |      10.089012  |  0.09911774  |  4.56375654  |  0.2191177359
  8  |      2.475963  |  0.40388323  |      12.299693  |  0.08130284  |  4.96763977  |  0.2013028414
  9  |      2.773079  |  0.36061002  |      14.775656  |  0.06767889  |  5.32824979  |  0.1876788888
 10  |      3.105848  |  0.32197324  |      17.548735  |  0.05698416  |  5.65022303  |  0.1769841642
 11  |      3.478550  |  0.28747610  |      20.654583  |  0.04841540  |  5.93769913  |  0.1684154043
 12  |      3.895976  |  0.25667509  |      24.133133  |  0.04143681  |  6.19437423  |  0.1614368076
 13  |      4.363493  |  0.22917419  |      28.029109  |  0.03567720  |  6.42354842  |  0.1556771951
 14  |      4.887112  |  0.20461981  |      32.392602  |  0.03087125  |  6.62816823  |  0.1508712461
 15  |      5.473566  |  0.18269626  |      37.279715  |  0.02682424  |  6.81086449  |  0.1468242396
 16  |      6.130394  |  0.16312166  |      42.753280  |  0.02339002  |  6.97398615  |  0.1433900180
 17  |      6.866041  |  0.14564434  |      48.883674  |  0.02045673  |  7.11963049  |  0.1404567275
 18  |      7.689966  |  0.13003959  |      55.749715  |  0.01793731  |  7.24967008  |  0.1379373114
 19  |      8.612762  |  0.11610678  |      63.439681  |  0.01576300  |  7.36577686  |  0.1357630049
 20  |      9.646293  |  0.10366677  |      72.052442  |  0.01387878  |  7.46944362  |  0.1338787800
 21  |     10.803848  |  0.09255961  |      81.698736  |  0.01224009  |  7.56200324  |  0.1322400915
 22  |     12.100310  |  0.08264251  |      92.502584  |  0.01081051  |  7.64464575  |  0.1308105088
 23  |     13.552347  |  0.07378796  |     104.602894  |  0.00955996  |  7.71843370  |  0.1295599650
 24  |     15.178629  |  0.06588210  |     118.155241  |  0.00846344  |  7.78431581  |  0.1284634417
 25  |     17.000064  |  0.05882331  |     133.333870  |  0.00749997  |  7.84313911  |  0.1274999698
 26  |     19.040072  |  0.05252081  |     150.333934  |  0.00665186  |  7.89565992  |  0.1266518581
 27  |     21.324881  |  0.04689358  |     169.374007  |  0.00590409  |  7.94255350  |  0.1259040937
 28  |     23.883866  |  0.04186927  |     190.698887  |  0.00524387  |  7.98442277  |  0.1252438691
 29  |     26.749930  |  0.03738327  |     214.582754  |  0.00466021  |  8.02180604  |  0.1246602068
 30  |     29.959922  |  0.03337792  |     241.332684  |  0.00414366  |  8.05518397  |  0.1241436576
 31  |     33.555113  |  0.02980172  |     271.292606  |  0.00368606  |  8.08498569  |  0.1236860570
 32  |     37.581726  |  0.02660868  |     304.847719  |  0.00328033  |  8.11159436  |  0.1232803263
 33  |     42.091533  |  0.02375775  |     342.429446  |  0.00292031  |  8.13535211  |  0.1229203096
 34  |     47.142517  |  0.02121227  |     384.520979  |  0.00260064  |  8.15656438  |  0.1226006383
 35  |     52.799620  |  0.01893953  |     431.663496  |  0.00231662  |  8.17550391  |  0.1223166193
 36  |     59.135574  |  0.01691029  |     484.463116  |  0.00206414  |  8.19241421  |  0.1220641406
 37  |     66.231843  |  0.01509848  |     543.598690  |  0.00183959  |  8.20751269  |  0.1218395924
 38  |     74.179664  |  0.01348078  |     609.830533  |  0.00163980  |  8.22099347  |  0.1216397998
 39  |     83.081224  |  0.01203641  |     684.010197  |  0.00146197  |  8.23302988  |  0.1214619665
 40  |     93.050970  |  0.01074680  |     767.091420  |  0.00130363  |  8.24377668  |  0.1213036256
 41  |    104.217087  |  0.00959536  |     860.142391  |  0.00116260  |  8.25337204  |  0.1211625982
 42  |    116.723137  |  0.00856728  |     964.359478  |  0.00103696  |  8.26193932  |  0.1210369577
 43  |    130.729914  |  0.00764936  |    1081.082615  |  0.00092500  |  8.26958868  |  0.1209249987
 44  |    146.417503  |  0.00682978  |    1211.812529  |  0.00082521  |  8.27641846  |  0.1208252102
 45  |    163.987604  |  0.00609802  |    1358.230032  |  0.00073625  |  8.28251648  |  0.1207362523
 46  |    183.666116  |  0.00544466  |    1522.217636  |  0.00065694  |  8.28796115  |  0.1206569363
 47  |    205.706050  |  0.00486131  |    1705.883752  |  0.00058621  |  8.29282245  |  0.1205862064
 48  |    230.390776  |  0.00434045  |    1911.589803  |  0.00052312  |  8.29716290  |  0.1205231248
 49  |    258.037669  |  0.00387540  |    2141.980579  |  0.00046686  |  8.30103831  |  0.1204668576
 50  |    289.002190  |  0.00346018  |    2400.018249  |  0.00041666  |  8.30449849  |  0.1204166635
 51  |    323.682453  |  0.00308945  |    2689.020438  |  0.00037188  |  8.30758794  |  0.1203718826
 52  |    362.524347  |  0.00275844  |    3012.702891  |  0.00033193  |  8.31034637  |  0.1203319279
 53  |    406.027269  |  0.00246289  |    3375.227238  |  0.00029628  |  8.31280926  |  0.1202962763
 54  |    454.750541  |  0.00219901  |    3781.254506  |  0.00026446  |  8.31500827  |  0.1202644625
 55  |    509.320606  |  0.00196340  |    4236.005047  |  0.00023607  |  8.31697167  |  0.1202360715
 56  |    570.439078  |  0.00175304  |    4745.325653  |  0.00021073  |  8.31872470  |  0.1202107337
 57  |    638.891768  |  0.00156521  |    5315.764731  |  0.00018812  |  8.32028991  |  0.1201881197
 58  |    715.558780  |  0.00139751  |    5954.656499  |  0.00016794  |  8.32168742  |  0.1201679358
 59  |    801.425833  |  0.00124778  |    6670.215279  |  0.00014992  |  8.32293520  |  0.1201499202
 60  |    897.596933  |  0.00111409  |    7471.641112  |  0.00013384  |  8.32404928  |  0.1201338394
 61  |   1005.308566  |  0.00099472  |    8369.238046  |  0.00011949  |  8.32504400  |  0.1201194852
 62  |   1125.945593  |  0.00088814  |    9374.546611  |  0.00010667  |  8.32593215  |  0.1201066718
 63  |   1261.059065  |  0.00079298  |   10500.492205  |  0.00009523  |  8.32672513  |  0.1200952336
 64  |   1412.386152  |  0.00070802  |   11761.551269  |  0.00008502  |  8.32743315  |  0.1200850228
 65  |   1581.872491  |  0.00063216  |   13173.937422  |  0.00007591  |  8.32806531  |  0.1200759075
 66  |   1771.697189  |  0.00056443  |   14755.809912  |  0.00006777  |  8.32862975  |  0.1200677699
 67  |   1984.300852  |  0.00050396  |   16527.507102  |  0.00006051  |  8.32913370  |  0.1200605052
 68  |   2222.416954  |  0.00044996  |   18511.807954  |  0.00005402  |  8.32958366  |  0.1200540196
 69  |   2489.106989  |  0.00040175  |   20734.224908  |  0.00004823  |  8.32998541  |  0.1200482294
 70  |   2787.799828  |  0.00035871  |   23223.331897  |  0.00004306  |  8.33034412  |  0.1200430601
 71  |   3122.335807  |  0.00032027  |   26011.131725  |  0.00003845  |  8.33066439  |  0.1200384451
 72  |   3497.016104  |  0.00028596  |   29133.467532  |  0.00003432  |  8.33095035  |  0.1200343248
 73  |   3916.658036  |  0.00025532  |   32630.483636  |  0.00003065  |  8.33120567  |  0.1200306462
 74  |   4386.657001  |  0.00022796  |   36547.141672  |  0.00002736  |  8.33143363  |  0.1200273619
 75  |   4913.055841  |  0.00020354  |   40933.798673  |  0.00002443  |  8.33163717  |  0.1200244297
 76  |   5502.622542  |  0.00018173  |   45846.854514  |  0.00002181  |  8.33181890  |  0.1200218117
 77  |   6162.937247  |  0.00016226  |   51349.477056  |  0.00001947  |  8.33198116  |  0.1200194744
 78  |   6902.489716  |  0.00014488  |   57512.414302  |  0.00001739  |  8.33212604  |  0.1200173876
 79  |   7730.788482  |  0.00012935  |   64414.904018  |  0.00001552  |  8.33225539  |  0.1200155244
 80  |   8658.483100  |  0.00011549  |   72145.692501  |  0.00001386  |  8.33237089  |  0.1200138608
 81  |   9697.501072  |  0.00010312  |   80804.175601  |  0.00001238  |  8.33247401  |  0.1200123756
 82  |  10861.201201  |  0.00009207  |   90501.676673  |  0.00001105  |  8.33256608  |  0.1200110495
 83  |  12164.545345  |  0.00008221  |  101362.877874  |  0.00000987  |  8.33264828  |  0.1200098655
 84  |  13624.290786  |  0.00007340  |  113527.423218  |  0.00000881  |  8.33272168  |  0.1200088084
 85  |  15259.205681  |  0.00006553  |  127151.714005  |  0.00000786  |  8.33278721  |  0.1200078646
 86  |  17090.310362  |  0.00005851  |  142410.919685  |  0.00000702  |  8.33284573  |  0.1200070219
 87  |  19141.147606  |  0.00005224  |  159501.230047  |  0.00000627  |  8.33289797  |  0.1200062695
 88  |  21438.085318  |  0.00004665  |  178642.377653  |  0.00000560  |  8.33294462  |  0.1200055978
 89  |  24010.655557  |  0.00004165  |  200080.462971  |  0.00000500  |  8.33298627  |  0.1200049980
 90  |  26891.934223  |  0.00003719  |  224091.118528  |  0.00000446  |  8.33302345  |  0.1200044625
 91  |  30118.966330  |  0.00003320  |  250983.052751  |  0.00000398  |  8.33305665  |  0.1200039843
 92  |  33733.242290  |  0.00002964  |  281102.019082  |  0.00000356  |  8.33308630  |  0.1200035574
 93  |  37781.231365  |  0.00002647  |  314835.261371  |  0.00000318  |  8.33311277  |  0.1200031763
 94  |  42314.979128  |  0.00002363  |  352616.492736  |  0.00000284  |  8.33313640  |  0.1200028359
 95  |  47392.776624  |  0.00002110  |  394931.471864  |  0.00000253  |  8.33315750  |  0.1200025321
 96  |  53079.909819  |  0.00001884  |  442324.248488  |  0.00000226  |  8.33317634  |  0.1200022608
 97  |  59449.498997  |  0.00001682  |  495404.158306  |  0.00000202  |  8.33319316  |  0.1200020186
 98  |  66583.438876  |  0.00001502  |  554853.657303  |  0.00000180  |  8.33320818  |  0.1200018023
 99  |  74573.451542  |  0.00001341  |  621437.096180  |  0.00000161  |  8.33322159  |  0.1200016092
100  |  83522.265727  |  0.00001197  |  696010.547721  |  0.00000144  |  8.33323356  |  0.1200014368
1