library(readxl)
library(mixtools)
## Warning: package 'mixtools' was built under R version 4.3.1
## mixtools package, version 2.0.0, Released 2022-12-04
## This package is based upon work supported by the National Science Foundation under Grant No. SES-0518772 and the Chan Zuckerberg Initiative: Essential Open Source Software for Science (Grant No. 2020-255193).
library(sn)
## Warning: package 'sn' was built under R version 4.3.1
## Loading required package: stats4
## 
## Attaching package: 'sn'
## The following object is masked from 'package:stats':
## 
##     sd
library(rlang)
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.3.1
d <- read_excel("C:/Users/pc/Downloads/dataa.xlsx")

Bài tập tuần 6

Mô phỏng các biến

Mô phỏng Biến EBID

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
EBID<-gbm.f(n=10000, theta = 0.05, epsilon = 0.25, S0 =d$EBID[1])
plot(EBID, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô phỏng Biến RAGG

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
EAGG<-gbm.f(n=1000, theta = 0.05, epsilon = 0.25, S0 =d$EAGG[1])
plot(EAGG, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô phỏng Biến RSSI

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
ESSI<-gbm.f(n=10000, theta = 0.05, epsilon = 0.25, S0 =d$ESSI[1])
plot(ESSI, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô phỏng Biến RUSD

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
EUSD<-gbm.f(n=10000, theta = 0.05, epsilon = 0.25, S0 =d$EUSD[1])
plot(EUSD, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô phỏng Biến RMSFT

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
EMSFT<-gbm.f(n=10000, theta = 0.05, epsilon = 0.25, S0 =d$EMSFT[1])
plot(EMSFT, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô phỏng Biến RFPT

set.seed(1)
gbm.f= function(n,S0,theta, epsilon){
  t = 1
  t.s =seq(0,t,length=n)
  dt=t/n
  Bt = sqrt(dt)*cumsum(rnorm((n),0,1))
  St=S0*exp((theta-epsilon^2/2)*t.s+epsilon*Bt)
}
EFPT<-gbm.f(n=10000, theta = 0.05, epsilon = 0.25, S0 =d$EFPT[1])
plot(EFPT, type = 'l', col = 'blue', 
      ylab = "Price",
      xlab = "Time (Days)")

Mô hình

E = (-1.308e-18) +  1.000e+00*EBID +  1.000e+00*EAGG +  1.000e+00*ESSI +  1.000e+00*EMSFT +  1.000e+00*EUSD +  1.000e+00*EFPT
E
##     [1] 0.0018169335 0.0018240102 0.0017925040 0.0018531838 0.0018659183
##     [6] 0.0018346609 0.0018533744 0.0018818295 0.0019041827 0.0018924792
##    [11] 0.0019514044 0.0019668188 0.0019425688 0.0018569823 0.0019003970
##    [16] 0.0018987680 0.0018982513 0.0019350332 0.0019673191 0.0019908555
##    [21] 0.0020274742 0.0020589078 0.0020620193 0.0019828589 0.0020075117
##    [26] 0.0020053956 0.0019993287 0.0019415521 0.0019230145 0.0019394205
##    [31] 0.0019929537 0.0019890000 0.0020044663 0.0020024440 0.0019482923
##    [36] 0.0019321872 0.0019169490 0.0019147551 0.0019578067 0.0019879731
##    [41] 0.0019815871 0.0019717118 0.0019993536 0.0020215847 0.0019943458
##    [46] 0.0019665453 0.0019810172 0.0020115636 0.0020072130 0.0020424543
##    [51] 0.0020585356 0.0020341242 0.0020478891 0.0020029696 0.0020603056
##    [56] 0.0021407811 0.0021258817 0.0020835852 0.0021067895 0.0021014190
##    [61] 0.0022001160 0.0021986040 0.0022274363 0.0022287234 0.0021978944
##    [66] 0.0022058512 0.0021315738 0.0021919993 0.0021984705 0.0022896648
##    [71] 0.0023099655 0.0022799848 0.0023059852 0.0022665771 0.0022141847
##    [76] 0.0022264548 0.0022080997 0.0022082626 0.0022114721 0.0021871226
##    [81] 0.0021637650 0.0021583190 0.0022071444 0.0021443673 0.0021688951
##    [86] 0.0021827558 0.0022270477 0.0022144798 0.0022300325 0.0022413256
##    [91] 0.0022187721 0.0022695229 0.0023188273 0.0023488861 0.0024175845
##    [96] 0.0024420850 0.0023866664 0.0023620598 0.0023097963 0.0022898247
##   [101] 0.0022637490 0.0022656407 0.0022275534 0.0022342755 0.0022070973
##   [106] 0.0022812953 0.0023118079 0.0023508207 0.0023674576 0.0024405992
##   [111] 0.0024129898 0.0023930760 0.0024556415 0.0024272913 0.0024183747
##   [116] 0.0024014236 0.0023876827 0.0023757458 0.0023972377 0.0023896788
##   [121] 0.0023679559 0.0024262881 0.0024170603 0.0024093725 0.0024051419
##   [126] 0.0024363091 0.0024332170 0.0024316955 0.0024021467 0.0023882192
##   [131] 0.0023909435 0.0023656437 0.0023887017 0.0023235928 0.0023368080
##   [136] 0.0022716665 0.0022591097 0.0022370657 0.0022099768 0.0022077277
##   [141] 0.0021289655 0.0021773938 0.0021092966 0.0020906087 0.0020457903
##   [146] 0.0020159350 0.0020998827 0.0021007027 0.0020489450 0.0019838000
##   [151] 0.0020017188 0.0020010952 0.0019886196 0.0019521663 0.0018944150
##   [156] 0.0018532014 0.0018917315 0.0018679283 0.0018152513 0.0018867973
##   [161] 0.0019033297 0.0018942113 0.0019354103 0.0019702486 0.0019460683
##   [166] 0.0020333718 0.0020233120 0.0019670494 0.0019614879 0.0019697547
##   [171] 0.0020616475 0.0020660164 0.0020845599 0.0020815567 0.0020682022
##   [176] 0.0020669179 0.0020988513 0.0021839396 0.0022267402 0.0022775700
##   [181] 0.0022259972 0.0022673717 0.0022767641 0.0022153664 0.0022372318
##   [186] 0.0022307112 0.0022924448 0.0022602280 0.0022422880 0.0022037772
##   [191] 0.0021965447 0.0022133613 0.0021831266 0.0022177019 0.0021677727
##   [196] 0.0021249298 0.0021842308 0.0021425437 0.0021595647 0.0021440400
##   [201] 0.0021609609 0.0022310899 0.0022979968 0.0022841035 0.0021886264
##   [206] 0.0022933312 0.0023217991 0.0023450545 0.0023446004 0.0023666275
##   [211] 0.0023596772 0.0023779162 0.0023607968 0.0023023805 0.0023446266
##   [216] 0.0024103211 0.0023970454 0.0023431752 0.0023708845 0.0023690791
##   [221] 0.0022951485 0.0022953576 0.0022688409 0.0022546152 0.0022064162
##   [226] 0.0022820911 0.0022682380 0.0022012224 0.0022095306 0.0022206037
##   [231] 0.0021798170 0.0020622167 0.0020366608 0.0020596315 0.0020573461
##   [236] 0.0020535191 0.0020761898 0.0020287200 0.0020728019 0.0020727002
##   [241] 0.0021014106 0.0021436781 0.0021529571 0.0021171510 0.0021648723
##   [246] 0.0020834282 0.0020615908 0.0020514408 0.0020448984 0.0020860610
##   [251] 0.0020916846 0.0021083096 0.0021055949 0.0020956650 0.0021240481
##   [256] 0.0021711536 0.0020733272 0.0020965844 0.0021119085 0.0020947653
##   [261] 0.0021335686 0.0021178065 0.0021063596 0.0021414331 0.0022125165
##   [266] 0.0022238828 0.0022064255 0.0021574130 0.0021439484 0.0021057364
##   [271] 0.0020953502 0.0021114683 0.0020770877 0.0021853896 0.0021919614
##   [276] 0.0022391279 0.0021444619 0.0021750378 0.0021211906 0.0021589461
##   [281] 0.0021754554 0.0021587910 0.0022136704 0.0021847031 0.0021608814
##   [286] 0.0021200278 0.0020930096 0.0021315559 0.0021494204 0.0021909518
##   [291] 0.0021749473 0.0021906154 0.0022008506 0.0021421839 0.0022157201
##   [296] 0.0022214376 0.0022535817 0.0022939789 0.0022919561 0.0022791446
##   [301] 0.0023171534 0.0022728996 0.0023569054 0.0023405792 0.0024120361
##   [306] 0.0024783433 0.0024821247 0.0025073351 0.0024622396 0.0024765723
##   [311] 0.0025229005 0.0025274346 0.0025073776 0.0024785085 0.0024770484
##   [316] 0.0025245175 0.0025031508 0.0024979159 0.0024411073 0.0024628951
##   [321] 0.0025208266 0.0025879882 0.0026249901 0.0025408935 0.0025625915
##   [326] 0.0025832207 0.0025674522 0.0025752386 0.0025366601 0.0025671846
##   [331] 0.0025526455 0.0024830411 0.0024669809 0.0025274771 0.0025127388
##   [336] 0.0025455024 0.0025881228 0.0025884467 0.0025727102 0.0025490845
##   [341] 0.0025824045 0.0025348687 0.0025459859 0.0025331871 0.0024333937
##   [346] 0.0023724151 0.0024121723 0.0024039889 0.0024390873 0.0025224324
##   [351] 0.0025885667 0.0026193294 0.0026367286 0.0026280829 0.0027004674
##   [356] 0.0027281759 0.0026741611 0.0026671518 0.0025801283 0.0025714720
##   [361] 0.0024565016 0.0025146189 0.0024866034 0.0024677823 0.0024604658
##   [366] 0.0024875434 0.0025177133 0.0025431409 0.0025177572 0.0024576849
##   [371] 0.0024407823 0.0024530704 0.0024172519 0.0024143798 0.0023640139
##   [376] 0.0023637769 0.0023694417 0.0023632858 0.0023563638 0.0024328230
##   [381] 0.0024663459 0.0025155760 0.0024748724 0.0024822377 0.0025335667
##   [386] 0.0025311719 0.0024373490 0.0024525600 0.0023699295 0.0023352546
##   [391] 0.0023923053 0.0024191389 0.0024670072 0.0024806277 0.0024758966
##   [396] 0.0024354844 0.0025056821 0.0025078010 0.0024763216 0.0025147083
##   [401] 0.0025627793 0.0026486741 0.0026213539 0.0026037700 0.0025851070
##   [406] 0.0025683364 0.0025520276 0.0025389393 0.0026038401 0.0025725189
##   [411] 0.0025552318 0.0025846644 0.0026357267 0.0026008293 0.0025780435
##   [416] 0.0026017832 0.0026481382 0.0026368157 0.0025722596 0.0026497953
##   [421] 0.0027158746 0.0026832459 0.0026803838 0.0026003434 0.0026262856
##   [426] 0.0027002182 0.0026254057 0.0025902466 0.0025615406 0.0025312239
##   [431] 0.0024416099 0.0024636852 0.0023970007 0.0023960394 0.0024219050
##   [436] 0.0024134060 0.0024524525 0.0024514482 0.0024232816 0.0024516359
##   [441] 0.0024327895 0.0025109030 0.0025102167 0.0025483180 0.0025576241
##   [446] 0.0024248657 0.0023658535 0.0023477681 0.0023580449 0.0022586609
##   [451] 0.0022993635 0.0022739318 0.0022424243 0.0021778956 0.0021184363
##   [456] 0.0021208442 0.0021417506 0.0020568654 0.0020168725 0.0020383325
##   [461] 0.0020203866 0.0021075137 0.0021584962 0.0021831391 0.0021834569
##   [466] 0.0021951277 0.0021661047 0.0021921357 0.0022539406 0.0022997558
##   [471] 0.0022655292 0.0021980482 0.0021936226 0.0022120298 0.0022686677
##   [476] 0.0022136100 0.0022289065 0.0022387784 0.0022891097 0.0022880480
##   [481] 0.0022730842 0.0022251304 0.0022037261 0.0021888420 0.0022872412
##   [486] 0.0023919749 0.0023848913 0.0023401599 0.0022566733 0.0022784535
##   [491] 0.0022327921 0.0023293538 0.0022918426 0.0022966654 0.0024610933
##   [496] 0.0024127926 0.0024262950 0.0023784380 0.0023935749 0.0023560680
##   [501] 0.0023595068 0.0023468951 0.0022966166 0.0022972137 0.0023395368
##   [506] 0.0024083233 0.0023492472 0.0023386837 0.0023886395 0.0023408561
##   [511] 0.0022340937 0.0021952845 0.0021555267 0.0021575915 0.0021411615
##   [516] 0.0021507561 0.0021335909 0.0021490091 0.0021341520 0.0021831405
##   [521] 0.0021529121 0.0021649651 0.0021288404 0.0021374476 0.0021356124
##   [526] 0.0020674535 0.0020617712 0.0021095432 0.0021374153 0.0021433884
##   [531] 0.0020949816 0.0021426740 0.0021460310 0.0021276862 0.0021952736
##   [536] 0.0021636367 0.0021762419 0.0022295224 0.0022548404 0.0022420924
##   [541] 0.0022247350 0.0022396799 0.0022613243 0.0022622243 0.0023181038
##   [546] 0.0023154224 0.0022858551 0.0023087347 0.0022163047 0.0022327591
##   [551] 0.0022536764 0.0022443699 0.0021979608 0.0021817422 0.0022463008
##   [556] 0.0022153854 0.0021195673 0.0021528638 0.0021324693 0.0021117809
##   [561] 0.0020628036 0.0020620109 0.0020903760 0.0020668080 0.0020425997
##   [566] 0.0020867754 0.0020769044 0.0020705795 0.0020455882 0.0020818720
##   [571] 0.0020420650 0.0020762560 0.0021089532 0.0020901267 0.0021246694
##   [576] 0.0021651739 0.0021890240 0.0022736549 0.0021918408 0.0021440249
##   [581] 0.0020881704 0.0020950638 0.0021597767 0.0022293478 0.0022498839
##   [586] 0.0022869811 0.0022809813 0.0023009353 0.0023170306 0.0022848901
##   [591] 0.0022726368 0.0022670784 0.0023262228 0.0022823538 0.0021940908
##   [596] 0.0022261208 0.0021923420 0.0021744517 0.0022120051 0.0021805230
##   [601] 0.0021665881 0.0022289380 0.0022511481 0.0022740536 0.0022684165
##   [606] 0.0022209496 0.0021591812 0.0021501337 0.0022330467 0.0022424303
##   [611] 0.0022494305 0.0022635086 0.0022474626 0.0021893719 0.0023015084
##   [616] 0.0022837020 0.0022712295 0.0021965032 0.0021863614 0.0021762721
##   [621] 0.0021658683 0.0020931120 0.0021660061 0.0022392489 0.0022682908
##   [626] 0.0022223269 0.0022523031 0.0022420980 0.0022288572 0.0022861752
##   [631] 0.0022347161 0.0022135329 0.0021833595 0.0021842911 0.0021199339
##   [636] 0.0020915237 0.0021206758 0.0021397647 0.0021002516 0.0021230766
##   [641] 0.0020252575 0.0020118399 0.0020403364 0.0020142069 0.0020128742
##   [646] 0.0019502297 0.0019836168 0.0019114386 0.0018990329 0.0018892987
##   [651] 0.0018917552 0.0018602480 0.0019309421 0.0018757851 0.0018856623
##   [656] 0.0017741924 0.0017743892 0.0017936198 0.0017531345 0.0017795697
##   [661] 0.0017921011 0.0018290875 0.0017973183 0.0017610516 0.0016956222
##   [666] 0.0016839152 0.0016353651 0.0016604003 0.0016630960 0.0017436863
##   [671] 0.0017010299 0.0017447884 0.0017253513 0.0016719816 0.0016930324
##   [676] 0.0016409471 0.0016030817 0.0015770276 0.0015846357 0.0015493174
##   [681] 0.0015876527 0.0015452474 0.0015529931 0.0015581523 0.0015207443
##   [686] 0.0015058661 0.0014831533 0.0015166564 0.0015715905 0.0015349245
##   [691] 0.0015678825 0.0015653092 0.0014963400 0.0014702417 0.0014863013
##   [696] 0.0014914377 0.0014076843 0.0014275296 0.0014500513 0.0014397084
##   [701] 0.0014156611 0.0014834497 0.0014804313 0.0014800453 0.0014414519
##   [706] 0.0013957998 0.0013447597 0.0013308205 0.0013763891 0.0014359698
##   [711] 0.0014901168 0.0015355221 0.0015272795 0.0014846913 0.0014734435
##   [716] 0.0013911195 0.0013806349 0.0014370714 0.0014416530 0.0014794910
##   [721] 0.0014965706 0.0014696788 0.0015304787 0.0015278285 0.0014938652
##   [726] 0.0014964216 0.0014440859 0.0014739171 0.0014913945 0.0014791929
##   [731] 0.0014624248 0.0014949282 0.0014582801 0.0014246801 0.0014392714
##   [736] 0.0014239537 0.0014557238 0.0014489987 0.0014903461 0.0015076921
##   [741] 0.0014303021 0.0013850936 0.0014287030 0.0014524564 0.0014194826
##   [746] 0.0013740618 0.0014090688 0.0013817204 0.0014430253 0.0015043459
##   [751] 0.0014540964 0.0014252454 0.0013829617 0.0014056121 0.0013622126
##   [756] 0.0012948168 0.0013619484 0.0013958965 0.0014237326 0.0014012733
##   [761] 0.0014009888 0.0014221325 0.0013788521 0.0013747702 0.0013807788
##   [766] 0.0014383334 0.0014604730 0.0015049928 0.0015099951 0.0014714695
##   [771] 0.0014598565 0.0014031001 0.0014348089 0.0014836714 0.0014815981
##   [776] 0.0014478853 0.0014854785 0.0014904117 0.0014771261 0.0015162988
##   [781] 0.0014899284 0.0015301297 0.0015007820 0.0015145343 0.0015459176
##   [786] 0.0014992553 0.0015132362 0.0015094404 0.0015331981 0.0015057043
##   [791] 0.0015027732 0.0015513412 0.0015573942 0.0015867130 0.0015789520
##   [796] 0.0015426284 0.0015423445 0.0014995647 0.0014104286 0.0014504392
##   [801] 0.0014134163 0.0013520099 0.0013854954 0.0013851927 0.0013651369
##   [806] 0.0013592751 0.0013451487 0.0013786139 0.0014032765 0.0013453602
##   [811] 0.0013572525 0.0013817361 0.0014044068 0.0013232953 0.0013156070
##   [816] 0.0013817275 0.0014087562 0.0013513308 0.0012963372 0.0013126034
##   [821] 0.0013069586 0.0013388771 0.0013487592 0.0013515581 0.0013577906
##   [826] 0.0013634510 0.0013212814 0.0014000035 0.0013526341 0.0013521641
##   [831] 0.0013341355 0.0013945368 0.0014289788 0.0014098937 0.0014169701
##   [836] 0.0014569234 0.0015347552 0.0015454906 0.0015090410 0.0014749890
##   [841] 0.0015450771 0.0014729467 0.0015801516 0.0015709700 0.0015549858
##   [846] 0.0015606569 0.0015939276 0.0016048549 0.0015355766 0.0015481212
##   [851] 0.0015641377 0.0015876681 0.0015511951 0.0014685683 0.0014574874
##   [856] 0.0014252561 0.0013993455 0.0013673190 0.0013540969 0.0013438140
##   [861] 0.0013705229 0.0014038794 0.0013771621 0.0013668915 0.0013791258
##   [866] 0.0014265952 0.0014247821 0.0013674555 0.0013753343 0.0013714316
##   [871] 0.0014315318 0.0014433744 0.0014221938 0.0014073566 0.0013903611
##   [876] 0.0013967420 0.0014028087 0.0014340587 0.0014451126 0.0014326664
##   [881] 0.0014007856 0.0014224307 0.0014204014 0.0014267274 0.0014646527
##   [886] 0.0015256301 0.0014924609 0.0015500979 0.0015197529 0.0015291829
##   [891] 0.0015370909 0.0015274716 0.0015767761 0.0015535423 0.0015770370
##   [896] 0.0015766677 0.0015438249 0.0015869459 0.0015133908 0.0014951632
##   [901] 0.0014420966 0.0014488546 0.0014580354 0.0014198644 0.0014421809
##   [906] 0.0014070876 0.0014296050 0.0014378269 0.0014624698 0.0014303984
##   [911] 0.0014337521 0.0014180762 0.0013685706 0.0013737911 0.0014339656
##   [916] 0.0014119945 0.0014053151 0.0014288449 0.0014301762 0.0014972141
##   [921] 0.0015230329 0.0016053108 0.0016179230 0.0015775204 0.0015926221
##   [926] 0.0015598867 0.0015245472 0.0015180174 0.0015509150 0.0015631676
##   [931] 0.0015921910 0.0016250848 0.0016190091 0.0015337942 0.0015619468
##   [936] 0.0016395899 0.0016418024 0.0015932530 0.0015802645 0.0015472877
##   [941] 0.0015459216 0.0015699166 0.0016008649 0.0016093840 0.0015761698
##   [946] 0.0016052658 0.0016539372 0.0017365602 0.0017184242 0.0017360466
##   [951] 0.0017806093 0.0017763585 0.0017961513 0.0018043290 0.0017993733
##   [956] 0.0018058267 0.0018424641 0.0018581518 0.0018404871 0.0017563327
##   [961] 0.0017269542 0.0017263222 0.0016346451 0.0017153382 0.0016609899
##   [966] 0.0016191679 0.0016719990 0.0015931646 0.0016197246 0.0016074885
##   [971] 0.0016239511 0.0016557684 0.0016212676 0.0015960870 0.0014907101
##   [976] 0.0014576184 0.0014708113 0.0014883798 0.0015594474 0.0015618340
##   [981] 0.0015783728 0.0015811324 0.0015639636 0.0015906663 0.0016073539
##   [986] 0.0016120932 0.0015830733 0.0015817470 0.0016097414 0.0016341585
##   [991] 0.0016168965 0.0015930564 0.0016114946 0.0016493834 0.0016538722
##   [996] 0.0016426364 0.0016110443 0.0015961494 0.0015436918 0.0015193298
##  [1001] 0.0019153177 0.0019125416 0.0018812253 0.0019570414 0.0019726353
##  [1006] 0.0019501088 0.0019655246 0.0020223408 0.0020641743 0.0020385804
##  [1011] 0.0021198019 0.0021417872 0.0021278034 0.0020331990 0.0020852363
##  [1016] 0.0020849459 0.0020904480 0.0021515177 0.0022042585 0.0022130922
##  [1021] 0.0022632570 0.0022952377 0.0022909477 0.0021818209 0.0022102026
##  [1026] 0.0022206197 0.0022234077 0.0021415891 0.0021314927 0.0021469710
##  [1031] 0.0022210201 0.0022200934 0.0022480612 0.0022478421 0.0021694018
##  [1036] 0.0021440065 0.0021268715 0.0021149387 0.0021527072 0.0021913356
##  [1041] 0.0021781950 0.0021626062 0.0022081974 0.0022462806 0.0021912978
##  [1046] 0.0021464288 0.0021570788 0.0021945319 0.0021838100 0.0022271678
##  [1051] 0.0022472050 0.0022136651 0.0022418885 0.0021590586 0.0022236819
##  [1056] 0.0023287889 0.0022968803 0.0022496968 0.0022609356 0.0022582878
##  [1061] 0.0024084497 0.0023919705 0.0024164049 0.0024262823 0.0024021920
##  [1066] 0.0024317330 0.0023402108 0.0024363146 0.0024530689 0.0025668393
##  [1071] 0.0025834658 0.0025541582 0.0025883090 0.0025357469 0.0024512086
##  [1076] 0.0024768536 0.0024704332 0.0024899483 0.0024881740 0.0024578797
##  [1081] 0.0024201001 0.0024146273 0.0024724553 0.0023903579 0.0024212457
##  [1086] 0.0024453514 0.0024882510 0.0024765526 0.0024892264 0.0025017721
##  [1091] 0.0024543583 0.0025110871 0.0025769822 0.0026150096 0.0027029236
##  [1096] 0.0027558060 0.0026680640 0.0026257363 0.0025678244 0.0025384990
##  [1101] 0.0025029114 0.0025172613 0.0024532152 0.0024643354 0.0024279025
##  [1106] 0.0025175655 0.0025666565 0.0026273767 0.0026488514 0.0027348915
##  [1111] 0.0026993175 0.0026667217 0.0027419207 0.0027004246 0.0027040356
##  [1116] 0.0026754805 0.0026664934 0.0026563348 0.0026845065 0.0026923184
##  [1121] 0.0026659414 0.0027440483 0.0027399385 0.0027360356 0.0027176116
##  [1126] 0.0027700336 0.0027683652 0.0027922111 0.0027619714 0.0027495893
##  [1131] 0.0027369660 0.0027150349 0.0027531310 0.0026853950 0.0027001981
##  [1136] 0.0026058781 0.0026023537 0.0025787991 0.0025303053 0.0025345022
##  [1141] 0.0024273448 0.0024848192 0.0024117321 0.0023753163 0.0023099077
##  [1146] 0.0022768348 0.0023932164 0.0023982677 0.0023238546 0.0022464656
##  [1151] 0.0022886825 0.0022893261 0.0022653972 0.0022306651 0.0021590599
##  [1156] 0.0021186427 0.0021668990 0.0021376651 0.0020702432 0.0021685477
##  [1161] 0.0021969794 0.0021763435 0.0022280596 0.0022745431 0.0022763022
##  [1166] 0.0024008073 0.0023802101 0.0023123885 0.0023174570 0.0023324371
##  [1171] 0.0024535543 0.0024641420 0.0024827423 0.0024635355 0.0024364826
##  [1176] 0.0024221628 0.0024661675 0.0025657197 0.0026299544 0.0026957058
##  [1181] 0.0026081145 0.0026606190 0.0026755899 0.0026037477 0.0026235668
##  [1186] 0.0025937211 0.0026676102 0.0026294982 0.0025854084 0.0025445884
##  [1191] 0.0025237143 0.0025493626 0.0025214994 0.0025527768 0.0025079213
##  [1196] 0.0024566016 0.0025317633 0.0024833178 0.0025216820 0.0025084686
##  [1201] 0.0025457870 0.0026151543 0.0027187224 0.0027224622 0.0025944032
##  [1206] 0.0027178180 0.0027557575 0.0027871922 0.0027792321 0.0027927693
##  [1211] 0.0028001464 0.0028098597 0.0027862388 0.0027158880 0.0027563265
##  [1216] 0.0028295298 0.0027996703 0.0027346805 0.0027616430 0.0027562934
##  [1221] 0.0026682129 0.0026503502 0.0026151056 0.0025976310 0.0025310549
##  [1226] 0.0026228482 0.0026125853 0.0025281897 0.0025116898 0.0025264537
##  [1231] 0.0024777593 0.0023204858 0.0022836788 0.0023185517 0.0023268537
##  [1236] 0.0023131388 0.0023407727 0.0022751830 0.0023344082 0.0023514002
##  [1241] 0.0023872232 0.0024161144 0.0024430871 0.0024077444 0.0024821993
##  [1246] 0.0023823386 0.0023402007 0.0023288141 0.0023230823 0.0023888294
##  [1251] 0.0023952884 0.0024057346 0.0023788175 0.0023524548 0.0023976113
##  [1256] 0.0024626823 0.0023318866 0.0023615861 0.0023781946 0.0023699895
##  [1261] 0.0024237612 0.0024132800 0.0024082802 0.0024602794 0.0025547698
##  [1266] 0.0025692074 0.0025405159 0.0024835161 0.0024751910 0.0024099140
##  [1271] 0.0023863935 0.0023996663 0.0023382040 0.0024860613 0.0024730487
##  [1276] 0.0025200039 0.0023966323 0.0024289002 0.0023597910 0.0024089204
##  [1281] 0.0024463576 0.0024173968 0.0024645342 0.0024057062 0.0023736302
##  [1286] 0.0023228056 0.0022864599 0.0023233338 0.0023303020 0.0023786632
##  [1291] 0.0023464162 0.0023665630 0.0023741917 0.0022869485 0.0023410060
##  [1296] 0.0023488084 0.0023967355 0.0024429950 0.0024447992 0.0024216846
##  [1301] 0.0024660083 0.0023957226 0.0025122718 0.0025047020 0.0025777801
##  [1306] 0.0026587292 0.0026734671 0.0027167376 0.0026660089 0.0026776140
##  [1311] 0.0027414739 0.0027326108 0.0027047566 0.0026663314 0.0026646334
##  [1316] 0.0027274517 0.0027024128 0.0026832522 0.0026263288 0.0026419140
##  [1321] 0.0027184734 0.0027946746 0.0028416023 0.0027508214 0.0027742388
##  [1326] 0.0028069789 0.0027749947 0.0027937013 0.0027646295 0.0028120800
##  [1331] 0.0027999750 0.0027214375 0.0027037667 0.0027861050 0.0027719690
##  [1336] 0.0028095430 0.0028753710 0.0028676246 0.0028479044 0.0028186635
##  [1341] 0.0028821141 0.0028256885 0.0028455057 0.0028204152 0.0026801550
##  [1346] 0.0025901334 0.0026521143 0.0026502664 0.0026953830 0.0028113730
##  [1351] 0.0029112783 0.0029413789 0.0029623931 0.0029450252 0.0030482183
##  [1356] 0.0030863696 0.0030312815 0.0030312342 0.0029198989 0.0029175982
##  [1361] 0.0027836574 0.0028703316 0.0028500794 0.0028353700 0.0028083926
##  [1366] 0.0028492371 0.0028986807 0.0029451371 0.0029148140 0.0028433798
##  [1371] 0.0028194776 0.0028378310 0.0027837376 0.0027726206 0.0026981276
##  [1376] 0.0026952623 0.0026907537 0.0026837574 0.0026652395 0.0027632178
##  [1381] 0.0028124832 0.0028870275 0.0028432413 0.0028602427 0.0029186832
##  [1386] 0.0029161888 0.0028048021 0.0028332175 0.0027134245 0.0026720945
##  [1391] 0.0027569784 0.0027951999 0.0028544345 0.0028629008 0.0028578038
##  [1396] 0.0028057856 0.0029047628 0.0028991516 0.0028585383 0.0028990849
##  [1401] 0.0029432706 0.0030489083 0.0030176491 0.0030035946 0.0029861798
##  [1406] 0.0029746226 0.0029503128 0.0029490559 0.0030483506 0.0030159461
##  [1411] 0.0029830972 0.0030186883 0.0030876615 0.0030370652 0.0030121144
##  [1416] 0.0030430012 0.0031002178 0.0030748049 0.0029805895 0.0030643086
##  [1421] 0.0031366302 0.0030924319 0.0030691890 0.0029476111 0.0029660428
##  [1426] 0.0030607289 0.0029781619 0.0029320862 0.0029019295 0.0028609831
##  [1431] 0.0027541419 0.0027721840 0.0026650859 0.0026536199 0.0026782851
##  [1436] 0.0026671543 0.0026930033 0.0026925601 0.0026423378 0.0026610496
##  [1441] 0.0026355765 0.0027686629 0.0027712961 0.0028141894 0.0028397515
##  [1446] 0.0026866761 0.0026026388 0.0026094615 0.0026199280 0.0024971433
##  [1451] 0.0025555605 0.0025226972 0.0024822050 0.0023977405 0.0023208376
##  [1456] 0.0023295239 0.0023533476 0.0022305699 0.0021724312 0.0021838676
##  [1461] 0.0021638603 0.0022686760 0.0023280969 0.0023672867 0.0023763577
##  [1466] 0.0023711944 0.0023431558 0.0023660169 0.0024471653 0.0025168217
##  [1471] 0.0024898136 0.0024170637 0.0024320026 0.0024646173 0.0025260890
##  [1476] 0.0024624338 0.0024634857 0.0024777858 0.0025513497 0.0025529730
##  [1481] 0.0025402095 0.0024841182 0.0024563204 0.0024365438 0.0025531910
##  [1486] 0.0026796978 0.0026625471 0.0026046926 0.0025076325 0.0025304255
##  [1491] 0.0024682303 0.0025946035 0.0025512646 0.0025457701 0.0027388593
##  [1496] 0.0026768314 0.0026979613 0.0026200887 0.0026523539 0.0026146924
##  [1501] 0.0026099921 0.0026038516 0.0025308419 0.0025415358 0.0025892652
##  [1506] 0.0026779020 0.0025939317 0.0025664330 0.0026305193 0.0025636609
##  [1511] 0.0024477652 0.0024013204 0.0023636356 0.0023640644 0.0023433038
##  [1516] 0.0023579549 0.0023380977 0.0023475958 0.0023303125 0.0023728238
##  [1521] 0.0023546233 0.0023660957 0.0022976808 0.0023206806 0.0023267702
##  [1526] 0.0022441942 0.0022359487 0.0022992910 0.0023396006 0.0023267333
##  [1531] 0.0022638272 0.0023128372 0.0023486486 0.0023133356 0.0023852029
##  [1536] 0.0023501500 0.0023685158 0.0024182951 0.0024498912 0.0024226198
##  [1541] 0.0023943034 0.0024149043 0.0024454081 0.0024616923 0.0025550743
##  [1546] 0.0025518945 0.0025116254 0.0025458563 0.0024221424 0.0024379207
##  [1551] 0.0024680033 0.0024556608 0.0023830196 0.0023590536 0.0024323085
##  [1556] 0.0023879060 0.0022476863 0.0022888834 0.0022735625 0.0022521538
##  [1561] 0.0021872008 0.0021890468 0.0022269711 0.0021897894 0.0021672028
##  [1566] 0.0022439779 0.0022098023 0.0021970491 0.0021538828 0.0022034544
##  [1571] 0.0021516749 0.0022183031 0.0022560781 0.0022270748 0.0022807007
##  [1576] 0.0023377979 0.0023536834 0.0024558537 0.0023548791 0.0022901743
##  [1581] 0.0022334995 0.0022297054 0.0023323749 0.0024313040 0.0024500800
##  [1586] 0.0024846941 0.0024955541 0.0025143500 0.0025310155 0.0024907350
##  [1591] 0.0024818774 0.0024839187 0.0025570445 0.0024887256 0.0023927328
##  [1596] 0.0024444577 0.0023842068 0.0023742958 0.0024496717 0.0024095200
##  [1601] 0.0023881694 0.0024670947 0.0025043981 0.0025297482 0.0025244529
##  [1606] 0.0024545965 0.0023730150 0.0023541610 0.0024558828 0.0024634158
##  [1611] 0.0024641888 0.0025061967 0.0024803814 0.0024209354 0.0025590854
##  [1616] 0.0025226529 0.0025115850 0.0024254167 0.0024134283 0.0023838401
##  [1621] 0.0023695299 0.0022754093 0.0023738523 0.0024722915 0.0025105057
##  [1626] 0.0024690206 0.0024939589 0.0024845437 0.0024887843 0.0025614928
##  [1631] 0.0024988561 0.0024907254 0.0024309730 0.0024438289 0.0023761677
##  [1636] 0.0023352727 0.0023615427 0.0023878333 0.0023351642 0.0023756952
##  [1641] 0.0022410491 0.0022206133 0.0022558974 0.0022146744 0.0022024468
##  [1646] 0.0021300207 0.0021676485 0.0020856027 0.0020462181 0.0020288803
##  [1651] 0.0020323796 0.0019970735 0.0020900559 0.0020308786 0.0020428591
##  [1656] 0.0018933159 0.0018989392 0.0019322230 0.0018970566 0.0019251684
##  [1661] 0.0019377912 0.0019875829 0.0019524268 0.0019029509 0.0018327659
##  [1666] 0.0018329111 0.0017849647 0.0018211211 0.0018164002 0.0019131676
##  [1671] 0.0018638861 0.0019056698 0.0018924383 0.0018284918 0.0018632905
##  [1676] 0.0017941587 0.0017630628 0.0017169563 0.0017143330 0.0016582178
##  [1681] 0.0017089058 0.0016416875 0.0016466703 0.0016433476 0.0015927329
##  [1686] 0.0015702428 0.0015626166 0.0016119025 0.0016728593 0.0016240449
##  [1691] 0.0016796022 0.0016861700 0.0016020245 0.0015458881 0.0015687050
##  [1696] 0.0015820817 0.0014941655 0.0015397365 0.0015565969 0.0015518033
##  [1701] 0.0015035650 0.0015956097 0.0016155863 0.0015924800 0.0015531496
##  [1706] 0.0014985197 0.0014304747 0.0014133441 0.0014887892 0.0015823036
##  [1711] 0.0016387948 0.0017052267 0.0016859863 0.0016128701 0.0016061531
##  [1716] 0.0015055926 0.0015121740 0.0015666999 0.0015804053 0.0016337077
##  [1721] 0.0016698875 0.0016271764 0.0016900225 0.0016842095 0.0016439836
##  [1726] 0.0016643447 0.0015806985 0.0016125915 0.0016358072 0.0016074823
##  [1731] 0.0015721708 0.0016193625 0.0015840626 0.0015301591 0.0015420900
##  [1736] 0.0015271722 0.0015361088 0.0015536597 0.0016077473 0.0016185909
##  [1741] 0.0015020600 0.0014326273 0.0014882174 0.0015110503 0.0014620379
##  [1746] 0.0014027249 0.0014577697 0.0014091736 0.0014931526 0.0015763160
##  [1751] 0.0015080057 0.0014700975 0.0014352192 0.0014693270 0.0014059803
##  [1756] 0.0013044368 0.0014059886 0.0014572791 0.0015190161 0.0014792594
##  [1761] 0.0014788032 0.0014982923 0.0014473439 0.0014397415 0.0014374690
##  [1766] 0.0015153026 0.0015354194 0.0015867274 0.0016097525 0.0015562166
##  [1771] 0.0015667319 0.0014952657 0.0015424659 0.0015972936 0.0015915267
##  [1776] 0.0015535914 0.0016043156 0.0016088279 0.0016018787 0.0016599590
##  [1781] 0.0016382609 0.0017063451 0.0016733911 0.0016914887 0.0017482877
##  [1786] 0.0016826845 0.0017076680 0.0016995328 0.0017290269 0.0016969468
##  [1791] 0.0017127638 0.0017921178 0.0018254174 0.0018498932 0.0018433869
##  [1796] 0.0017766603 0.0017908794 0.0017202003 0.0015927641 0.0016527530
##  [1801] 0.0015970571 0.0015105701 0.0015559984 0.0015403262 0.0015167976
##  [1806] 0.0014884770 0.0014820335 0.0015126274 0.0015502830 0.0014706086
##  [1811] 0.0014869399 0.0015204177 0.0015510206 0.0014350944 0.0014246214
##  [1816] 0.0014976377 0.0015318959 0.0014547080 0.0013828366 0.0014085849
##  [1821] 0.0013989926 0.0014308084 0.0014354174 0.0014288179 0.0014190881
##  [1826] 0.0014227988 0.0013657003 0.0014529788 0.0013914289 0.0014012525
##  [1831] 0.0013867665 0.0014728472 0.0015327412 0.0014930823 0.0015084566
##  [1836] 0.0015491580 0.0016259696 0.0016441167 0.0015927348 0.0015542369
##  [1841] 0.0016151713 0.0015323386 0.0016597024 0.0016386175 0.0016080078
##  [1846] 0.0016045656 0.0016413243 0.0016490588 0.0015683580 0.0015798910
##  [1851] 0.0016046628 0.0016051397 0.0015498765 0.0014331164 0.0014422271
##  [1856] 0.0014140873 0.0013904230 0.0013545551 0.0013431351 0.0013228084
##  [1861] 0.0013603752 0.0014072543 0.0013596354 0.0013683256 0.0013851283
##  [1866] 0.0014382563 0.0014245275 0.0013514865 0.0013663720 0.0013631368
##  [1871] 0.0014464415 0.0014663743 0.0014528173 0.0014354047 0.0014106375
##  [1876] 0.0014248079 0.0014443593 0.0015022381 0.0015206997 0.0014864679
##  [1881] 0.0014504862 0.0014854410 0.0014537528 0.0014824358 0.0015305376
##  [1886] 0.0016031657 0.0015648633 0.0016276131 0.0015796256 0.0015913274
##  [1891] 0.0016138084 0.0015978671 0.0016653667 0.0016443537 0.0016733106
##  [1896] 0.0016667563 0.0016248178 0.0016720144 0.0016024123 0.0015709197
##  [1901] 0.0015074834 0.0015133139 0.0015133307 0.0014618901 0.0014901478
##  [1906] 0.0014715329 0.0015136081 0.0015165855 0.0015634324 0.0015226065
##  [1911] 0.0015238273 0.0015069247 0.0014507376 0.0014725830 0.0015487256
##  [1916] 0.0015394580 0.0015401178 0.0015720510 0.0015835904 0.0016728421
##  [1921] 0.0016977328 0.0018045572 0.0018195009 0.0017506647 0.0017714006
##  [1926] 0.0017258868 0.0017000911 0.0016912361 0.0017417960 0.0017701353
##  [1931] 0.0017976676 0.0018405623 0.0018230330 0.0017214473 0.0017824048
##  [1936] 0.0018815689 0.0018748655 0.0017859746 0.0017600118 0.0017062333
##  [1941] 0.0017107265 0.0017383107 0.0017833653 0.0017900799 0.0017589923
##  [1946] 0.0018006819 0.0018786359 0.0019850008 0.0019569482 0.0019790929
##  [1951] 0.0020430337 0.0020399484 0.0020820586 0.0020948072 0.0021062938
##  [1956] 0.0021147278 0.0021441767 0.0021571852 0.0021194410 0.0019972803
##  [1961] 0.0019626905 0.0019581410 0.0018580501 0.0019533973 0.0018903608
##  [1966] 0.0018265526 0.0019139917 0.0018000898 0.0018396503 0.0018092494
##  [1971] 0.0018307824 0.0018784918 0.0018286631 0.0017965341 0.0016656515
##  [1976] 0.0016314671 0.0016241810 0.0016567680 0.0017436715 0.0017488995
##  [1981] 0.0017807285 0.0017983788 0.0017910593 0.0018398972 0.0018765461
##  [1986] 0.0018757948 0.0018404436 0.0018186065 0.0018485595 0.0018635507
##  [1991] 0.0018360317 0.0017964624 0.0018156254 0.0018688258 0.0018652141
##  [1996] 0.0018507046 0.0017991472 0.0017879295 0.0017094257 0.0016808421
##  [2001] 0.0020979347 0.0021265515 0.0020694925 0.0021422640 0.0021591672
##  [2006] 0.0021118498 0.0021353355 0.0021852183 0.0022354278 0.0022224874
##  [2011] 0.0023011550 0.0023315419 0.0022962560 0.0021896033 0.0022369829
##  [2016] 0.0022217882 0.0022274294 0.0022834096 0.0023232693 0.0023389120
##  [2021] 0.0024032220 0.0024517471 0.0024628912 0.0023580065 0.0023654169
##  [2026] 0.0023673794 0.0023639093 0.0023071344 0.0022938198 0.0023070875
##  [2031] 0.0023830501 0.0023828458 0.0024061221 0.0024041316 0.0023185749
##  [2036] 0.0022853622 0.0022454862 0.0022614018 0.0023211932 0.0023492259
##  [2041] 0.0023440993 0.0023282235 0.0023700903 0.0024172752 0.0023945492
##  [2046] 0.0023399196 0.0023610337 0.0023820283 0.0023676704 0.0024055180
##  [2051] 0.0024095044 0.0023944882 0.0024182029 0.0023639919 0.0024464674
##  [2056] 0.0025514882 0.0025534665 0.0025137880 0.0025371950 0.0025279082
##  [2061] 0.0026402251 0.0026416382 0.0026820318 0.0026878571 0.0026583283
##  [2066] 0.0026658997 0.0025833097 0.0026550964 0.0026650523 0.0027727995
##  [2071] 0.0027859305 0.0027521627 0.0027893197 0.0027399064 0.0026800889
##  [2076] 0.0026795597 0.0026568953 0.0026483417 0.0026485740 0.0026033723
##  [2081] 0.0025757939 0.0025957984 0.0026516345 0.0025822622 0.0026084103
##  [2086] 0.0026357389 0.0026928368 0.0026824126 0.0027045533 0.0027253660
##  [2091] 0.0027065486 0.0027688526 0.0028432584 0.0028840161 0.0029735806
##  [2096] 0.0030107161 0.0029236071 0.0029110679 0.0028447298 0.0028313857
##  [2101] 0.0028115588 0.0028143720 0.0027445458 0.0027389625 0.0027026596
##  [2106] 0.0028030887 0.0028213651 0.0028729409 0.0029027599 0.0030083363
##  [2111] 0.0029793157 0.0029376846 0.0030056523 0.0029643956 0.0029694036
##  [2116] 0.0029507110 0.0029225263 0.0029105613 0.0029443927 0.0029343184
##  [2121] 0.0029139210 0.0029909139 0.0029555093 0.0029403100 0.0029224905
##  [2126] 0.0029612146 0.0029618419 0.0029533232 0.0029309027 0.0028986559
##  [2131] 0.0029042761 0.0029024297 0.0029400875 0.0028619863 0.0028589326
##  [2136] 0.0027773392 0.0027761266 0.0027510145 0.0027255464 0.0027381644
##  [2141] 0.0026446633 0.0027243445 0.0026114471 0.0025848867 0.0025215723
##  [2146] 0.0024947642 0.0025890285 0.0025848914 0.0025281576 0.0024459889
##  [2151] 0.0024727966 0.0024592933 0.0024449316 0.0023875453 0.0023062699
##  [2156] 0.0022562756 0.0023062233 0.0022841604 0.0022213101 0.0023269933
##  [2161] 0.0023523466 0.0023442001 0.0023991318 0.0024191144 0.0023867012
##  [2166] 0.0025128443 0.0024908216 0.0024217176 0.0024006613 0.0024106776
##  [2171] 0.0025120902 0.0025178006 0.0025467840 0.0025232628 0.0025198015
##  [2176] 0.0025139130 0.0025642571 0.0026605511 0.0027104211 0.0027790286
##  [2181] 0.0027174426 0.0027609764 0.0027834232 0.0027133379 0.0027369763
##  [2186] 0.0027212318 0.0028163647 0.0027736670 0.0027624062 0.0027198918
##  [2191] 0.0026977256 0.0027091066 0.0026726358 0.0027257064 0.0026592484
##  [2196] 0.0025890636 0.0026553717 0.0025983913 0.0026192368 0.0025889010
##  [2201] 0.0026011964 0.0026820294 0.0027738274 0.0027830903 0.0026677287
##  [2206] 0.0027874052 0.0028252540 0.0028609468 0.0028805481 0.0029142941
##  [2211] 0.0029134770 0.0029424354 0.0029199550 0.0028484567 0.0028893412
##  [2216] 0.0029875723 0.0029854849 0.0029282485 0.0029634682 0.0029398512
##  [2221] 0.0028329649 0.0028369295 0.0028110213 0.0027805302 0.0027163788
##  [2226] 0.0028163334 0.0027991457 0.0027024736 0.0027140261 0.0027260332
##  [2231] 0.0026665316 0.0025222633 0.0025096492 0.0025391332 0.0025241310
##  [2236] 0.0025209360 0.0025432427 0.0024880867 0.0025533333 0.0025488628
##  [2241] 0.0025891987 0.0026346243 0.0026369615 0.0025954668 0.0026551049
##  [2246] 0.0025423549 0.0024999933 0.0024909680 0.0024873931 0.0025429739
##  [2251] 0.0025380801 0.0025667034 0.0025696631 0.0025595120 0.0026084338
##  [2256] 0.0026724657 0.0025519273 0.0025809323 0.0025936899 0.0025563026
##  [2261] 0.0025975939 0.0025901286 0.0025605977 0.0025971492 0.0026867239
##  [2266] 0.0026876871 0.0026601003 0.0025993960 0.0025880789 0.0025305734
##  [2271] 0.0025394067 0.0025614365 0.0025288335 0.0026865369 0.0026926468
##  [2276] 0.0027536825 0.0026534759 0.0026950373 0.0026224374 0.0026640766
##  [2281] 0.0026821129 0.0026538221 0.0027215425 0.0026811317 0.0026519741
##  [2286] 0.0026102442 0.0025733332 0.0026132407 0.0026133559 0.0026704550
##  [2291] 0.0026499928 0.0026909291 0.0027117060 0.0026244445 0.0027202853
##  [2296] 0.0027218731 0.0027559506 0.0028164460 0.0028137043 0.0027951673
##  [2301] 0.0028462768 0.0027882540 0.0029008418 0.0028915879 0.0029764637
##  [2306] 0.0030460816 0.0030490043 0.0030813308 0.0030275476 0.0030315145
##  [2311] 0.0030787319 0.0030703773 0.0030389341 0.0029998912 0.0029930163
##  [2316] 0.0030499644 0.0030351369 0.0030069380 0.0029469947 0.0029648055
##  [2321] 0.0030499680 0.0031431045 0.0031964832 0.0031030362 0.0031309130
##  [2326] 0.0031651797 0.0031438309 0.0031334601 0.0030776841 0.0031328219
##  [2331] 0.0031098008 0.0030216488 0.0029820022 0.0030528947 0.0030369579
##  [2336] 0.0030906877 0.0031436108 0.0031320659 0.0031212777 0.0030992815
##  [2341] 0.0031311685 0.0030623480 0.0030791687 0.0030679695 0.0029452530
##  [2346] 0.0028573045 0.0029067928 0.0028938556 0.0029215936 0.0030175287
##  [2351] 0.0030880970 0.0031090965 0.0031340184 0.0031242122 0.0032129433
##  [2356] 0.0032428403 0.0031804849 0.0031693854 0.0030676745 0.0030532017
##  [2361] 0.0029184555 0.0029938114 0.0029444521 0.0029242678 0.0029221247
##  [2366] 0.0029501829 0.0030183848 0.0030492316 0.0030152612 0.0029160008
##  [2371] 0.0029004009 0.0029239610 0.0028556426 0.0028482534 0.0027847989
##  [2376] 0.0027792465 0.0027909245 0.0027954560 0.0027788489 0.0028742676
##  [2381] 0.0029174159 0.0029926115 0.0029495168 0.0029538538 0.0030279158
##  [2386] 0.0030198230 0.0028892899 0.0028987599 0.0028081648 0.0027630870
##  [2391] 0.0028349244 0.0028594966 0.0029157936 0.0029461933 0.0029436511
##  [2396] 0.0028813389 0.0029600349 0.0029439516 0.0029144095 0.0029694484
##  [2401] 0.0030335393 0.0031308824 0.0030956349 0.0030584079 0.0030292542
##  [2406] 0.0030067457 0.0029674204 0.0029456178 0.0030197623 0.0029802091
##  [2411] 0.0029602180 0.0030045323 0.0030816443 0.0030402366 0.0030113846
##  [2416] 0.0030222263 0.0030679868 0.0030574916 0.0029669492 0.0030752311
##  [2421] 0.0031564947 0.0031108365 0.0031248064 0.0030123338 0.0030518946
##  [2426] 0.0031629500 0.0030821989 0.0030583395 0.0030265466 0.0029800567
##  [2431] 0.0028731647 0.0029134115 0.0028328374 0.0028315326 0.0028615730
##  [2436] 0.0028462813 0.0028978921 0.0028973765 0.0028504473 0.0028699250
##  [2441] 0.0028546592 0.0029477942 0.0029467115 0.0029809366 0.0029830027
##  [2446] 0.0028050838 0.0027337891 0.0027001415 0.0027057336 0.0025932426
##  [2451] 0.0026543233 0.0026079421 0.0025727926 0.0024773188 0.0023948894
##  [2456] 0.0024090294 0.0024411615 0.0023464657 0.0022934433 0.0023571544
##  [2461] 0.0023218146 0.0024298608 0.0024862837 0.0025198299 0.0025054292
##  [2466] 0.0025182517 0.0024914986 0.0025253177 0.0025943405 0.0026671618
##  [2471] 0.0026245737 0.0025472137 0.0025573884 0.0025592319 0.0026292248
##  [2476] 0.0025541694 0.0025722371 0.0026009547 0.0026638777 0.0026486639
##  [2481] 0.0026155315 0.0025601110 0.0025172866 0.0024828309 0.0025989813
##  [2486] 0.0027137978 0.0026942169 0.0026322306 0.0025470152 0.0025673539
##  [2491] 0.0025087167 0.0026395812 0.0025937168 0.0026101669 0.0028047662
##  [2496] 0.0027457458 0.0027766157 0.0027148200 0.0027472862 0.0027137588
##  [2501] 0.0027366898 0.0027277171 0.0026690361 0.0026592034 0.0027187819
##  [2506] 0.0027935585 0.0027327579 0.0027288888 0.0028028669 0.0027573632
##  [2511] 0.0026283060 0.0025802461 0.0025370558 0.0025396149 0.0025086779
##  [2516] 0.0025111325 0.0025066654 0.0025232534 0.0025159933 0.0025799677
##  [2521] 0.0025411952 0.0025632210 0.0025255194 0.0025352030 0.0025321799
##  [2526] 0.0024627756 0.0024648933 0.0025126661 0.0025540157 0.0025559968
##  [2531] 0.0024963490 0.0025638996 0.0025673057 0.0025422660 0.0026199849
##  [2536] 0.0025819309 0.0026064696 0.0026870063 0.0027444158 0.0027229089
##  [2541] 0.0027006540 0.0027091248 0.0027415510 0.0027361963 0.0028019735
##  [2546] 0.0028106014 0.0027732261 0.0027862754 0.0026791819 0.0026994056
##  [2551] 0.0027193001 0.0027098150 0.0026435041 0.0026174741 0.0027076541
##  [2556] 0.0026671034 0.0025482408 0.0025858704 0.0025709802 0.0025457120
##  [2561] 0.0024828054 0.0024786601 0.0025129812 0.0024935044 0.0024723004
##  [2566] 0.0025341544 0.0025342692 0.0025064669 0.0024738667 0.0025240839
##  [2571] 0.0024752559 0.0025227188 0.0025652159 0.0025431379 0.0025933325
##  [2576] 0.0026484574 0.0026859438 0.0028011661 0.0026916838 0.0026361832
##  [2581] 0.0025505783 0.0025580784 0.0026316481 0.0027246112 0.0027727483
##  [2586] 0.0028195071 0.0028007203 0.0028266652 0.0028513540 0.0028081310
##  [2591] 0.0027924691 0.0027949100 0.0028532932 0.0028000435 0.0027031903
##  [2596] 0.0027569016 0.0027088400 0.0026723893 0.0027088771 0.0026690222
##  [2601] 0.0026419909 0.0027132338 0.0027404718 0.0027691058 0.0027464857
##  [2606] 0.0027102549 0.0026301916 0.0026226633 0.0027450899 0.0027637845
##  [2611] 0.0027739941 0.0027962937 0.0027662625 0.0026858183 0.0028387479
##  [2616] 0.0028108676 0.0027873593 0.0027044194 0.0026939565 0.0026648044
##  [2621] 0.0026465892 0.0025450276 0.0026202267 0.0027118216 0.0027459071
##  [2626] 0.0026768826 0.0027147303 0.0026979329 0.0026864604 0.0027672005
##  [2631] 0.0027025025 0.0026812367 0.0026350870 0.0026426969 0.0025686645
##  [2636] 0.0025414339 0.0025672891 0.0025953482 0.0025509515 0.0025812039
##  [2641] 0.0024613278 0.0024275692 0.0024570777 0.0024309459 0.0024262061
##  [2646] 0.0023435152 0.0023749683 0.0022856321 0.0022614503 0.0022371575
##  [2651] 0.0022203948 0.0021802790 0.0022702191 0.0021869916 0.0021967467
##  [2656] 0.0020511557 0.0020374216 0.0020531496 0.0020007466 0.0020514206
##  [2661] 0.0020685559 0.0021046589 0.0020689364 0.0020455461 0.0019582268
##  [2666] 0.0019493349 0.0018875331 0.0019211042 0.0019365059 0.0020424484
##  [2671] 0.0019925440 0.0020512673 0.0020316826 0.0019670213 0.0019999133
##  [2676] 0.0019142166 0.0018590427 0.0018220987 0.0018146323 0.0017776694
##  [2681] 0.0018217179 0.0017767329 0.0017916406 0.0017931766 0.0017500573
##  [2686] 0.0017354768 0.0016909713 0.0017185506 0.0017974537 0.0017500818
##  [2691] 0.0017829214 0.0017984086 0.0017129143 0.0016693590 0.0016864367
##  [2696] 0.0016961615 0.0015967011 0.0016145054 0.0016291902 0.0016377671
##  [2701] 0.0016103290 0.0016793925 0.0016705117 0.0016720237 0.0016333582
##  [2706] 0.0015772506 0.0015025235 0.0014821588 0.0015466162 0.0016339742
##  [2711] 0.0017058132 0.0017771018 0.0017393860 0.0016678714 0.0016462590
##  [2716] 0.0015372655 0.0015282158 0.0015833654 0.0016024857 0.0016421433
##  [2721] 0.0016620425 0.0016180843 0.0016829412 0.0016795909 0.0016331879
##  [2726] 0.0016649884 0.0015981762 0.0016286688 0.0016290603 0.0016248446
##  [2731] 0.0016005348 0.0016427307 0.0015806737 0.0015392044 0.0015583301
##  [2736] 0.0015481247 0.0015898712 0.0015928999 0.0016485080 0.0016772447
##  [2741] 0.0015777477 0.0015254232 0.0015656005 0.0016024927 0.0015596631
##  [2746] 0.0015041132 0.0015427148 0.0014938529 0.0015778144 0.0016683839
##  [2751] 0.0015985323 0.0015553275 0.0015035768 0.0015262808 0.0014672128
##  [2756] 0.0013916275 0.0014737047 0.0015304543 0.0015533972 0.0015201037
##  [2761] 0.0015028980 0.0015315600 0.0014907859 0.0014996135 0.0014943279
##  [2766] 0.0015759421 0.0016148777 0.0016699049 0.0016790210 0.0016395755
##  [2771] 0.0016500335 0.0015802512 0.0016181811 0.0016855619 0.0016842987
##  [2776] 0.0016447673 0.0016915026 0.0016908337 0.0016600264 0.0017270390
##  [2781] 0.0016903980 0.0017453612 0.0016964168 0.0016917562 0.0017327003
##  [2786] 0.0016674799 0.0016749081 0.0016543482 0.0016729652 0.0016582194
##  [2791] 0.0016661867 0.0017325551 0.0017209895 0.0017576358 0.0017465706
##  [2796] 0.0016982627 0.0016917772 0.0016228640 0.0014958796 0.0015725591
##  [2801] 0.0015456083 0.0014658519 0.0015020669 0.0015177816 0.0014842064
##  [2806] 0.0014871407 0.0014659033 0.0015098555 0.0015541397 0.0014603055
##  [2811] 0.0014685713 0.0014713308 0.0014936386 0.0013904528 0.0013816448
##  [2816] 0.0014741744 0.0015227603 0.0014695564 0.0013971319 0.0014027548
##  [2821] 0.0013913080 0.0014365202 0.0014413772 0.0014430906 0.0014452475
##  [2826] 0.0014473558 0.0013936226 0.0014862916 0.0014207605 0.0014361650
##  [2831] 0.0014059791 0.0014649083 0.0015068702 0.0014611742 0.0014654120
##  [2836] 0.0015119873 0.0016159669 0.0016513157 0.0016156762 0.0015730584
##  [2841] 0.0016758094 0.0015978521 0.0017380349 0.0017322049 0.0016865012
##  [2846] 0.0016927199 0.0017312995 0.0017403864 0.0016497316 0.0016592563
##  [2851] 0.0016745536 0.0016971103 0.0016392980 0.0015206044 0.0015054849
##  [2856] 0.0014764663 0.0014700505 0.0014326426 0.0014309059 0.0014206338
##  [2861] 0.0014581978 0.0014989199 0.0014465897 0.0014154798 0.0014219626
##  [2866] 0.0014817476 0.0014749437 0.0014002303 0.0014271231 0.0014016829
##  [2871] 0.0014680522 0.0014712168 0.0014487646 0.0014232284 0.0013957426
##  [2876] 0.0014205214 0.0014302045 0.0014671588 0.0014773699 0.0014676255
##  [2881] 0.0014060727 0.0014148455 0.0014047930 0.0014198401 0.0014793230
##  [2886] 0.0015725559 0.0015361367 0.0016304819 0.0015857208 0.0016132568
##  [2891] 0.0016359941 0.0016163499 0.0016762546 0.0016341258 0.0016594151
##  [2896] 0.0016596058 0.0016122366 0.0016842041 0.0015872768 0.0015614945
##  [2901] 0.0014839570 0.0014932543 0.0015042289 0.0014681865 0.0014916483
##  [2906] 0.0014654997 0.0014928447 0.0014993338 0.0015166646 0.0014650059
##  [2911] 0.0014586319 0.0014568989 0.0013751649 0.0013865536 0.0014375848
##  [2916] 0.0014158781 0.0014194860 0.0014427847 0.0014446246 0.0015189509
##  [2921] 0.0015576222 0.0016745516 0.0016828901 0.0016330104 0.0016412373
##  [2926] 0.0015918543 0.0015482079 0.0015378065 0.0015767348 0.0016049973
##  [2931] 0.0016488084 0.0016883511 0.0016608663 0.0015414874 0.0015729258
##  [2936] 0.0016638811 0.0016618358 0.0016057433 0.0015758732 0.0015445252
##  [2941] 0.0015530852 0.0015809534 0.0016031274 0.0016202644 0.0015658609
##  [2946] 0.0016055728 0.0016634818 0.0017856415 0.0017734897 0.0017760557
##  [2951] 0.0018332432 0.0018270096 0.0018798688 0.0018773967 0.0018724086
##  [2956] 0.0018758456 0.0019190880 0.0019350396 0.0019165987 0.0017880531
##  [2961] 0.0017486465 0.0017496121 0.0016135254 0.0017219608 0.0016660641
##  [2966] 0.0016341258 0.0017036546 0.0016077110 0.0016444619 0.0016277490
##  [2971] 0.0016259818 0.0016602960 0.0016176461 0.0015712708 0.0014373204
##  [2976] 0.0013884543 0.0013931597 0.0014170751 0.0015301078 0.0015384671
##  [2981] 0.0015399448 0.0015457902 0.0015111953 0.0015411051 0.0015619942
##  [2986] 0.0015963721 0.0015509565 0.0015556933 0.0015960021 0.0016333688
##  [2991] 0.0015915025 0.0015733605 0.0016260351 0.0016693227 0.0016669015
##  [2996] 0.0016543044 0.0016157410 0.0015789343 0.0015338150 0.0015135163
##  [3001] 0.0019137055 0.0019186637 0.0018642198 0.0019508663 0.0019842706
##  [3006] 0.0019341254 0.0019388693 0.0019759972 0.0019844220 0.0019523695
##  [3011] 0.0020224468 0.0020374971 0.0020200938 0.0018860689 0.0019381824
##  [3016] 0.0019375732 0.0019448438 0.0020219548 0.0020667342 0.0021079234
##  [3021] 0.0021540880 0.0021775804 0.0021711234 0.0020897355 0.0021197883
##  [3026] 0.0021281422 0.0021388395 0.0020772448 0.0020682607 0.0020998617
##  [3031] 0.0021540503 0.0021677674 0.0021835904 0.0021805316 0.0021126339
##  [3036] 0.0020921211 0.0020764272 0.0020746942 0.0021122507 0.0021342912
##  [3041] 0.0021213741 0.0021133836 0.0021358000 0.0021793344 0.0021451295
##  [3046] 0.0021073758 0.0021179432 0.0021609811 0.0021299774 0.0021844470
##  [3051] 0.0022159927 0.0021594917 0.0021710005 0.0021184064 0.0022015786
##  [3056] 0.0022988741 0.0022773544 0.0022378209 0.0022684879 0.0022554416
##  [3061] 0.0023759844 0.0023867698 0.0024021706 0.0024153072 0.0023741045
##  [3066] 0.0023725182 0.0022773016 0.0023382123 0.0023170251 0.0024203795
##  [3071] 0.0024352382 0.0024084766 0.0024228428 0.0023734422 0.0023025620
##  [3076] 0.0023168260 0.0022954522 0.0022727937 0.0022542409 0.0022326440
##  [3081] 0.0022076124 0.0022006629 0.0022760845 0.0021895667 0.0022141745
##  [3086] 0.0022167811 0.0022821875 0.0022551263 0.0022646549 0.0022805585
##  [3091] 0.0022658998 0.0023329571 0.0023768337 0.0024067489 0.0024867352
##  [3096] 0.0025495230 0.0024795095 0.0024416501 0.0023881572 0.0023681223
##  [3101] 0.0023316176 0.0023321737 0.0022733249 0.0022832618 0.0022492917
##  [3106] 0.0023312704 0.0023691999 0.0024326225 0.0024634578 0.0025470515
##  [3111] 0.0025037752 0.0024708888 0.0025436607 0.0024953765 0.0024889938
##  [3116] 0.0024519891 0.0024495485 0.0024259614 0.0024574295 0.0024399979
##  [3121] 0.0024138683 0.0024927142 0.0024805186 0.0024673357 0.0024620236
##  [3126] 0.0025034193 0.0025093982 0.0024941198 0.0024563538 0.0024358501
##  [3131] 0.0024242827 0.0023732618 0.0023848368 0.0023062764 0.0023154641
##  [3136] 0.0022145276 0.0022135268 0.0022009774 0.0021652178 0.0021690000
##  [3141] 0.0020443641 0.0020916744 0.0020353521 0.0020302688 0.0019636409
##  [3146] 0.0019211619 0.0020040328 0.0020026357 0.0019157504 0.0018547934
##  [3151] 0.0018897234 0.0018870183 0.0018765587 0.0018389530 0.0017782086
##  [3156] 0.0017312989 0.0017981776 0.0017750821 0.0016971154 0.0017976161
##  [3161] 0.0018085204 0.0017931086 0.0018414483 0.0019100129 0.0019003149
##  [3166] 0.0020103225 0.0019779869 0.0018954961 0.0018896182 0.0018859492
##  [3171] 0.0020047942 0.0020104415 0.0020168811 0.0020263658 0.0020109484
##  [3176] 0.0020189571 0.0020656820 0.0021919444 0.0022448552 0.0022982688
##  [3181] 0.0022338983 0.0022895842 0.0022946002 0.0022017242 0.0022183383
##  [3186] 0.0022010609 0.0022632633 0.0022336119 0.0022115729 0.0021521117
##  [3191] 0.0021496044 0.0021628194 0.0021234685 0.0021556036 0.0021130636
##  [3196] 0.0020548438 0.0021186256 0.0020594081 0.0020646739 0.0020457567
##  [3201] 0.0020685120 0.0021477283 0.0022344979 0.0022006302 0.0020558106
##  [3206] 0.0021949261 0.0022433187 0.0022575408 0.0022486978 0.0022681945
##  [3211] 0.0022704814 0.0022915457 0.0022577324 0.0021881380 0.0022375659
##  [3216] 0.0023469584 0.0023165823 0.0022645313 0.0023175700 0.0023003946
##  [3221] 0.0021985667 0.0022053339 0.0021765618 0.0021482777 0.0020746628
##  [3226] 0.0021710832 0.0021612070 0.0020808369 0.0020863741 0.0021025308
##  [3231] 0.0020621245 0.0019230104 0.0018906396 0.0019200313 0.0019227839
##  [3236] 0.0019199397 0.0019466513 0.0018803490 0.0019174220 0.0018880123
##  [3241] 0.0019185316 0.0019825504 0.0019859223 0.0019537049 0.0019971399
##  [3246] 0.0019032872 0.0018718815 0.0018365777 0.0018200586 0.0018723097
##  [3251] 0.0018719933 0.0018738555 0.0018803875 0.0018605208 0.0018810093
##  [3256] 0.0019470895 0.0018164346 0.0018468907 0.0018650849 0.0018303404
##  [3261] 0.0018814863 0.0018632385 0.0018531672 0.0019076574 0.0020232012
##  [3266] 0.0020459170 0.0020039860 0.0019425444 0.0019402701 0.0018983115
##  [3271] 0.0019011449 0.0019389633 0.0018844177 0.0020254709 0.0020259638
##  [3276] 0.0020929687 0.0019894172 0.0020350090 0.0019756246 0.0020342502
##  [3281] 0.0020553885 0.0020228325 0.0020919543 0.0020782952 0.0020263683
##  [3286] 0.0019608656 0.0018986346 0.0019504347 0.0019491328 0.0019991400
##  [3291] 0.0019831289 0.0020126451 0.0020425139 0.0019560200 0.0020343644
##  [3296] 0.0020282866 0.0020607644 0.0021084919 0.0021028956 0.0020633110
##  [3301] 0.0021165590 0.0020684917 0.0021697905 0.0021560205 0.0022609771
##  [3306] 0.0023548182 0.0023536883 0.0023631461 0.0022881690 0.0023191261
##  [3311] 0.0023752082 0.0023569918 0.0023151533 0.0022676113 0.0022632585
##  [3316] 0.0023083240 0.0022685212 0.0022642208 0.0022022389 0.0022330599
##  [3321] 0.0023228494 0.0023966298 0.0024441703 0.0023664046 0.0024065076
##  [3326] 0.0024277822 0.0023959517 0.0024012464 0.0023663069 0.0024134029
##  [3331] 0.0023589583 0.0022544890 0.0022304306 0.0023076692 0.0022897504
##  [3336] 0.0023214248 0.0023774121 0.0023842705 0.0023677889 0.0023378097
##  [3341] 0.0023679958 0.0023345177 0.0023252754 0.0023070439 0.0021766531
##  [3346] 0.0020920686 0.0021499548 0.0021529601 0.0022090633 0.0023070451
##  [3351] 0.0023823922 0.0024352601 0.0024580991 0.0024647638 0.0025506071
##  [3356] 0.0025911927 0.0025332073 0.0025211566 0.0023987955 0.0024078901
##  [3361] 0.0022694477 0.0023197652 0.0022778452 0.0022230310 0.0022304544
##  [3366] 0.0022626291 0.0023113335 0.0023290615 0.0022812451 0.0022002343
##  [3371] 0.0021588510 0.0021626620 0.0021348714 0.0021343873 0.0020585968
##  [3376] 0.0020858240 0.0020890888 0.0020865222 0.0020828058 0.0021923319
##  [3381] 0.0022300817 0.0022886603 0.0022304665 0.0022352526 0.0022943464
##  [3386] 0.0022850087 0.0021748266 0.0021817082 0.0020644744 0.0020197556
##  [3391] 0.0020949906 0.0021278587 0.0021763889 0.0021997491 0.0021837426
##  [3396] 0.0021243791 0.0022373257 0.0022481623 0.0022236992 0.0022580522
##  [3401] 0.0023308671 0.0024434514 0.0024120498 0.0023757859 0.0023459063
##  [3406] 0.0023259299 0.0023139769 0.0022914956 0.0023740750 0.0023656406
##  [3411] 0.0023326002 0.0023637925 0.0024329597 0.0023873862 0.0023677368
##  [3416] 0.0023732171 0.0024298153 0.0023989789 0.0023018045 0.0024074026
##  [3421] 0.0024982021 0.0024541403 0.0024551074 0.0023415593 0.0023719213
##  [3426] 0.0024581089 0.0023858453 0.0023498416 0.0023105186 0.0022672796
##  [3431] 0.0021661729 0.0021935793 0.0021140351 0.0021031119 0.0021320901
##  [3436] 0.0021210789 0.0021569462 0.0021576011 0.0021210812 0.0021565270
##  [3441] 0.0021309736 0.0022233180 0.0022117729 0.0022557325 0.0022646088
##  [3446] 0.0020991016 0.0020113212 0.0019813248 0.0019981022 0.0018680221
##  [3451] 0.0019287165 0.0019012184 0.0018896915 0.0018170420 0.0017358910
##  [3456] 0.0017126929 0.0017638232 0.0016538184 0.0016118588 0.0016417498
##  [3461] 0.0016097196 0.0017327658 0.0018088743 0.0018405182 0.0018589934
##  [3466] 0.0018930486 0.0018607878 0.0018982921 0.0019954747 0.0020664858
##  [3471] 0.0020225082 0.0019531177 0.0019313425 0.0019788543 0.0020621728
##  [3476] 0.0019894554 0.0020212437 0.0020362497 0.0021096862 0.0021006388
##  [3481] 0.0020764065 0.0020063056 0.0019748699 0.0019314772 0.0020569375
##  [3486] 0.0021867453 0.0021957557 0.0021432583 0.0020264935 0.0020530633
##  [3491] 0.0019751195 0.0020735088 0.0020354072 0.0020651977 0.0022590831
##  [3496] 0.0021761977 0.0021809985 0.0021231994 0.0021397388 0.0020871045
##  [3501] 0.0020852095 0.0020647606 0.0020086533 0.0020161929 0.0020659097
##  [3506] 0.0021610322 0.0020803190 0.0020616171 0.0021306167 0.0020727695
##  [3511] 0.0019373696 0.0018636647 0.0018223373 0.0018316680 0.0017908597
##  [3516] 0.0018214154 0.0017858995 0.0018240979 0.0017995683 0.0018613399
##  [3521] 0.0018271145 0.0018536205 0.0018033134 0.0018363603 0.0018326865
##  [3526] 0.0017516539 0.0017301950 0.0017730276 0.0018170920 0.0018275979
##  [3531] 0.0017643915 0.0018121154 0.0018008817 0.0017621121 0.0018519868
##  [3536] 0.0018045506 0.0018094625 0.0018571828 0.0018999095 0.0018574835
##  [3541] 0.0018267913 0.0018330862 0.0018735320 0.0018803916 0.0019518652
##  [3546] 0.0019576789 0.0019271945 0.0019696900 0.0018511919 0.0018571837
##  [3551] 0.0018907405 0.0019010703 0.0018362311 0.0018095236 0.0018850286
##  [3556] 0.0018382823 0.0017524443 0.0017720659 0.0017405698 0.0017095010
##  [3561] 0.0016614049 0.0016550119 0.0017001948 0.0016676001 0.0016383462
##  [3566] 0.0016944614 0.0016736678 0.0016662484 0.0016403642 0.0016965214
##  [3571] 0.0016492257 0.0016986891 0.0017285894 0.0017034151 0.0017533129
##  [3576] 0.0017996749 0.0018361534 0.0019202679 0.0018315648 0.0017727425
##  [3581] 0.0016893629 0.0017057252 0.0017904334 0.0018737162 0.0019118892
##  [3586] 0.0019468034 0.0019587837 0.0019867874 0.0020268759 0.0019961485
##  [3591] 0.0019530566 0.0019491454 0.0019999318 0.0019473741 0.0018421990
##  [3596] 0.0018891285 0.0018378130 0.0018263337 0.0018634515 0.0018324088
##  [3601] 0.0017939258 0.0018827805 0.0019311337 0.0019422312 0.0019266144
##  [3606] 0.0018780298 0.0018139662 0.0018024506 0.0018992257 0.0019140423
##  [3611] 0.0019229502 0.0019390077 0.0019122815 0.0018526979 0.0019648858
##  [3616] 0.0019583355 0.0019588156 0.0018669223 0.0018550925 0.0018398564
##  [3621] 0.0018297845 0.0017385519 0.0018337601 0.0019175928 0.0019561834
##  [3626] 0.0019009653 0.0019585813 0.0019665031 0.0019543454 0.0020379330
##  [3631] 0.0019935513 0.0019872961 0.0019405334 0.0019404429 0.0018540693
##  [3636] 0.0018371285 0.0018818410 0.0019071209 0.0018648623 0.0018922144
##  [3641] 0.0017737960 0.0017400937 0.0017702943 0.0017411183 0.0017344132
##  [3646] 0.0016590931 0.0016892502 0.0015845419 0.0015728331 0.0015631993
##  [3651] 0.0015353570 0.0014938979 0.0015962675 0.0015214543 0.0015335127
##  [3656] 0.0014195593 0.0014159338 0.0014275811 0.0013800153 0.0013992933
##  [3661] 0.0014139186 0.0014487548 0.0014082260 0.0013603221 0.0012818032
##  [3666] 0.0012558909 0.0011975434 0.0012055462 0.0012141423 0.0013257822
##  [3671] 0.0012798802 0.0013350550 0.0012996179 0.0012137065 0.0012326728
##  [3676] 0.0011920556 0.0011344285 0.0010822731 0.0010883359 0.0010804570
##  [3681] 0.0011251246 0.0010771828 0.0010876494 0.0011050335 0.0010623352
##  [3686] 0.0010411681 0.0010273002 0.0010690692 0.0011469517 0.0010942253
##  [3691] 0.0011515445 0.0011351880 0.0010446609 0.0010480019 0.0010800500
##  [3696] 0.0010891090 0.0009754214 0.0009945304 0.0010056110 0.0009993798
##  [3701] 0.0009577140 0.0010636898 0.0010643861 0.0010712884 0.0010182839
##  [3706] 0.0009730885 0.0008829234 0.0008530969 0.0009165417 0.0010099160
##  [3711] 0.0010912107 0.0011514710 0.0011696575 0.0011207821 0.0010931343
##  [3716] 0.0009718497 0.0009606375 0.0010314318 0.0010479278 0.0011059230
##  [3721] 0.0011331127 0.0010893033 0.0011611105 0.0011628064 0.0011062253
##  [3726] 0.0011406392 0.0010759776 0.0010997582 0.0011045460 0.0010786074
##  [3731] 0.0010550151 0.0010950928 0.0010529898 0.0010223147 0.0010484185
##  [3736] 0.0010300306 0.0010881201 0.0010820888 0.0011127384 0.0011470887
##  [3741] 0.0010609871 0.0010087720 0.0010541432 0.0010947612 0.0010349942
##  [3746] 0.0009899853 0.0010394836 0.0010106219 0.0010973878 0.0011839316
##  [3751] 0.0011532002 0.0011302823 0.0010671634 0.0010787135 0.0010328351
##  [3756] 0.0009489866 0.0010556272 0.0011074486 0.0011398356 0.0011192338
##  [3761] 0.0011158560 0.0011448210 0.0011063444 0.0011120012 0.0011397240
##  [3766] 0.0012275142 0.0012388091 0.0013055550 0.0013193367 0.0012797080
##  [3771] 0.0012562221 0.0011743583 0.0012014382 0.0012541396 0.0012566330
##  [3776] 0.0012061523 0.0012505208 0.0012393070 0.0012192264 0.0012667623
##  [3781] 0.0012384428 0.0012894681 0.0012404279 0.0012414950 0.0012735012
##  [3786] 0.0012066192 0.0012183875 0.0012116245 0.0012471386 0.0012104065
##  [3791] 0.0012201869 0.0012876659 0.0012881285 0.0013192321 0.0013141833
##  [3796] 0.0012650911 0.0012705146 0.0012274113 0.0011158610 0.0011919732
##  [3801] 0.0011516343 0.0010737769 0.0011245855 0.0011229956 0.0011055746
##  [3806] 0.0010830507 0.0010641034 0.0011172479 0.0011592426 0.0010971123
##  [3811] 0.0011243682 0.0011473206 0.0011863869 0.0011037533 0.0010850601
##  [3816] 0.0011653372 0.0011874939 0.0011161720 0.0010359614 0.0010565267
##  [3821] 0.0010741170 0.0011044407 0.0011273285 0.0011043970 0.0010984961
##  [3826] 0.0010914905 0.0010137082 0.0011147530 0.0010575346 0.0010754789
##  [3831] 0.0010452209 0.0011324934 0.0011622607 0.0011365421 0.0011486207
##  [3836] 0.0011895543 0.0012984676 0.0012827478 0.0012386646 0.0011930707
##  [3841] 0.0012922316 0.0011945735 0.0013238628 0.0013289644 0.0013083029
##  [3846] 0.0013088226 0.0013635107 0.0013650976 0.0012778977 0.0012824967
##  [3851] 0.0012977531 0.0013433069 0.0012832969 0.0011795605 0.0011455157
##  [3856] 0.0011124326 0.0010622427 0.0010325274 0.0010086310 0.0009788685
##  [3861] 0.0010185610 0.0010617358 0.0010383871 0.0010131472 0.0010200981
##  [3866] 0.0010899092 0.0010848427 0.0009883506 0.0009993083 0.0010053307
##  [3871] 0.0010732385 0.0010864938 0.0010703755 0.0010507409 0.0010457630
##  [3876] 0.0010617608 0.0010781936 0.0011194894 0.0011675151 0.0011433681
##  [3881] 0.0010933259 0.0011344551 0.0011324025 0.0011435664 0.0012071895
##  [3886] 0.0012879009 0.0012258385 0.0013153178 0.0012673713 0.0012741126
##  [3891] 0.0013068248 0.0013100273 0.0013639097 0.0013420381 0.0013863905
##  [3896] 0.0013678558 0.0013294440 0.0013825634 0.0012890432 0.0012533949
##  [3901] 0.0011810803 0.0011886828 0.0011913277 0.0011316513 0.0011571143
##  [3906] 0.0010988199 0.0011215124 0.0011266129 0.0011640038 0.0011116164
##  [3911] 0.0011206305 0.0011094283 0.0010439459 0.0010504874 0.0011394589
##  [3916] 0.0011179744 0.0011154381 0.0011580551 0.0011609273 0.0012645946
##  [3921] 0.0013136520 0.0014373411 0.0014534381 0.0013998161 0.0014206914
##  [3926] 0.0013825543 0.0013104158 0.0013127644 0.0013455912 0.0013625288
##  [3931] 0.0014037610 0.0014620444 0.0014558468 0.0013378880 0.0013901176
##  [3936] 0.0015007643 0.0015022788 0.0014289947 0.0014196194 0.0013781194
##  [3941] 0.0013749223 0.0014084509 0.0014389940 0.0014327140 0.0013871018
##  [3946] 0.0014203522 0.0014863288 0.0015832865 0.0015535929 0.0015742898
##  [3951] 0.0016155136 0.0016058135 0.0016357186 0.0016515737 0.0016469889
##  [3956] 0.0016573840 0.0017024493 0.0017133093 0.0016861477 0.0015694410
##  [3961] 0.0015345413 0.0015343870 0.0014061429 0.0015241698 0.0014419212
##  [3966] 0.0013608285 0.0014338100 0.0013202931 0.0013437942 0.0013267459
##  [3971] 0.0013555086 0.0014121829 0.0013622852 0.0013294402 0.0012037838
##  [3976] 0.0011787643 0.0012056723 0.0012188429 0.0013227930 0.0013273926
##  [3981] 0.0013424140 0.0013728675 0.0013473579 0.0013815812 0.0014238904
##  [3986] 0.0014388548 0.0014066332 0.0014124888 0.0014549472 0.0014877325
##  [3991] 0.0014561685 0.0014266008 0.0014570322 0.0014987393 0.0014933640
##  [3996] 0.0014803525 0.0014297243 0.0014105954 0.0013452883 0.0013236706
##  [4001] 0.0017443051 0.0017449082 0.0016979697 0.0017910231 0.0018297757
##  [4006] 0.0017830528 0.0018226472 0.0018414303 0.0018497231 0.0018194761
##  [4011] 0.0019089282 0.0019439571 0.0019130968 0.0018014624 0.0018586673
##  [4016] 0.0018574836 0.0018631175 0.0018918024 0.0019394967 0.0019662273
##  [4021] 0.0020172938 0.0020662779 0.0020773953 0.0019963687 0.0020289450
##  [4026] 0.0020247902 0.0020124443 0.0019240593 0.0019184873 0.0019455721
##  [4031] 0.0020319827 0.0020237417 0.0020183707 0.0020061629 0.0019409348
##  [4036] 0.0019059655 0.0018881161 0.0018817618 0.0019376687 0.0019742039
##  [4041] 0.0019573937 0.0019586159 0.0019718862 0.0020041421 0.0019648658
##  [4046] 0.0019055472 0.0019248350 0.0019705558 0.0019420619 0.0019981070
##  [4051] 0.0020170784 0.0019910090 0.0020090816 0.0019538423 0.0020383589
##  [4056] 0.0021567759 0.0021293539 0.0020677326 0.0021089105 0.0021184602
##  [4061] 0.0022441629 0.0022317919 0.0022752812 0.0022838478 0.0022560056
##  [4066] 0.0022573746 0.0021497431 0.0022125994 0.0022284743 0.0023499000
##  [4071] 0.0023745517 0.0023252015 0.0023522661 0.0023081420 0.0022345743
##  [4076] 0.0022464881 0.0022173597 0.0022341558 0.0022388568 0.0022059852
##  [4081] 0.0021868377 0.0021747466 0.0022265897 0.0021557926 0.0021845577
##  [4086] 0.0022145365 0.0022670277 0.0022519244 0.0022613808 0.0022839660
##  [4091] 0.0022458827 0.0023147079 0.0023773682 0.0024113847 0.0024831602
##  [4096] 0.0025183942 0.0024406197 0.0024262879 0.0023711978 0.0023461567
##  [4101] 0.0023086085 0.0023062475 0.0022701732 0.0022823364 0.0022453040
##  [4106] 0.0023521971 0.0023842215 0.0024318366 0.0024489522 0.0025357034
##  [4111] 0.0025102860 0.0024782299 0.0025516716 0.0024998097 0.0025189212
##  [4116] 0.0024890692 0.0024977439 0.0024966305 0.0025283889 0.0025236293
##  [4121] 0.0025012624 0.0025870841 0.0025898120 0.0025784787 0.0025905113
##  [4126] 0.0026250269 0.0026235931 0.0026156968 0.0025783768 0.0025797355
##  [4131] 0.0025879454 0.0025503839 0.0025749398 0.0024818334 0.0024910022
##  [4136] 0.0024189053 0.0024080134 0.0023664674 0.0023284748 0.0023233894
##  [4141] 0.0022078651 0.0022640332 0.0021843697 0.0021441743 0.0020608452
##  [4146] 0.0020225416 0.0021168758 0.0021275869 0.0020778097 0.0019967834
##  [4151] 0.0020360877 0.0020136427 0.0019911506 0.0019543450 0.0018575411
##  [4156] 0.0018091193 0.0018580200 0.0018290717 0.0017609393 0.0018475765
##  [4161] 0.0018808608 0.0018654652 0.0019322497 0.0019823242 0.0019520623
##  [4166] 0.0020817618 0.0020689778 0.0019869762 0.0019756342 0.0019941733
##  [4171] 0.0021038110 0.0021139305 0.0021214512 0.0021167113 0.0021013286
##  [4176] 0.0020885017 0.0021255418 0.0022400306 0.0022798663 0.0023567269
##  [4181] 0.0023010636 0.0023587635 0.0023681240 0.0022910548 0.0023148791
##  [4186] 0.0022990455 0.0023804475 0.0023166383 0.0023182837 0.0022830436
##  [4191] 0.0022654668 0.0022851086 0.0022440585 0.0022826966 0.0022247802
##  [4196] 0.0021770542 0.0022521473 0.0022036873 0.0022207697 0.0022156607
##  [4201] 0.0022532755 0.0023310122 0.0024398517 0.0024400031 0.0023151359
##  [4206] 0.0024474628 0.0024850118 0.0025055974 0.0025112124 0.0025326687
##  [4211] 0.0025343939 0.0025374576 0.0025027665 0.0024173038 0.0024636966
##  [4216] 0.0025324018 0.0025088124 0.0024335129 0.0024972442 0.0025015081
##  [4221] 0.0023970117 0.0023987655 0.0023648196 0.0023411276 0.0022808387
##  [4226] 0.0023843456 0.0023788136 0.0023181030 0.0023306133 0.0023391769
##  [4231] 0.0022937772 0.0021381011 0.0020969527 0.0021218631 0.0021437048
##  [4236] 0.0021410370 0.0021670523 0.0021052890 0.0021545672 0.0021564081
##  [4241] 0.0021863568 0.0022483724 0.0022528802 0.0022076310 0.0022705766
##  [4246] 0.0021390116 0.0021183904 0.0020804565 0.0020665654 0.0021168506
##  [4251] 0.0021184436 0.0021551672 0.0021312838 0.0020942987 0.0021317512
##  [4256] 0.0022020757 0.0020901093 0.0021270866 0.0021540120 0.0021285397
##  [4261] 0.0021824774 0.0022025079 0.0021990940 0.0022482714 0.0023284666
##  [4266] 0.0023503234 0.0023403226 0.0022641183 0.0022364841 0.0022032558
##  [4271] 0.0021883608 0.0022301352 0.0021769822 0.0023364620 0.0023532126
##  [4276] 0.0024049324 0.0022968174 0.0023308782 0.0022546342 0.0023100505
##  [4281] 0.0023278292 0.0022996052 0.0023753080 0.0023361645 0.0023184113
##  [4286] 0.0022630259 0.0022385121 0.0022864752 0.0023130182 0.0023752151
##  [4291] 0.0023356218 0.0023532782 0.0023499993 0.0022773388 0.0023798610
##  [4296] 0.0023919346 0.0024318075 0.0024591499 0.0024596312 0.0024305721
##  [4301] 0.0024830028 0.0024162251 0.0025328277 0.0025039860 0.0025931676
##  [4306] 0.0026870436 0.0026808797 0.0027148723 0.0026675341 0.0027013802
##  [4311] 0.0027363203 0.0027247202 0.0026997385 0.0026445610 0.0026390561
##  [4316] 0.0027099897 0.0026778644 0.0026748799 0.0025934041 0.0026246795
##  [4321] 0.0026845510 0.0027588788 0.0028079231 0.0026952985 0.0027427165
##  [4326] 0.0027754407 0.0027499267 0.0027687820 0.0027465981 0.0027882854
##  [4331] 0.0027731605 0.0026922812 0.0026903988 0.0027617016 0.0027315952
##  [4336] 0.0027679417 0.0028144026 0.0028019385 0.0027800935 0.0027410402
##  [4341] 0.0027830581 0.0027389503 0.0027545163 0.0027398973 0.0025904168
##  [4346] 0.0025207608 0.0025639836 0.0025566099 0.0026085764 0.0027154142
##  [4351] 0.0027840126 0.0028223583 0.0028563342 0.0028361648 0.0029231727
##  [4356] 0.0029540472 0.0028837227 0.0028714432 0.0027658219 0.0027492903
##  [4361] 0.0026176276 0.0026767055 0.0026464385 0.0026214643 0.0025973458
##  [4366] 0.0026429418 0.0026803872 0.0027058890 0.0026674747 0.0025958301
##  [4371] 0.0025857456 0.0025944504 0.0025594908 0.0025559138 0.0024899417
##  [4376] 0.0024874310 0.0024925959 0.0024816790 0.0024702976 0.0025597711
##  [4381] 0.0026173370 0.0026728762 0.0026070639 0.0026213563 0.0026878883
##  [4386] 0.0027076392 0.0026104864 0.0026142525 0.0025043924 0.0024535681
##  [4391] 0.0025156441 0.0025520695 0.0025968861 0.0026019199 0.0026021641
##  [4396] 0.0025478879 0.0026306647 0.0026488283 0.0026080550 0.0026517670
##  [4401] 0.0027212647 0.0028238677 0.0027936767 0.0027657137 0.0027511887
##  [4406] 0.0027354542 0.0027260422 0.0027082932 0.0028080901 0.0027669559
##  [4411] 0.0027526361 0.0027971917 0.0028720991 0.0028248076 0.0027853548
##  [4416] 0.0028183808 0.0028872027 0.0028589962 0.0027926800 0.0028901062
##  [4421] 0.0029749092 0.0029266243 0.0029235318 0.0028135743 0.0028311062
##  [4426] 0.0029168362 0.0028318010 0.0027779075 0.0027433275 0.0027059365
##  [4431] 0.0025929309 0.0026098708 0.0025017670 0.0024940273 0.0025315625
##  [4436] 0.0025194138 0.0025655083 0.0025500345 0.0025191491 0.0025506302
##  [4441] 0.0025330123 0.0026327251 0.0026264317 0.0026947742 0.0026957940
##  [4446] 0.0025313416 0.0024610588 0.0024531410 0.0024649270 0.0023292877
##  [4451] 0.0023675578 0.0023539849 0.0023166441 0.0022382221 0.0021574094
##  [4456] 0.0021466320 0.0021809317 0.0020661116 0.0020270657 0.0020632794
##  [4461] 0.0020238116 0.0021383043 0.0022239726 0.0022560587 0.0022536303
##  [4466] 0.0022829935 0.0022212502 0.0022526622 0.0023357236 0.0024055834
##  [4471] 0.0023719214 0.0022769978 0.0022755853 0.0022804030 0.0023659729
##  [4476] 0.0022978152 0.0023352615 0.0023513757 0.0024007435 0.0024020719
##  [4481] 0.0023736034 0.0023025862 0.0022700784 0.0022554112 0.0023756736
##  [4486] 0.0024966821 0.0024908025 0.0024318348 0.0023436465 0.0023698226
##  [4491] 0.0023116417 0.0024153545 0.0023688686 0.0023634049 0.0025664262
##  [4496] 0.0024902087 0.0025040241 0.0024537974 0.0024786064 0.0024380428
##  [4501] 0.0024251364 0.0024172572 0.0023703030 0.0023772619 0.0024537724
##  [4506] 0.0025346733 0.0024424092 0.0024160016 0.0024582464 0.0024029888
##  [4511] 0.0022605295 0.0022254956 0.0021793715 0.0021832718 0.0021729134
##  [4516] 0.0021804646 0.0021597967 0.0021826554 0.0021603283 0.0022197199
##  [4521] 0.0021793567 0.0022064738 0.0021593865 0.0021836169 0.0021765168
##  [4526] 0.0021139622 0.0020766949 0.0021345941 0.0021866962 0.0021943129
##  [4531] 0.0021593836 0.0022167645 0.0022456306 0.0022268368 0.0023139737
##  [4536] 0.0022778882 0.0023029339 0.0023631118 0.0023862573 0.0023876042
##  [4541] 0.0023665618 0.0023979024 0.0024331580 0.0024249545 0.0025131462
##  [4546] 0.0025029966 0.0024724032 0.0025004206 0.0023684998 0.0023879570
##  [4551] 0.0024227978 0.0024012577 0.0023493902 0.0023137381 0.0023829975
##  [4556] 0.0023390926 0.0022142284 0.0022595249 0.0022531325 0.0022128156
##  [4561] 0.0021495723 0.0021568570 0.0021982676 0.0021788375 0.0021476285
##  [4566] 0.0022125379 0.0022294847 0.0022231964 0.0022105513 0.0022591616
##  [4571] 0.0022179360 0.0022550405 0.0022965800 0.0022574435 0.0023026024
##  [4576] 0.0023726811 0.0024029390 0.0024991184 0.0023971119 0.0023306516
##  [4581] 0.0022600834 0.0022654815 0.0023426896 0.0024341461 0.0024692768
##  [4586] 0.0025328539 0.0025322662 0.0025515346 0.0025519149 0.0025098425
##  [4591] 0.0025104736 0.0024968665 0.0025838482 0.0025300006 0.0024139138
##  [4596] 0.0024489704 0.0024039954 0.0023846977 0.0024405568 0.0023902095
##  [4601] 0.0023791039 0.0024732037 0.0025000045 0.0025350314 0.0025268260
##  [4606] 0.0024548217 0.0023755469 0.0023625050 0.0024744985 0.0024776081
##  [4611] 0.0024868072 0.0024877778 0.0024705707 0.0023828476 0.0025375954
##  [4616] 0.0025240295 0.0025047636 0.0024254849 0.0023996655 0.0023886362
##  [4621] 0.0023788528 0.0022814529 0.0023786093 0.0024655413 0.0024976200
##  [4626] 0.0024330796 0.0024637685 0.0024611667 0.0024282573 0.0024999367
##  [4631] 0.0024380728 0.0024096291 0.0023879015 0.0023916564 0.0023153962
##  [4636] 0.0022528325 0.0022714966 0.0022915261 0.0022454800 0.0022663657
##  [4641] 0.0021431290 0.0021222690 0.0021719045 0.0021119691 0.0020944025
##  [4646] 0.0020121618 0.0020552730 0.0019722504 0.0019565311 0.0019455545
##  [4651] 0.0019481880 0.0019025532 0.0019875481 0.0018952885 0.0019039750
##  [4656] 0.0017575537 0.0017622957 0.0017850154 0.0017433861 0.0017838432
##  [4661] 0.0017899239 0.0018429325 0.0018013862 0.0017585613 0.0016727206
##  [4666] 0.0016646356 0.0015915024 0.0016213099 0.0016228747 0.0017381889
##  [4671] 0.0016773815 0.0017372405 0.0016874620 0.0015964455 0.0016208724
##  [4676] 0.0015650073 0.0015073310 0.0014672351 0.0014837662 0.0014212406
##  [4681] 0.0014759280 0.0014312039 0.0014309138 0.0014348427 0.0014005609
##  [4686] 0.0013880585 0.0013657542 0.0014196429 0.0014821646 0.0014349914
##  [4691] 0.0014539125 0.0014437938 0.0013393142 0.0012936013 0.0013158289
##  [4696] 0.0013199444 0.0011942265 0.0012182615 0.0012538317 0.0012337800
##  [4701] 0.0012027555 0.0012851062 0.0012734069 0.0012590578 0.0012093451
##  [4706] 0.0011521246 0.0010675468 0.0010448459 0.0011115674 0.0011912914
##  [4711] 0.0012659732 0.0013311794 0.0013384907 0.0012718146 0.0012755348
##  [4716] 0.0011598601 0.0011651558 0.0012605809 0.0012767083 0.0013215773
##  [4721] 0.0013310895 0.0012853734 0.0013812464 0.0013709707 0.0013256850
##  [4726] 0.0013257546 0.0012704064 0.0013215033 0.0013296859 0.0013119314
##  [4731] 0.0012811899 0.0013233620 0.0012781628 0.0012607300 0.0012659188
##  [4736] 0.0012245444 0.0012479728 0.0012357811 0.0012728815 0.0012847499
##  [4741] 0.0011790257 0.0011083323 0.0011659465 0.0012183400 0.0011647845
##  [4746] 0.0010947939 0.0011283418 0.0011108337 0.0011994779 0.0012812650
##  [4751] 0.0011947497 0.0011637169 0.0011176781 0.0011208115 0.0010636501
##  [4756] 0.0009744356 0.0010714990 0.0011055136 0.0011258035 0.0011095964
##  [4761] 0.0011075145 0.0011261118 0.0010564130 0.0010567919 0.0010936979
##  [4766] 0.0011712466 0.0011963696 0.0012454055 0.0012685713 0.0012243371
##  [4771] 0.0012133258 0.0011447189 0.0011739292 0.0012525273 0.0012570526
##  [4776] 0.0012261734 0.0012917104 0.0012861097 0.0012752959 0.0013226071
##  [4781] 0.0012995404 0.0013380256 0.0013228227 0.0013381233 0.0013846541
##  [4786] 0.0013163149 0.0013466547 0.0013294876 0.0013698144 0.0013462777
##  [4791] 0.0013335712 0.0013848793 0.0013884048 0.0014315896 0.0014237668
##  [4796] 0.0013783599 0.0013942208 0.0013372360 0.0012191246 0.0012788988
##  [4801] 0.0012429489 0.0011494140 0.0011985742 0.0011800369 0.0011572988
##  [4806] 0.0011478806 0.0011209455 0.0011545974 0.0011737094 0.0010949798
##  [4811] 0.0011032316 0.0011192898 0.0011450294 0.0010214279 0.0010078957
##  [4816] 0.0011052292 0.0011343819 0.0010757648 0.0009976236 0.0010325463
##  [4821] 0.0010287220 0.0010631414 0.0010844515 0.0011042931 0.0011135737
##  [4826] 0.0011275949 0.0010594268 0.0011750226 0.0011283408 0.0011360811
##  [4831] 0.0010964890 0.0011662246 0.0012195289 0.0012115544 0.0012165433
##  [4836] 0.0012848441 0.0013880336 0.0014094457 0.0013662795 0.0013174220
##  [4841] 0.0014021700 0.0013048890 0.0014623987 0.0014433691 0.0014266876
##  [4846] 0.0014218382 0.0014608101 0.0014798183 0.0013670691 0.0013783804
##  [4851] 0.0014107184 0.0014419065 0.0014055094 0.0013127235 0.0012956954
##  [4856] 0.0012507846 0.0012079610 0.0011492674 0.0011271344 0.0011135084
##  [4861] 0.0011476132 0.0011817612 0.0011574196 0.0011538091 0.0011810626
##  [4866] 0.0012331171 0.0012231368 0.0011658656 0.0011682277 0.0011758466
##  [4871] 0.0012527880 0.0012566499 0.0012375385 0.0012118570 0.0011930427
##  [4876] 0.0011879805 0.0011887091 0.0012231391 0.0012569526 0.0012455824
##  [4881] 0.0012241277 0.0012547921 0.0012546758 0.0012669311 0.0013202707
##  [4886] 0.0014033243 0.0013739787 0.0014569244 0.0014236319 0.0014325804
##  [4891] 0.0014272034 0.0014212819 0.0015076945 0.0014811780 0.0015224276
##  [4896] 0.0015164393 0.0014745174 0.0015251087 0.0014145617 0.0013933757
##  [4901] 0.0013469523 0.0013629019 0.0013714475 0.0013225247 0.0013521109
##  [4906] 0.0013163272 0.0013516568 0.0013561324 0.0013627193 0.0013100575
##  [4911] 0.0012913099 0.0012770445 0.0012221500 0.0012302268 0.0012992517
##  [4916] 0.0012565310 0.0012692816 0.0013066582 0.0013254668 0.0014008709
##  [4921] 0.0014154249 0.0015095459 0.0015250064 0.0014896891 0.0015143078
##  [4926] 0.0014869442 0.0014249904 0.0014299593 0.0014657062 0.0014852124
##  [4931] 0.0015382909 0.0015834773 0.0015532590 0.0014239294 0.0014794910
##  [4936] 0.0015940499 0.0016075542 0.0015329365 0.0015208047 0.0014793220
##  [4941] 0.0014695161 0.0015090723 0.0015451779 0.0015523765 0.0015102871
##  [4946] 0.0015327197 0.0016013423 0.0017084566 0.0016949988 0.0017221409
##  [4951] 0.0017959186 0.0017876680 0.0017962075 0.0018211981 0.0018248620
##  [4956] 0.0018336318 0.0019002622 0.0019271354 0.0019084246 0.0018117731
##  [4961] 0.0017761841 0.0017664575 0.0016453094 0.0017528602 0.0016859360
##  [4966] 0.0016500744 0.0017239328 0.0016201113 0.0016506833 0.0016416155
##  [4971] 0.0016519998 0.0016804771 0.0016349514 0.0016157409 0.0014894897
##  [4976] 0.0014428030 0.0014553250 0.0014745264 0.0015537869 0.0015571172
##  [4981] 0.0015899804 0.0015806503 0.0015676294 0.0016010405 0.0016169519
##  [4986] 0.0016244762 0.0015824099 0.0015810145 0.0016293558 0.0016679792
##  [4991] 0.0016527410 0.0016141103 0.0016257598 0.0016939721 0.0017145904
##  [4996] 0.0016982810 0.0016468910 0.0016348454 0.0015666282 0.0015330423
##  [5001] 0.0019571101 0.0019595506 0.0019366296 0.0020022692 0.0020068010
##  [5006] 0.0019796561 0.0020166359 0.0020468723 0.0020723813 0.0020584942
##  [5011] 0.0021424935 0.0021609896 0.0021318000 0.0020213872 0.0020634290
##  [5016] 0.0020658872 0.0020737039 0.0021263184 0.0021706453 0.0022074592
##  [5021] 0.0022506195 0.0022754908 0.0022651638 0.0021590371 0.0021931480
##  [5026] 0.0022056322 0.0022081868 0.0021467414 0.0021235909 0.0021241278
##  [5031] 0.0022072950 0.0022145672 0.0022368390 0.0022381083 0.0021746505
##  [5036] 0.0021644358 0.0021356795 0.0021308199 0.0022017910 0.0022434146
##  [5041] 0.0022340615 0.0022129813 0.0022634098 0.0022740518 0.0022559094
##  [5046] 0.0022206517 0.0022480244 0.0022954484 0.0022973210 0.0023483660
##  [5051] 0.0023752613 0.0023522729 0.0023827494 0.0023268017 0.0024206920
##  [5056] 0.0025144156 0.0025004975 0.0024576671 0.0024945828 0.0025041268
##  [5061] 0.0026472889 0.0026401635 0.0026794868 0.0026889446 0.0026291123
##  [5066] 0.0026357546 0.0025306174 0.0025946463 0.0026057292 0.0027245737
##  [5071] 0.0027439033 0.0026864616 0.0027093722 0.0026458447 0.0025766400
##  [5076] 0.0025719623 0.0025623832 0.0025621070 0.0025704020 0.0025314160
##  [5081] 0.0025020025 0.0024909973 0.0025383338 0.0024582476 0.0025000135
##  [5086] 0.0025079223 0.0025737910 0.0025704068 0.0025959349 0.0026200347
##  [5091] 0.0025829009 0.0026516030 0.0027172743 0.0027485381 0.0028522691
##  [5096] 0.0028789216 0.0028067892 0.0027756069 0.0026979381 0.0026567207
##  [5101] 0.0026145948 0.0026027095 0.0025405158 0.0025568554 0.0025254687
##  [5106] 0.0026090237 0.0026416707 0.0026941484 0.0027075993 0.0028059113
##  [5111] 0.0027801834 0.0027588570 0.0028323316 0.0027979371 0.0027796121
##  [5116] 0.0027553394 0.0027409835 0.0027323417 0.0027570415 0.0027520826
##  [5121] 0.0027419875 0.0028085573 0.0027977247 0.0027936317 0.0027881710
##  [5126] 0.0028321802 0.0028166214 0.0028195455 0.0027777768 0.0027558168
##  [5131] 0.0027593361 0.0027137313 0.0027529764 0.0026581876 0.0026761851
##  [5136] 0.0025894883 0.0025936118 0.0025848542 0.0025333291 0.0025275647
##  [5141] 0.0024222990 0.0024772156 0.0023873680 0.0023782868 0.0023238779
##  [5146] 0.0022823892 0.0023750510 0.0023906478 0.0023499650 0.0022791284
##  [5151] 0.0023156847 0.0023041239 0.0022942915 0.0022640853 0.0021880529
##  [5156] 0.0021302358 0.0021799722 0.0021392210 0.0020628418 0.0021620042
##  [5161] 0.0021811038 0.0021785025 0.0022147917 0.0022664083 0.0022260309
##  [5166] 0.0023391126 0.0023341033 0.0022625533 0.0022497540 0.0022625120
##  [5171] 0.0023777152 0.0023857336 0.0024037882 0.0023763976 0.0023513816
##  [5176] 0.0023519748 0.0023983327 0.0024931423 0.0025411938 0.0026022411
##  [5181] 0.0025426880 0.0025756966 0.0025840039 0.0025117741 0.0025506475
##  [5186] 0.0025317908 0.0026041517 0.0025443898 0.0025097989 0.0024757626
##  [5191] 0.0024584215 0.0024891949 0.0024492172 0.0024980214 0.0024355406
##  [5196] 0.0023780981 0.0024442542 0.0023861798 0.0024113576 0.0023977804
##  [5201] 0.0024144542 0.0024861044 0.0025569301 0.0025374709 0.0024238629
##  [5206] 0.0025472429 0.0025915489 0.0026150519 0.0026109535 0.0026473547
##  [5211] 0.0026500394 0.0026776450 0.0026579463 0.0025690046 0.0026211249
##  [5216] 0.0027062909 0.0026985173 0.0026190245 0.0026520466 0.0026565734
##  [5221] 0.0025599831 0.0025699964 0.0025410573 0.0025269311 0.0024743968
##  [5226] 0.0025762633 0.0025480790 0.0024624404 0.0024931495 0.0025146712
##  [5231] 0.0024592494 0.0023050205 0.0022880048 0.0023167963 0.0023207554
##  [5236] 0.0023194983 0.0023572955 0.0022900076 0.0023535519 0.0023575285
##  [5241] 0.0023925502 0.0024241844 0.0024368591 0.0024065310 0.0024604067
##  [5246] 0.0023476363 0.0023097843 0.0023046974 0.0023027332 0.0023637786
##  [5251] 0.0023854321 0.0024021608 0.0023963476 0.0023906526 0.0024131396
##  [5256] 0.0024763915 0.0023621977 0.0024049073 0.0024359218 0.0024108885
##  [5261] 0.0024725076 0.0024375329 0.0024189544 0.0024530469 0.0025310242
##  [5266] 0.0025574857 0.0025404566 0.0024819990 0.0024674220 0.0024122298
##  [5271] 0.0023886820 0.0024034193 0.0023582804 0.0024964169 0.0025170701
##  [5276] 0.0025778521 0.0024310484 0.0024446320 0.0023710592 0.0024000305
##  [5281] 0.0024164083 0.0023901740 0.0024724898 0.0024302029 0.0023959952
##  [5286] 0.0023415408 0.0023228696 0.0023682908 0.0024028267 0.0024610582
##  [5291] 0.0024461536 0.0024563250 0.0024511173 0.0023687139 0.0024659233
##  [5296] 0.0024756226 0.0025068095 0.0025602510 0.0025617714 0.0025574453
##  [5301] 0.0026205961 0.0025574726 0.0026630746 0.0026416024 0.0027329251
##  [5306] 0.0028086263 0.0028044508 0.0028488712 0.0027932960 0.0028184144
##  [5311] 0.0028714117 0.0028639889 0.0028252824 0.0028033442 0.0028018224
##  [5316] 0.0028730565 0.0028354816 0.0028246127 0.0027588573 0.0027716305
##  [5321] 0.0028577420 0.0029322693 0.0029858679 0.0028622903 0.0028797628
##  [5326] 0.0029167213 0.0028970437 0.0028994889 0.0028474757 0.0028758489
##  [5331] 0.0028664207 0.0027753765 0.0027549871 0.0028357993 0.0027941280
##  [5336] 0.0028440005 0.0028964433 0.0028984948 0.0028735950 0.0028627696
##  [5341] 0.0028966493 0.0028417220 0.0028544312 0.0028295767 0.0027069089
##  [5346] 0.0026379467 0.0026746268 0.0026735522 0.0027093134 0.0028182600
##  [5351] 0.0028878388 0.0029318182 0.0029515674 0.0029494435 0.0030556970
##  [5356] 0.0030811447 0.0030032490 0.0029890647 0.0028629783 0.0028576405
##  [5361] 0.0027121017 0.0028059728 0.0027819861 0.0027789777 0.0027695635
##  [5366] 0.0027870853 0.0028272057 0.0028594540 0.0028280599 0.0027603209
##  [5371] 0.0027359931 0.0027364500 0.0026867554 0.0026667396 0.0026214107
##  [5376] 0.0026190261 0.0026254725 0.0025998995 0.0025816618 0.0026748200
##  [5381] 0.0027248690 0.0027755136 0.0027219727 0.0027375995 0.0028143060
##  [5386] 0.0028097321 0.0026976303 0.0027432826 0.0026422771 0.0025980645
##  [5391] 0.0026685853 0.0027173569 0.0027923234 0.0028167790 0.0028058120
##  [5396] 0.0027573227 0.0028461412 0.0028496929 0.0028093647 0.0028558297
##  [5401] 0.0029124378 0.0030099231 0.0029990965 0.0029851712 0.0029625021
##  [5406] 0.0029282730 0.0029088864 0.0029015219 0.0029824469 0.0029347010
##  [5411] 0.0028974657 0.0029327592 0.0029812290 0.0029428401 0.0029139756
##  [5416] 0.0029485558 0.0030101968 0.0029813900 0.0029189046 0.0030119515
##  [5421] 0.0030870486 0.0030540814 0.0030519546 0.0029483869 0.0029892260
##  [5426] 0.0030905763 0.0029848407 0.0029479706 0.0029168138 0.0028870863
##  [5431] 0.0027809876 0.0028027398 0.0027197406 0.0027063379 0.0027448768
##  [5436] 0.0027645344 0.0028263179 0.0028115517 0.0027656009 0.0027860977
##  [5441] 0.0027652526 0.0028478382 0.0028575989 0.0028947771 0.0029130187
##  [5446] 0.0027491406 0.0026710395 0.0026624296 0.0026668856 0.0025392796
##  [5451] 0.0025901243 0.0025492122 0.0025124059 0.0024102856 0.0023230891
##  [5456] 0.0023522610 0.0023803200 0.0022790783 0.0022253523 0.0022575398
##  [5461] 0.0022232913 0.0023337091 0.0023822127 0.0024112478 0.0024074378
##  [5466] 0.0024187534 0.0023715430 0.0024004775 0.0024814882 0.0025344662
##  [5471] 0.0024957113 0.0023897833 0.0023921145 0.0024169745 0.0025091550
##  [5476] 0.0024454764 0.0024629363 0.0024865815 0.0025592303 0.0025568967
##  [5481] 0.0025360275 0.0024669044 0.0024439517 0.0024223083 0.0025530134
##  [5486] 0.0026934614 0.0026637276 0.0026140228 0.0025146476 0.0025284915
##  [5491] 0.0024742946 0.0025982961 0.0025575239 0.0025652684 0.0027742148
##  [5496] 0.0027180620 0.0027510106 0.0026785686 0.0027101649 0.0026807628
##  [5501] 0.0026969109 0.0026908444 0.0026104831 0.0026094602 0.0026723430
##  [5506] 0.0027450884 0.0026703447 0.0026591376 0.0027337729 0.0026841355
##  [5511] 0.0025458332 0.0025066303 0.0024590736 0.0024645688 0.0024449031
##  [5516] 0.0024442512 0.0024383378 0.0024601501 0.0024533266 0.0025115054
##  [5521] 0.0024733822 0.0024961328 0.0024448208 0.0024648463 0.0024641500
##  [5526] 0.0023585744 0.0023331607 0.0023704007 0.0024009600 0.0024185454
##  [5531] 0.0023607094 0.0024341531 0.0024537039 0.0024244406 0.0025154869
##  [5536] 0.0024859213 0.0025093884 0.0025863340 0.0026021878 0.0025564488
##  [5541] 0.0025417844 0.0025536135 0.0025838692 0.0025874044 0.0026632091
##  [5546] 0.0026708026 0.0026330415 0.0026566180 0.0025427837 0.0025604095
##  [5551] 0.0025945919 0.0025945639 0.0025473380 0.0025203317 0.0026085250
##  [5556] 0.0025527677 0.0024275261 0.0024825904 0.0024576190 0.0024095748
##  [5561] 0.0023666358 0.0023637018 0.0024147492 0.0023655275 0.0023387922
##  [5566] 0.0024064164 0.0023937252 0.0023886731 0.0023527321 0.0024236134
##  [5571] 0.0023863810 0.0024475272 0.0024850615 0.0024563777 0.0025147631
##  [5576] 0.0025662765 0.0026184207 0.0027207384 0.0026067363 0.0025501917
##  [5581] 0.0024836319 0.0024872375 0.0025671770 0.0026411312 0.0026569564
##  [5586] 0.0026812932 0.0026866946 0.0027072264 0.0027221797 0.0026845981
##  [5591] 0.0026920382 0.0026901669 0.0027693929 0.0026978809 0.0025862960
##  [5596] 0.0026320930 0.0025944328 0.0025730934 0.0026274073 0.0025816811
##  [5601] 0.0025569470 0.0026379955 0.0026617660 0.0026850645 0.0026865002
##  [5606] 0.0026223739 0.0025364679 0.0025205291 0.0026210391 0.0026374926
##  [5611] 0.0026500556 0.0026718631 0.0026512818 0.0025815671 0.0027186538
##  [5616] 0.0026884039 0.0026708592 0.0025582694 0.0025585383 0.0025319303
##  [5621] 0.0025065964 0.0024269798 0.0025356160 0.0026464153 0.0026726908
##  [5626] 0.0026127281 0.0026673334 0.0026568997 0.0026452187 0.0027180242
##  [5631] 0.0026553671 0.0026323946 0.0025738618 0.0025663692 0.0024682548
##  [5636] 0.0024360515 0.0024986508 0.0025168967 0.0024741228 0.0024858752
##  [5641] 0.0023927849 0.0023711102 0.0023938791 0.0023552313 0.0023670956
##  [5646] 0.0022880440 0.0023287388 0.0022161004 0.0021991436 0.0021883067
##  [5651] 0.0021959884 0.0021544072 0.0022442744 0.0021579604 0.0021660387
##  [5656] 0.0020285966 0.0020346831 0.0020463037 0.0020071868 0.0020437226
##  [5661] 0.0020541136 0.0020990813 0.0020812862 0.0020288553 0.0019477092
##  [5666] 0.0019158483 0.0018369097 0.0018480017 0.0018579557 0.0019633264
##  [5671] 0.0019248288 0.0019831398 0.0019657755 0.0019169856 0.0019506583
##  [5676] 0.0018895184 0.0018446449 0.0018030174 0.0018105755 0.0017619467
##  [5681] 0.0018121755 0.0017530216 0.0017558813 0.0017422642 0.0016902861
##  [5686] 0.0016682481 0.0016393357 0.0016973538 0.0017664978 0.0017285881
##  [5691] 0.0017607350 0.0017685918 0.0016885926 0.0016457390 0.0016575106
##  [5696] 0.0016488384 0.0015209400 0.0015444234 0.0015694570 0.0015498125
##  [5701] 0.0015217119 0.0016181315 0.0016138817 0.0016155236 0.0015733147
##  [5706] 0.0014998604 0.0014528898 0.0014359154 0.0015018083 0.0015862438
##  [5711] 0.0016551076 0.0017236477 0.0016980850 0.0016559622 0.0016283143
##  [5716] 0.0015126656 0.0014792434 0.0015420573 0.0015357468 0.0015653487
##  [5721] 0.0015932379 0.0015603074 0.0016337301 0.0016255924 0.0015647347
##  [5726] 0.0015751465 0.0015179460 0.0015421235 0.0015637535 0.0015430700
##  [5731] 0.0015119065 0.0015600481 0.0015075957 0.0014731440 0.0014920159
##  [5736] 0.0014653433 0.0015123299 0.0015053638 0.0015437393 0.0015711056
##  [5741] 0.0014679131 0.0014120493 0.0014830069 0.0015102419 0.0014841822
##  [5746] 0.0014233519 0.0014657671 0.0014415910 0.0015185945 0.0016060920
##  [5751] 0.0015314079 0.0014899057 0.0014236772 0.0014578217 0.0013915948
##  [5756] 0.0013032776 0.0013684373 0.0014153989 0.0014621598 0.0014177911
##  [5761] 0.0014200963 0.0014431482 0.0013836957 0.0013785759 0.0013909776
##  [5766] 0.0014608563 0.0014834832 0.0015426133 0.0015296413 0.0014795775
##  [5771] 0.0014578172 0.0013860641 0.0014335181 0.0014954193 0.0014972324
##  [5776] 0.0014374910 0.0014668590 0.0014930844 0.0014876812 0.0015282944
##  [5781] 0.0014988928 0.0015367495 0.0014874175 0.0015073830 0.0015689029
##  [5786] 0.0014999255 0.0015207117 0.0015229633 0.0015500288 0.0015069837
##  [5791] 0.0015120104 0.0015859067 0.0016115756 0.0016572552 0.0016532925
##  [5796] 0.0016062974 0.0016196210 0.0015637588 0.0014355084 0.0014738719
##  [5801] 0.0014267643 0.0013493579 0.0013882875 0.0013848095 0.0013630659
##  [5806] 0.0013629842 0.0013321590 0.0013717856 0.0014064727 0.0013297441
##  [5811] 0.0013768280 0.0014182000 0.0014557794 0.0013320985 0.0013246699
##  [5816] 0.0014171162 0.0014429993 0.0013632146 0.0012903766 0.0012858401
##  [5821] 0.0012563594 0.0012904971 0.0013080129 0.0013096562 0.0013235574
##  [5826] 0.0013533411 0.0012995842 0.0014066559 0.0013419052 0.0013358167
##  [5831] 0.0013003912 0.0013888570 0.0014339498 0.0014046414 0.0014180547
##  [5836] 0.0014821513 0.0015887899 0.0016073796 0.0015617778 0.0015244271
##  [5841] 0.0016227619 0.0015274169 0.0016689426 0.0016752745 0.0016395714
##  [5846] 0.0016475456 0.0016848871 0.0017049932 0.0016217812 0.0016374354
##  [5851] 0.0016390091 0.0016661754 0.0016052421 0.0015075213 0.0015009704
##  [5856] 0.0014662644 0.0014131323 0.0013762942 0.0013669787 0.0013557350
##  [5861] 0.0013909832 0.0014282154 0.0013796854 0.0013740119 0.0013961804
##  [5866] 0.0014475109 0.0014401350 0.0013853890 0.0013940555 0.0013966388
##  [5871] 0.0014670220 0.0014929548 0.0014684721 0.0014518702 0.0014266959
##  [5876] 0.0014226517 0.0014310421 0.0014847648 0.0015205760 0.0015108823
##  [5881] 0.0014496969 0.0014902957 0.0014979166 0.0015099333 0.0015642862
##  [5886] 0.0016574558 0.0016178704 0.0017012575 0.0016712448 0.0016990262
##  [5891] 0.0017174976 0.0017112110 0.0017774844 0.0017541650 0.0017653018
##  [5896] 0.0017720218 0.0017243490 0.0017845261 0.0016890789 0.0016916975
##  [5901] 0.0016224552 0.0016221768 0.0016428298 0.0016254028 0.0016560874
##  [5906] 0.0016137252 0.0016417885 0.0016493571 0.0016795155 0.0016593234
##  [5911] 0.0016773983 0.0016638617 0.0015815416 0.0015807447 0.0016596704
##  [5916] 0.0016182725 0.0016067829 0.0016230154 0.0016265418 0.0017082806
##  [5921] 0.0017297314 0.0018269235 0.0018416202 0.0017924033 0.0018137537
##  [5926] 0.0017772278 0.0017436578 0.0017454593 0.0017903527 0.0018216342
##  [5931] 0.0018530963 0.0018803430 0.0018825464 0.0017645729 0.0017942695
##  [5936] 0.0018986627 0.0018988206 0.0018270799 0.0018006102 0.0017518612
##  [5941] 0.0017406175 0.0017714993 0.0018155712 0.0018222326 0.0017712510
##  [5946] 0.0018080114 0.0018817893 0.0019924148 0.0019602333 0.0019720691
##  [5951] 0.0020451547 0.0020444331 0.0020703364 0.0020753582 0.0020807365
##  [5956] 0.0020685482 0.0021107799 0.0021183555 0.0020991924 0.0019940933
##  [5961] 0.0019504078 0.0019355348 0.0018087557 0.0019181182 0.0018453009
##  [5966] 0.0017856558 0.0018552534 0.0017413044 0.0017610292 0.0017473305
##  [5971] 0.0017545941 0.0018056766 0.0017681287 0.0017178770 0.0015853893
##  [5976] 0.0015480386 0.0015542672 0.0015593218 0.0016420055 0.0016702224
##  [5981] 0.0016817110 0.0016801392 0.0016523563 0.0016813651 0.0017195394
##  [5986] 0.0017260135 0.0016789641 0.0016895189 0.0017435391 0.0017777281
##  [5991] 0.0017562871 0.0017303912 0.0017589519 0.0018104460 0.0018126703
##  [5996] 0.0018103567 0.0017727528 0.0017482296 0.0016817609 0.0016473428
##  [6001] 0.0020617624 0.0020822286 0.0020638149 0.0021421959 0.0021611835
##  [6006] 0.0021155226 0.0021452581 0.0021653633 0.0021883216 0.0021713731
##  [6011] 0.0022575142 0.0022809268 0.0022638872 0.0021594967 0.0022124187
##  [6016] 0.0021968954 0.0021979413 0.0022302849 0.0022546969 0.0022743393
##  [6021] 0.0023205431 0.0023503711 0.0023714003 0.0022688268 0.0023072312
##  [6026] 0.0023192863 0.0023029744 0.0022263885 0.0022096477 0.0022307969
##  [6031] 0.0023080267 0.0023220429 0.0023342306 0.0023351443 0.0022800131
##  [6036] 0.0022672791 0.0022414605 0.0022414134 0.0022802739 0.0023203613
##  [6041] 0.0022967534 0.0022798468 0.0023227040 0.0023674822 0.0023379187
##  [6046] 0.0022903040 0.0023066516 0.0023477781 0.0023535238 0.0023797830
##  [6051] 0.0024073859 0.0023672030 0.0023764948 0.0023155488 0.0023748834
##  [6056] 0.0024838549 0.0024505031 0.0023839478 0.0024104309 0.0023724933
##  [6061] 0.0024968310 0.0024980565 0.0025316982 0.0025488866 0.0025221505
##  [6066] 0.0025417077 0.0024459169 0.0025333310 0.0025462858 0.0026619751
##  [6071] 0.0026760025 0.0026355361 0.0026610372 0.0026239064 0.0025681313
##  [6076] 0.0025877073 0.0025690154 0.0025716927 0.0025662714 0.0025199283
##  [6081] 0.0024873341 0.0024808060 0.0025431016 0.0024702084 0.0024916296
##  [6086] 0.0025108949 0.0025588808 0.0025636202 0.0025898081 0.0025925189
##  [6091] 0.0025724041 0.0026266084 0.0027068925 0.0027531008 0.0028448579
##  [6096] 0.0028912948 0.0028193492 0.0027940359 0.0027337345 0.0027113660
##  [6101] 0.0026664526 0.0026481675 0.0026026143 0.0026119147 0.0025800903
##  [6106] 0.0026673897 0.0026961456 0.0027080150 0.0027370190 0.0028552275
##  [6111] 0.0028328274 0.0028140643 0.0028783754 0.0028367082 0.0028229283
##  [6116] 0.0028085634 0.0027772489 0.0027746986 0.0028069983 0.0027708297
##  [6121] 0.0027510284 0.0028331015 0.0028236382 0.0028133805 0.0028163282
##  [6126] 0.0028651250 0.0028694406 0.0028436240 0.0028097061 0.0027745321
##  [6131] 0.0027543329 0.0027158942 0.0027439937 0.0026593507 0.0026745796
##  [6136] 0.0025836391 0.0025679371 0.0025338927 0.0025127354 0.0025278803
##  [6141] 0.0024257802 0.0024766611 0.0023833596 0.0023672454 0.0023333508
##  [6146] 0.0023107939 0.0024369354 0.0024221129 0.0023507542 0.0022695730
##  [6151] 0.0023048681 0.0023083648 0.0022914994 0.0022552317 0.0021704884
##  [6156] 0.0021257900 0.0021820764 0.0021408775 0.0020765720 0.0021829592
##  [6161] 0.0022010130 0.0021960427 0.0022514668 0.0023068537 0.0022738698
##  [6166] 0.0024080228 0.0024139485 0.0023281348 0.0023143163 0.0023261564
##  [6171] 0.0024408280 0.0024495945 0.0024582370 0.0024550602 0.0024405127
##  [6176] 0.0024272733 0.0024569844 0.0025661122 0.0026132641 0.0026791623
##  [6181] 0.0026099488 0.0026694177 0.0026784715 0.0026068909 0.0026363055
##  [6186] 0.0026326551 0.0026873948 0.0026452074 0.0026264037 0.0025652756
##  [6191] 0.0025566357 0.0025755542 0.0025440500 0.0025877729 0.0025004906
##  [6196] 0.0024453903 0.0025355797 0.0024599636 0.0024574889 0.0024425386
##  [6201] 0.0024766917 0.0025641598 0.0026542903 0.0026332033 0.0025110676
##  [6206] 0.0026280300 0.0026638817 0.0026949114 0.0026868810 0.0027075272
##  [6211] 0.0026992762 0.0026931677 0.0026795182 0.0026164376 0.0026843542
##  [6216] 0.0027807662 0.0027741558 0.0027124176 0.0027445125 0.0027442937
##  [6221] 0.0026452901 0.0026622985 0.0026530396 0.0026438186 0.0025789218
##  [6226] 0.0026718932 0.0026549806 0.0025623213 0.0025658777 0.0025905210
##  [6231] 0.0025498475 0.0024173493 0.0023850025 0.0024043608 0.0023958642
##  [6236] 0.0023895290 0.0024118484 0.0023385994 0.0023889802 0.0024026407
##  [6241] 0.0024465662 0.0025012891 0.0025194431 0.0024815472 0.0025546542
##  [6246] 0.0024527624 0.0024289013 0.0024334532 0.0024018022 0.0024483110
##  [6251] 0.0024584381 0.0024570569 0.0024385083 0.0024299998 0.0024668534
##  [6256] 0.0025252849 0.0023990356 0.0024359369 0.0024718357 0.0024586572
##  [6261] 0.0025164195 0.0024972668 0.0024882546 0.0025358548 0.0026388312
##  [6266] 0.0026422256 0.0026133238 0.0025616778 0.0025526445 0.0025347449
##  [6271] 0.0025311995 0.0025592839 0.0025009358 0.0026115878 0.0026081758
##  [6276] 0.0026605208 0.0025445934 0.0026019548 0.0025401830 0.0026072910
##  [6281] 0.0026235090 0.0026059187 0.0026757289 0.0026486041 0.0026383515
##  [6286] 0.0025641763 0.0025281830 0.0025840591 0.0025972124 0.0026389525
##  [6291] 0.0026309112 0.0026613684 0.0026733315 0.0025818440 0.0026666365
##  [6296] 0.0026622463 0.0027083117 0.0027767083 0.0027634884 0.0027416755
##  [6301] 0.0027890813 0.0027273953 0.0028281575 0.0028169857 0.0029023876
##  [6306] 0.0029746215 0.0029764231 0.0029821078 0.0029129498 0.0029296627
##  [6311] 0.0030051727 0.0030267575 0.0029971313 0.0029614990 0.0029564609
##  [6316] 0.0030036325 0.0029892799 0.0029794939 0.0028972403 0.0029277514
##  [6321] 0.0029892883 0.0030950620 0.0031470418 0.0030301042 0.0030642608
##  [6326] 0.0030857864 0.0030520756 0.0030798097 0.0030271694 0.0030865404
##  [6331] 0.0030876275 0.0030070990 0.0029956148 0.0030743941 0.0030609283
##  [6336] 0.0030931994 0.0031421776 0.0031339593 0.0031233199 0.0030885692
##  [6341] 0.0031231190 0.0030654707 0.0030659806 0.0030504239 0.0029174863
##  [6346] 0.0028468799 0.0028910065 0.0028852887 0.0029273224 0.0030438775
##  [6351] 0.0031125895 0.0031624355 0.0031755394 0.0031482850 0.0032305065
##  [6356] 0.0032704784 0.0032040186 0.0032022664 0.0030967067 0.0030971202
##  [6361] 0.0029542389 0.0030354262 0.0030081519 0.0029655061 0.0029521326
##  [6366] 0.0029811379 0.0030238131 0.0030734039 0.0030472388 0.0029722304
##  [6371] 0.0029591927 0.0029816286 0.0029250123 0.0029194596 0.0028562505
##  [6376] 0.0028254627 0.0028458176 0.0028382308 0.0028410823 0.0029406785
##  [6381] 0.0029883594 0.0030398896 0.0029865357 0.0029960102 0.0030647750
##  [6386] 0.0030761168 0.0029636538 0.0029870370 0.0028688042 0.0028298648
##  [6391] 0.0028997644 0.0029087496 0.0029759092 0.0029989623 0.0029890634
##  [6396] 0.0029270806 0.0030277990 0.0030160297 0.0029643630 0.0029951189
##  [6401] 0.0030510234 0.0031605874 0.0031169986 0.0031088654 0.0031007318
##  [6406] 0.0030788277 0.0030466502 0.0030311225 0.0031225972 0.0030908171
##  [6411] 0.0030573476 0.0030911308 0.0031422434 0.0031078080 0.0030888686
##  [6416] 0.0031218922 0.0031611930 0.0031476153 0.0030722238 0.0031787720
##  [6421] 0.0032503735 0.0032159297 0.0032148596 0.0031199464 0.0031560536
##  [6426] 0.0032481254 0.0031455190 0.0031119003 0.0030655113 0.0030321648
##  [6431] 0.0029133016 0.0029176294 0.0028362313 0.0028273956 0.0028437811
##  [6436] 0.0028301678 0.0028968932 0.0028913079 0.0028689132 0.0029004481
##  [6441] 0.0028821618 0.0029848827 0.0029992487 0.0030568832 0.0030675177
##  [6446] 0.0029103785 0.0028146640 0.0028037474 0.0027933482 0.0026631112
##  [6451] 0.0027117052 0.0026721313 0.0026207550 0.0025354216 0.0024801182
##  [6456] 0.0024660018 0.0024997613 0.0023973505 0.0023354031 0.0023757638
##  [6461] 0.0023388831 0.0024457826 0.0025177170 0.0025436778 0.0025436199
##  [6466] 0.0025461816 0.0025111110 0.0025588197 0.0026305697 0.0027007970
##  [6471] 0.0026423909 0.0025684350 0.0025774991 0.0026235156 0.0026962608
##  [6476] 0.0026105381 0.0026087869 0.0025941606 0.0026439158 0.0026417485
##  [6481] 0.0026258473 0.0025737933 0.0025365486 0.0025150413 0.0026329339
##  [6486] 0.0027786907 0.0027658672 0.0027114211 0.0026030822 0.0026280958
##  [6491] 0.0025705773 0.0026916029 0.0026490002 0.0026652590 0.0028531759
##  [6496] 0.0027904550 0.0028216166 0.0027610599 0.0027717257 0.0027189535
##  [6501] 0.0027140909 0.0027020518 0.0026373307 0.0026558473 0.0027016195
##  [6506] 0.0027974557 0.0027195786 0.0027237767 0.0028037303 0.0027492995
##  [6511] 0.0026055323 0.0025591246 0.0025126619 0.0025266990 0.0024998339
##  [6516] 0.0025088375 0.0024856938 0.0025105807 0.0024846285 0.0025583536
##  [6521] 0.0025348495 0.0025649331 0.0025285275 0.0025223034 0.0025225623
##  [6526] 0.0024344306 0.0024248994 0.0024713914 0.0025094305 0.0025216427
##  [6531] 0.0024572865 0.0025469152 0.0025470384 0.0025185056 0.0026019859
##  [6536] 0.0025853333 0.0026032334 0.0026440574 0.0026712181 0.0026429066
##  [6541] 0.0026372058 0.0026561000 0.0026855543 0.0027000282 0.0027714340
##  [6546] 0.0027766901 0.0027443431 0.0027898257 0.0026826563 0.0027122017
##  [6551] 0.0027215135 0.0027166792 0.0026649667 0.0026373270 0.0027115306
##  [6556] 0.0026808964 0.0025546456 0.0026167584 0.0025871160 0.0025645575
##  [6561] 0.0025128134 0.0025092967 0.0025501970 0.0025151249 0.0024944629
##  [6566] 0.0025457042 0.0025232774 0.0025148087 0.0024867783 0.0025259344
##  [6571] 0.0024743983 0.0025262858 0.0025680648 0.0025412695 0.0025792395
##  [6576] 0.0026305764 0.0026510969 0.0027592173 0.0026626884 0.0025993113
##  [6581] 0.0025348427 0.0025455244 0.0026333549 0.0027249732 0.0027303810
##  [6586] 0.0027711319 0.0027513124 0.0027621750 0.0027800969 0.0027453631
##  [6591] 0.0027379705 0.0027385005 0.0028331625 0.0027817790 0.0026726825
##  [6596] 0.0027328261 0.0026931140 0.0026666670 0.0027088951 0.0026646347
##  [6601] 0.0026497865 0.0027194712 0.0027571597 0.0027988227 0.0027787151
##  [6606] 0.0027283537 0.0026510234 0.0026453183 0.0027451419 0.0027531954
##  [6611] 0.0027508741 0.0027456870 0.0027188413 0.0026449327 0.0027988140
##  [6616] 0.0027744627 0.0027530969 0.0026649123 0.0026604488 0.0026460030
##  [6621] 0.0026383220 0.0025409331 0.0026427523 0.0027244513 0.0027632905
##  [6626] 0.0027089135 0.0027649479 0.0027498842 0.0027136663 0.0027862964
##  [6631] 0.0027225223 0.0027121887 0.0026722449 0.0026625385 0.0025700384
##  [6636] 0.0025320818 0.0025641078 0.0025987625 0.0025323034 0.0025605915
##  [6641] 0.0024156061 0.0023775417 0.0024183716 0.0023785694 0.0023762648
##  [6646] 0.0022915897 0.0023248348 0.0022447194 0.0022197787 0.0021973958
##  [6651] 0.0022034662 0.0021486452 0.0022418619 0.0021541075 0.0021636231
##  [6656] 0.0020388474 0.0020276200 0.0020476858 0.0020039626 0.0020337383
##  [6661] 0.0020564099 0.0021039984 0.0020711840 0.0020192317 0.0019361868
##  [6666] 0.0019213695 0.0018599996 0.0018789856 0.0018823514 0.0019837386
##  [6671] 0.0019209503 0.0019669120 0.0019467427 0.0018852691 0.0019020479
##  [6676] 0.0018336462 0.0017681708 0.0017415204 0.0017592665 0.0017147907
##  [6681] 0.0017689168 0.0016983428 0.0017221333 0.0017404790 0.0016887129
##  [6686] 0.0016628577 0.0016438860 0.0016862518 0.0017433892 0.0016875090
##  [6691] 0.0017479956 0.0017229731 0.0016413403 0.0016047355 0.0016202777
##  [6696] 0.0016219068 0.0015091355 0.0015168328 0.0015544148 0.0015316688
##  [6701] 0.0014911749 0.0015772260 0.0015806275 0.0015740304 0.0015064502
##  [6706] 0.0014471414 0.0013701656 0.0013398439 0.0014209318 0.0015075389
##  [6711] 0.0015709370 0.0016342725 0.0016411234 0.0015778698 0.0015712693
##  [6716] 0.0014515368 0.0014461200 0.0015230154 0.0015217817 0.0015659643
##  [6721] 0.0015923397 0.0015508282 0.0016325628 0.0016192082 0.0015749357
##  [6726] 0.0015751404 0.0015082825 0.0015540410 0.0015765062 0.0015493822
##  [6731] 0.0015303891 0.0015508281 0.0015069918 0.0014551859 0.0014764959
##  [6736] 0.0014422344 0.0014860988 0.0014811348 0.0015425551 0.0015717828
##  [6741] 0.0014469817 0.0013830371 0.0014530262 0.0014970145 0.0014649618
##  [6746] 0.0014247949 0.0014897383 0.0014459164 0.0015184841 0.0015891527
##  [6751] 0.0015221024 0.0014869566 0.0014232380 0.0014448660 0.0013909089
##  [6756] 0.0012919051 0.0013787067 0.0014215521 0.0014433891 0.0014077645
##  [6761] 0.0013845188 0.0014107201 0.0013675894 0.0013851776 0.0013963346
##  [6766] 0.0014832167 0.0015098799 0.0015773044 0.0015760004 0.0015255273
##  [6771] 0.0014989528 0.0014165276 0.0014624401 0.0015131483 0.0015044651
##  [6776] 0.0014498956 0.0015080653 0.0015186591 0.0014957431 0.0015528009
##  [6781] 0.0015152581 0.0015584436 0.0015303249 0.0015604672 0.0016114648
##  [6786] 0.0015588436 0.0015991147 0.0016073969 0.0016623228 0.0016248972
##  [6791] 0.0016008537 0.0016680957 0.0016626573 0.0016836670 0.0016664504
##  [6796] 0.0016186958 0.0016105219 0.0015460389 0.0014252703 0.0014755704
##  [6801] 0.0014254924 0.0013385588 0.0013922701 0.0013950354 0.0013767160
##  [6806] 0.0013871489 0.0013658744 0.0014196236 0.0014349420 0.0013613895
##  [6811] 0.0013836393 0.0014092100 0.0014463300 0.0013421207 0.0013502431
##  [6816] 0.0014409927 0.0014652898 0.0013722928 0.0013035320 0.0013168268
##  [6821] 0.0013054842 0.0013409704 0.0013393665 0.0013361137 0.0013522565
##  [6826] 0.0013644522 0.0013051295 0.0014033247 0.0013557857 0.0013707698
##  [6831] 0.0013477156 0.0014161469 0.0014577184 0.0014459789 0.0014631026
##  [6836] 0.0015367703 0.0016523604 0.0016640743 0.0016105834 0.0015549093
##  [6841] 0.0016695168 0.0015733385 0.0017200613 0.0017042556 0.0016805729
##  [6846] 0.0016907330 0.0017418721 0.0017608827 0.0016943190 0.0017096504
##  [6851] 0.0017528684 0.0017590869 0.0017109170 0.0016049485 0.0016133567
##  [6856] 0.0015847064 0.0015676019 0.0015478365 0.0015164076 0.0015040972
##  [6861] 0.0015361292 0.0015703090 0.0015279916 0.0015274435 0.0015368713
##  [6866] 0.0015925738 0.0015795971 0.0015109653 0.0015147978 0.0015323265
##  [6871] 0.0016303743 0.0016417500 0.0016309398 0.0016198771 0.0015992596
##  [6876] 0.0015991416 0.0016168012 0.0016434817 0.0016507345 0.0016439680
##  [6881] 0.0015937128 0.0016249357 0.0016088758 0.0016273960 0.0016682865
##  [6886] 0.0017361501 0.0017158644 0.0017898111 0.0017368083 0.0017668320
##  [6891] 0.0017769413 0.0017535062 0.0018139541 0.0017784142 0.0018133142
##  [6896] 0.0018140246 0.0017586423 0.0018208979 0.0017253755 0.0016982970
##  [6901] 0.0016206622 0.0016276340 0.0016269074 0.0015707570 0.0015970697
##  [6906] 0.0015542236 0.0015838454 0.0015794230 0.0016118170 0.0015577623
##  [6911] 0.0015692543 0.0015369496 0.0014681266 0.0014615752 0.0015639226
##  [6916] 0.0015386998 0.0015300407 0.0015749023 0.0015801603 0.0016616994
##  [6921] 0.0016918334 0.0018157703 0.0018214439 0.0017794362 0.0018108116
##  [6926] 0.0017637312 0.0017442550 0.0017488393 0.0017856542 0.0017997290
##  [6931] 0.0018358884 0.0018835659 0.0018714056 0.0017560500 0.0017905890
##  [6936] 0.0018883939 0.0019128585 0.0018450990 0.0018235992 0.0017818383
##  [6941] 0.0017722813 0.0018083699 0.0018468717 0.0018595349 0.0018082003
##  [6946] 0.0018393910 0.0018885338 0.0019926299 0.0019791709 0.0020086174
##  [6951] 0.0020919729 0.0021005806 0.0021099514 0.0021150084 0.0021227133
##  [6956] 0.0021300727 0.0021769222 0.0022040125 0.0021758871 0.0020760955
##  [6961] 0.0020173898 0.0020195375 0.0019000381 0.0020025721 0.0019404897
##  [6966] 0.0019002324 0.0019815724 0.0018748884 0.0019095424 0.0019008541
##  [6971] 0.0019194187 0.0019713904 0.0019377200 0.0019151571 0.0017843446
##  [6976] 0.0017410502 0.0017645418 0.0017911791 0.0018692171 0.0018672737
##  [6981] 0.0019056361 0.0019158340 0.0018796309 0.0019238674 0.0019516088
##  [6986] 0.0019444061 0.0019221560 0.0019213803 0.0019596975 0.0020062916
##  [6991] 0.0019876897 0.0019545831 0.0019728383 0.0020274986 0.0020241022
##  [6996] 0.0020083604 0.0019606781 0.0019415195 0.0018674911 0.0018475904
##  [7001] 0.0022686049 0.0022683784 0.0022193523 0.0022869977 0.0023067775
##  [7006] 0.0022678499 0.0022843760 0.0023257568 0.0023434560 0.0023140051
##  [7011] 0.0023832269 0.0023848888 0.0023569991 0.0022328392 0.0023074847
##  [7016] 0.0023028843 0.0023027473 0.0023652419 0.0024059227 0.0024292730
##  [7021] 0.0024740666 0.0025118182 0.0025295463 0.0024252886 0.0024482948
##  [7026] 0.0024485421 0.0024703720 0.0023952111 0.0023946089 0.0024235037
##  [7031] 0.0025003235 0.0024841896 0.0024970233 0.0024862383 0.0024203696
##  [7036] 0.0023978198 0.0023746540 0.0023826548 0.0024287406 0.0024697155
##  [7041] 0.0024559537 0.0024382534 0.0024801281 0.0025122418 0.0024852458
##  [7046] 0.0024556953 0.0024906991 0.0025219939 0.0025184331 0.0025789280
##  [7051] 0.0025838049 0.0025603455 0.0025649564 0.0024950219 0.0025707624
##  [7056] 0.0026693264 0.0026620482 0.0026029483 0.0026175296 0.0026020613
##  [7061] 0.0027330780 0.0027422311 0.0027763785 0.0027867817 0.0027601423
##  [7066] 0.0027761854 0.0027063967 0.0027753051 0.0027797553 0.0028836068
##  [7071] 0.0029274890 0.0028896159 0.0029185825 0.0028691358 0.0028077587
##  [7076] 0.0028087510 0.0027728817 0.0027628490 0.0027641554 0.0027433530
##  [7081] 0.0027152597 0.0027064458 0.0027752708 0.0027092977 0.0027569099
##  [7086] 0.0027679773 0.0028230593 0.0028107525 0.0028314124 0.0028372307
##  [7091] 0.0028054639 0.0028769487 0.0029561321 0.0029943742 0.0030708257
##  [7096] 0.0031097239 0.0030285584 0.0029916457 0.0029175003 0.0028969702
##  [7101] 0.0028659655 0.0028878087 0.0028494994 0.0028599403 0.0028234893
##  [7106] 0.0029199326 0.0029700945 0.0030253517 0.0030315220 0.0031173399
##  [7111] 0.0030805959 0.0030458052 0.0031161199 0.0030778876 0.0030721331
##  [7116] 0.0030454974 0.0030228198 0.0030168013 0.0030399606 0.0030483754
##  [7121] 0.0030359966 0.0031097819 0.0031043084 0.0031101024 0.0031086325
##  [7126] 0.0031480196 0.0031455702 0.0031262360 0.0030825819 0.0030792913
##  [7131] 0.0030939842 0.0030667702 0.0031004835 0.0030152605 0.0030404778
##  [7136] 0.0029569040 0.0029482295 0.0029089487 0.0028745603 0.0028666133
##  [7141] 0.0027659459 0.0028347346 0.0027510268 0.0027182301 0.0026627817
##  [7146] 0.0026218133 0.0027260881 0.0027267987 0.0026683427 0.0025896294
##  [7151] 0.0026174761 0.0026056298 0.0025885113 0.0025366961 0.0024604851
##  [7156] 0.0024132186 0.0024664078 0.0024430493 0.0023747809 0.0024570557
##  [7161] 0.0024812722 0.0024708229 0.0025283030 0.0025720416 0.0025511457
##  [7166] 0.0026559923 0.0026434805 0.0025934470 0.0025916600 0.0026125928
##  [7171] 0.0027266823 0.0027179625 0.0027420812 0.0027427256 0.0027115184
##  [7176] 0.0027111241 0.0027405395 0.0028537047 0.0029120786 0.0029779218
##  [7181] 0.0028988947 0.0029417786 0.0029508152 0.0028564914 0.0028935243
##  [7186] 0.0028903005 0.0029635742 0.0029236720 0.0028987423 0.0028558849
##  [7191] 0.0028490130 0.0028672557 0.0028096202 0.0028512642 0.0027869045
##  [7196] 0.0027211840 0.0027823928 0.0027337528 0.0027638475 0.0027332226
##  [7201] 0.0027539729 0.0028385815 0.0029247907 0.0028990159 0.0027782549
##  [7206] 0.0029069114 0.0029442697 0.0029681100 0.0029688260 0.0029960633
##  [7211] 0.0029819299 0.0030006736 0.0029909100 0.0029193151 0.0029601537
##  [7216] 0.0030606565 0.0030354547 0.0029805256 0.0030173020 0.0030199701
##  [7221] 0.0029423337 0.0029466216 0.0029070109 0.0028875247 0.0028312854
##  [7226] 0.0029316457 0.0029220642 0.0028332218 0.0028571087 0.0028667920
##  [7231] 0.0028252105 0.0026736438 0.0026350757 0.0026650845 0.0026601159
##  [7236] 0.0026771791 0.0027147210 0.0026690762 0.0027191013 0.0027231318
##  [7241] 0.0027693745 0.0028176742 0.0028269638 0.0027851175 0.0028462394
##  [7246] 0.0027318578 0.0027114190 0.0026927734 0.0026761301 0.0027242490
##  [7251] 0.0027341945 0.0027560942 0.0027473090 0.0027299109 0.0027666765
##  [7256] 0.0028292482 0.0027129872 0.0027567466 0.0027763458 0.0027552281
##  [7261] 0.0028036024 0.0027749828 0.0027643004 0.0028213706 0.0028997615
##  [7266] 0.0029073704 0.0028724117 0.0028160330 0.0027939475 0.0027335858
##  [7271] 0.0027057084 0.0027119061 0.0026803246 0.0028313375 0.0028585276
##  [7276] 0.0029330382 0.0028170039 0.0028402407 0.0027577811 0.0028076450
##  [7281] 0.0028342455 0.0028072547 0.0028741925 0.0028513552 0.0028389095
##  [7286] 0.0027932835 0.0027676456 0.0028252689 0.0028506630 0.0029114350
##  [7291] 0.0029076767 0.0029271230 0.0029572477 0.0028725544 0.0029762557
##  [7296] 0.0029769431 0.0030189557 0.0030806644 0.0030899104 0.0030713582
##  [7301] 0.0031079868 0.0030362552 0.0031465335 0.0031298479 0.0032167942
##  [7306] 0.0032974788 0.0033071441 0.0033301205 0.0032767504 0.0032911755
##  [7311] 0.0033714799 0.0033760973 0.0033510832 0.0033079719 0.0032927924
##  [7316] 0.0033711946 0.0033337229 0.0033321276 0.0032501200 0.0032558278
##  [7321] 0.0033144562 0.0033902866 0.0034257116 0.0033226188 0.0033689197
##  [7326] 0.0033926086 0.0033896310 0.0033952293 0.0033532781 0.0033725265
##  [7331] 0.0033669630 0.0032738268 0.0032693653 0.0033451294 0.0033274582
##  [7336] 0.0033644282 0.0034254378 0.0034241073 0.0033849928 0.0033722414
##  [7341] 0.0034200003 0.0033488260 0.0033572088 0.0033251857 0.0031965884
##  [7346] 0.0031285361 0.0031819055 0.0031750934 0.0032074327 0.0033097976
##  [7351] 0.0033958918 0.0034177957 0.0034572160 0.0034515867 0.0035509439
##  [7356] 0.0035643005 0.0035000604 0.0034783027 0.0033684222 0.0033577086
##  [7361] 0.0032208395 0.0033005371 0.0032649703 0.0032346169 0.0032336469
##  [7366] 0.0032733568 0.0032993935 0.0033301675 0.0032931278 0.0032196365
##  [7371] 0.0032098637 0.0032170379 0.0031768473 0.0031836759 0.0031122531
##  [7376] 0.0031330816 0.0031348073 0.0031277532 0.0031135656 0.0032064776
##  [7381] 0.0032338726 0.0032951366 0.0032430074 0.0032579622 0.0033262402
##  [7386] 0.0033261856 0.0032001953 0.0032102711 0.0030947291 0.0030391988
##  [7391] 0.0031058299 0.0031354525 0.0031966913 0.0032134429 0.0031891200
##  [7396] 0.0031266593 0.0032058261 0.0032064444 0.0031532644 0.0031955837
##  [7401] 0.0032491838 0.0033707081 0.0033353135 0.0033287910 0.0032971420
##  [7406] 0.0032622873 0.0032526455 0.0032213770 0.0032990626 0.0032585950
##  [7411] 0.0032463861 0.0032737507 0.0033500534 0.0033010409 0.0032877391
##  [7416] 0.0033370379 0.0033795613 0.0033672931 0.0032839033 0.0033877450
##  [7421] 0.0034705826 0.0034378833 0.0034422957 0.0033396829 0.0033773732
##  [7426] 0.0034815609 0.0033756209 0.0033328917 0.0032860753 0.0032379370
##  [7431] 0.0031196313 0.0031517041 0.0030591154 0.0030529538 0.0030686892
##  [7436] 0.0030442019 0.0030813940 0.0030765434 0.0030645567 0.0031207759
##  [7441] 0.0031136758 0.0032044653 0.0032076818 0.0032447534 0.0032687414
##  [7446] 0.0031086047 0.0030307608 0.0030251016 0.0030286594 0.0028913964
##  [7451] 0.0029425294 0.0029054375 0.0028681340 0.0027914058 0.0027059445
##  [7456] 0.0026985030 0.0027075411 0.0026049959 0.0025604997 0.0025891932
##  [7461] 0.0025508240 0.0026521276 0.0027150867 0.0027369673 0.0027243852
##  [7466] 0.0027367453 0.0026976301 0.0027287105 0.0028021272 0.0028722865
##  [7471] 0.0028232845 0.0027290908 0.0027218005 0.0027525922 0.0028102436
##  [7476] 0.0027389849 0.0027661526 0.0027609304 0.0028276893 0.0028261032
##  [7481] 0.0028293136 0.0027849471 0.0027664231 0.0027458253 0.0029009463
##  [7486] 0.0030328790 0.0030188229 0.0029675066 0.0028531586 0.0028824266
##  [7491] 0.0028332898 0.0029402898 0.0028974002 0.0029023616 0.0031158287
##  [7496] 0.0030580735 0.0030677988 0.0030038165 0.0030190334 0.0029611983
##  [7501] 0.0029732240 0.0029513959 0.0028981630 0.0028889998 0.0029407115
##  [7506] 0.0030374274 0.0029519193 0.0029381631 0.0029953410 0.0029479616
##  [7511] 0.0028069434 0.0027501810 0.0026971016 0.0027088319 0.0026786567
##  [7516] 0.0027117942 0.0026831422 0.0026942984 0.0026598331 0.0027131248
##  [7521] 0.0026979506 0.0027165727 0.0026913770 0.0026911417 0.0026834398
##  [7526] 0.0025963116 0.0026013883 0.0026662916 0.0027046182 0.0027011419
##  [7531] 0.0026315748 0.0027025275 0.0027049537 0.0026861323 0.0027619225
##  [7536] 0.0027244505 0.0027380003 0.0028058200 0.0028588310 0.0028350040
##  [7541] 0.0028145114 0.0028341811 0.0028513919 0.0028439729 0.0029179299
##  [7546] 0.0028955772 0.0028603860 0.0028874078 0.0027568511 0.0027855292
##  [7551] 0.0028100813 0.0028108851 0.0027483850 0.0027215972 0.0027880909
##  [7556] 0.0027559168 0.0026440476 0.0026774696 0.0026494966 0.0026348875
##  [7561] 0.0025853810 0.0025736755 0.0026136637 0.0025951227 0.0025475872
##  [7566] 0.0025990422 0.0025710684 0.0025762160 0.0025319250 0.0025718198
##  [7571] 0.0025196965 0.0025670219 0.0025892471 0.0025635172 0.0026057578
##  [7576] 0.0026515668 0.0026958095 0.0028126866 0.0027240117 0.0026630421
##  [7581] 0.0025833897 0.0025997239 0.0026896029 0.0027731463 0.0028089714
##  [7586] 0.0028528552 0.0028405578 0.0028671685 0.0028929150 0.0028307059
##  [7591] 0.0028121869 0.0028110877 0.0028858646 0.0028333915 0.0027208492
##  [7596] 0.0027672119 0.0027386861 0.0027124580 0.0027451479 0.0026801900
##  [7601] 0.0026506549 0.0027300661 0.0027501599 0.0027877025 0.0027803838
##  [7606] 0.0027169299 0.0026484378 0.0026408141 0.0027422859 0.0027597771
##  [7611] 0.0027612551 0.0027667349 0.0027444839 0.0026731612 0.0028293649
##  [7616] 0.0028064333 0.0028074117 0.0027230376 0.0027100779 0.0027031016
##  [7621] 0.0026964683 0.0026098346 0.0027003126 0.0028003853 0.0028308576
##  [7626] 0.0027859631 0.0028175034 0.0028053687 0.0028008899 0.0028832807
##  [7631] 0.0028053087 0.0027855197 0.0027665274 0.0027790269 0.0026832613
##  [7636] 0.0026497167 0.0026872682 0.0027127225 0.0026645485 0.0026955054
##  [7641] 0.0025672510 0.0025530561 0.0025917127 0.0025598914 0.0025682757
##  [7646] 0.0024863025 0.0025191612 0.0024402544 0.0024303479 0.0024165114
##  [7651] 0.0024108531 0.0023787291 0.0024841569 0.0024129404 0.0024297011
##  [7656] 0.0022947468 0.0022753445 0.0022998496 0.0022324954 0.0022576152
##  [7661] 0.0022745802 0.0023284495 0.0023004993 0.0022509011 0.0021579031
##  [7666] 0.0021228410 0.0020363814 0.0020531993 0.0020707224 0.0021788061
##  [7671] 0.0021262959 0.0021540082 0.0021355407 0.0020675199 0.0021079591
##  [7676] 0.0020392044 0.0019762690 0.0019502298 0.0019635394 0.0019246145
##  [7681] 0.0019666895 0.0019108934 0.0019168556 0.0019045863 0.0018533071
##  [7686] 0.0018312911 0.0017810510 0.0018291489 0.0019016861 0.0018583052
##  [7691] 0.0018969132 0.0018985350 0.0018014958 0.0017629685 0.0017969674
##  [7696] 0.0018126711 0.0017101540 0.0017446425 0.0017751433 0.0017452385
##  [7701] 0.0017226016 0.0018196547 0.0018007214 0.0018034121 0.0017593382
##  [7706] 0.0017112273 0.0016483274 0.0016321255 0.0016841764 0.0017610841
##  [7711] 0.0018434589 0.0018880767 0.0018880941 0.0018156381 0.0018162424
##  [7716] 0.0016993406 0.0016836358 0.0017468720 0.0017519857 0.0017954427
##  [7721] 0.0018248534 0.0017829840 0.0018487428 0.0018426026 0.0017958084
##  [7726] 0.0018000745 0.0017346120 0.0017965992 0.0018188898 0.0018279533
##  [7731] 0.0018244585 0.0018546267 0.0018064905 0.0017434376 0.0017641064
##  [7736] 0.0017409034 0.0017889710 0.0017726883 0.0018184197 0.0018283179
##  [7741] 0.0017436394 0.0016884343 0.0017581859 0.0017986959 0.0017519606
##  [7746] 0.0016972024 0.0017454842 0.0017084019 0.0017747135 0.0018581197
##  [7751] 0.0018008698 0.0017715460 0.0017095401 0.0017339945 0.0016575426
##  [7756] 0.0015763322 0.0016684154 0.0017027300 0.0017528873 0.0017281763
##  [7761] 0.0017352146 0.0017578071 0.0017065172 0.0017048338 0.0017197007
##  [7766] 0.0017956638 0.0018350504 0.0018799732 0.0018717461 0.0018251070
##  [7771] 0.0017938026 0.0016992475 0.0017328595 0.0018048851 0.0018017750
##  [7776] 0.0017440084 0.0017892539 0.0017975664 0.0017746080 0.0018198054
##  [7781] 0.0018017025 0.0018597442 0.0018030373 0.0018262037 0.0018721687
##  [7786] 0.0018121586 0.0018289514 0.0018184559 0.0018669653 0.0018425516
##  [7791] 0.0018377735 0.0019147741 0.0019194396 0.0019567037 0.0019498731
##  [7796] 0.0019015042 0.0019068022 0.0018538836 0.0017378407 0.0017985552
##  [7801] 0.0017446030 0.0016676377 0.0017187296 0.0017177754 0.0016974813
##  [7806] 0.0016878475 0.0016527945 0.0017035045 0.0017402693 0.0016673933
##  [7811] 0.0016741018 0.0016853592 0.0017015441 0.0015893874 0.0015861229
##  [7816] 0.0016508832 0.0016964488 0.0016205641 0.0015628190 0.0015836271
##  [7821] 0.0015650652 0.0016130416 0.0016167319 0.0016093592 0.0016393793
##  [7826] 0.0016384016 0.0015784800 0.0016884946 0.0016234271 0.0016274115
##  [7831] 0.0016009063 0.0016933931 0.0017265184 0.0017011772 0.0017138259
##  [7836] 0.0017752605 0.0018944397 0.0018836383 0.0018332599 0.0017837474
##  [7841] 0.0018750699 0.0017794790 0.0019323798 0.0019208066 0.0018916309
##  [7846] 0.0019031893 0.0019477941 0.0019665050 0.0018529419 0.0018624290
##  [7851] 0.0018822470 0.0019035003 0.0018550879 0.0017474338 0.0017457685
##  [7856] 0.0017207832 0.0016909038 0.0016488498 0.0016387800 0.0016255656
##  [7861] 0.0016476622 0.0016793732 0.0016437960 0.0016315118 0.0016378412
##  [7866] 0.0017005866 0.0016945173 0.0016227924 0.0016376992 0.0016170953
##  [7871] 0.0016963144 0.0017015297 0.0017034582 0.0016927852 0.0016714089
##  [7876] 0.0016767938 0.0016959547 0.0017330172 0.0017470966 0.0017066419
##  [7881] 0.0016737855 0.0017037954 0.0017036461 0.0017120309 0.0017729928
##  [7886] 0.0018555130 0.0018128561 0.0018991709 0.0018721883 0.0018730538
##  [7891] 0.0018742784 0.0018665825 0.0019268807 0.0019115332 0.0019397110
##  [7896] 0.0019365581 0.0018975215 0.0019457973 0.0018478761 0.0018074032
##  [7901] 0.0017500630 0.0017553678 0.0017539134 0.0016885784 0.0017307222
##  [7906] 0.0016901374 0.0017320663 0.0017505245 0.0017756300 0.0017351669
##  [7911] 0.0017491556 0.0017134956 0.0016375479 0.0016631155 0.0017469599
##  [7916] 0.0017007424 0.0017029719 0.0017220689 0.0017316131 0.0018200524
##  [7921] 0.0018526495 0.0019468493 0.0019729724 0.0019077750 0.0019221460
##  [7926] 0.0018786331 0.0018332076 0.0018308236 0.0018732615 0.0018831203
##  [7931] 0.0019294940 0.0019652479 0.0019667274 0.0018552049 0.0018918320
##  [7936] 0.0019840276 0.0019750802 0.0019111489 0.0018779337 0.0018367917
##  [7941] 0.0018357293 0.0018719439 0.0019137269 0.0019345417 0.0019106575
##  [7946] 0.0019409250 0.0019983325 0.0021063944 0.0020763792 0.0021085373
##  [7951] 0.0021611172 0.0021698923 0.0021925360 0.0022111841 0.0022008872
##  [7956] 0.0022173740 0.0022568326 0.0022732936 0.0022623585 0.0021557705
##  [7961] 0.0021201407 0.0021213240 0.0019890960 0.0020928549 0.0020272361
##  [7966] 0.0019707736 0.0020187977 0.0019218796 0.0019532413 0.0019135923
##  [7971] 0.0019406441 0.0019850592 0.0019608804 0.0019096085 0.0017658079
##  [7976] 0.0017377779 0.0017804472 0.0018112561 0.0018918512 0.0018947681
##  [7981] 0.0019240586 0.0019183511 0.0018854787 0.0019188250 0.0019501933
##  [7986] 0.0019408535 0.0019105706 0.0019103806 0.0019591438 0.0019841889
##  [7991] 0.0019649051 0.0019342583 0.0019526392 0.0019968364 0.0019992646
##  [7996] 0.0020036949 0.0019621991 0.0019510324 0.0018957375 0.0018813521
##  [8001] 0.0022868445 0.0023039740 0.0022775198 0.0023392782 0.0023705667
##  [8006] 0.0023321992 0.0023464025 0.0023776241 0.0023989500 0.0023879805
##  [8011] 0.0024458686 0.0024666493 0.0024320604 0.0023232615 0.0023857288
##  [8016] 0.0023733075 0.0023651523 0.0024340378 0.0024715238 0.0025090266
##  [8021] 0.0025573352 0.0025839279 0.0025869054 0.0024796093 0.0025164561
##  [8026] 0.0025075712 0.0025044425 0.0024280104 0.0023985675 0.0024254098
##  [8031] 0.0024984959 0.0024960146 0.0025166394 0.0025090166 0.0024418544
##  [8036] 0.0024234417 0.0024054690 0.0024202935 0.0024671179 0.0025132595
##  [8041] 0.0025122609 0.0025007835 0.0025301552 0.0025746666 0.0025426768
##  [8046] 0.0025082824 0.0025402658 0.0026004461 0.0025950620 0.0026460818
##  [8051] 0.0026574422 0.0026344935 0.0026272006 0.0025653538 0.0026276221
##  [8056] 0.0027258652 0.0026941338 0.0026429089 0.0026758580 0.0026719994
##  [8061] 0.0027992988 0.0027997118 0.0028336219 0.0028409632 0.0028117916
##  [8066] 0.0028256280 0.0027235573 0.0028017935 0.0028156482 0.0029303834
##  [8071] 0.0029517602 0.0029081676 0.0029446175 0.0028928784 0.0028195603
##  [8076] 0.0028377196 0.0028003774 0.0027953104 0.0028000172 0.0027719361
##  [8081] 0.0027502499 0.0027609687 0.0028254469 0.0027615156 0.0027893095
##  [8086] 0.0028079822 0.0028592167 0.0028316933 0.0028469813 0.0028774750
##  [8091] 0.0028421043 0.0028947116 0.0029586254 0.0029936846 0.0030803319
##  [8096] 0.0031211343 0.0030347612 0.0030095861 0.0029415262 0.0029059478
##  [8101] 0.0028774776 0.0028812838 0.0028280740 0.0028303503 0.0027956576
##  [8106] 0.0028952892 0.0029393498 0.0029823473 0.0030009461 0.0030996150
##  [8111] 0.0030691238 0.0030356791 0.0031076266 0.0030805474 0.0030828930
##  [8116] 0.0030706867 0.0030453873 0.0030224917 0.0030496151 0.0030506935
##  [8121] 0.0030387745 0.0031089514 0.0030889579 0.0030780926 0.0030943396
##  [8126] 0.0031348387 0.0031165845 0.0031178481 0.0030873558 0.0030597167
##  [8131] 0.0030623694 0.0030302670 0.0030574073 0.0029649124 0.0029819763
##  [8136] 0.0029009435 0.0028752635 0.0028560063 0.0028186846 0.0028043522
##  [8141] 0.0027086848 0.0027808829 0.0026987954 0.0026753062 0.0026052722
##  [8146] 0.0025584119 0.0026788176 0.0026894999 0.0026277532 0.0025436795
##  [8151] 0.0025747933 0.0025621263 0.0025458447 0.0025124722 0.0024251478
##  [8156] 0.0023541288 0.0024212137 0.0023871934 0.0023166687 0.0023911937
##  [8161] 0.0024192256 0.0024094994 0.0024601069 0.0025086171 0.0024722471
##  [8166] 0.0025736415 0.0025616142 0.0024810318 0.0024758467 0.0024677223
##  [8171] 0.0025998037 0.0025990213 0.0026324762 0.0026219922 0.0026120255
##  [8176] 0.0026104254 0.0026518569 0.0027736406 0.0028148788 0.0028777119
##  [8181] 0.0028209056 0.0028907610 0.0029131480 0.0028381547 0.0028721703
##  [8186] 0.0028547543 0.0029240602 0.0028801929 0.0028571505 0.0028042461
##  [8191] 0.0028081061 0.0028314078 0.0027868849 0.0028210070 0.0027322016
##  [8196] 0.0026964735 0.0027832232 0.0027508894 0.0027782372 0.0027522198
##  [8201] 0.0027711914 0.0028697093 0.0029219149 0.0029004560 0.0027567802
##  [8206] 0.0028698725 0.0028851531 0.0029229970 0.0029290550 0.0029485915
##  [8211] 0.0029443427 0.0029521063 0.0029405361 0.0028629614 0.0029091637
##  [8216] 0.0030257477 0.0030119350 0.0029595933 0.0030014910 0.0030017508
##  [8221] 0.0029164270 0.0029203249 0.0028845975 0.0028407439 0.0027833221
##  [8226] 0.0028803493 0.0028686516 0.0027822077 0.0027926434 0.0027943563
##  [8231] 0.0027449660 0.0025945295 0.0025612780 0.0025902799 0.0025736613
##  [8236] 0.0025728365 0.0025861495 0.0025361206 0.0025806441 0.0025883328
##  [8241] 0.0026113116 0.0026485929 0.0026716181 0.0026301381 0.0026981771
##  [8246] 0.0025838516 0.0025709425 0.0025613422 0.0025485446 0.0025902422
##  [8251] 0.0026140789 0.0026458740 0.0026398529 0.0026163951 0.0026498623
##  [8256] 0.0026943698 0.0025668847 0.0025952166 0.0026010821 0.0025933149
##  [8261] 0.0026299522 0.0026221932 0.0026265685 0.0026621359 0.0027582436
##  [8266] 0.0027654881 0.0027331807 0.0026648135 0.0026546284 0.0026014570
##  [8271] 0.0025981916 0.0026190125 0.0025869854 0.0027281248 0.0027384263
##  [8276] 0.0027977173 0.0026827635 0.0027413361 0.0026790405 0.0027360898
##  [8281] 0.0027565898 0.0027556550 0.0028193007 0.0027573553 0.0027159369
##  [8286] 0.0026593820 0.0026230228 0.0026543033 0.0026762934 0.0027214218
##  [8291] 0.0027195285 0.0027441765 0.0027711304 0.0026918021 0.0028042588
##  [8296] 0.0028017836 0.0028405597 0.0028956431 0.0028820116 0.0028547916
##  [8301] 0.0029085954 0.0028744442 0.0029753484 0.0029703342 0.0030602631
##  [8306] 0.0031463459 0.0031477611 0.0031880780 0.0031199564 0.0031295584
##  [8311] 0.0031859880 0.0031898736 0.0031721999 0.0031502772 0.0031408172
##  [8316] 0.0032105944 0.0031682039 0.0031584018 0.0030764418 0.0031179907
##  [8321] 0.0031891260 0.0032821801 0.0033543785 0.0032656428 0.0032788314
##  [8326] 0.0033000221 0.0032861867 0.0032989345 0.0032615389 0.0033116259
##  [8331] 0.0032895199 0.0032131104 0.0031873326 0.0032787777 0.0032514609
##  [8336] 0.0032864180 0.0033371537 0.0033551387 0.0033227275 0.0032836565
##  [8341] 0.0033324310 0.0032682071 0.0032775459 0.0032648665 0.0031198739
##  [8346] 0.0030656440 0.0031142076 0.0030975941 0.0031552605 0.0032654775
##  [8351] 0.0033530006 0.0033995015 0.0034231229 0.0034225375 0.0035216471
##  [8356] 0.0035535537 0.0034880729 0.0034720929 0.0033675377 0.0033505260
##  [8361] 0.0031927497 0.0032680013 0.0032316464 0.0032140278 0.0032097826
##  [8366] 0.0032386004 0.0032832612 0.0033225539 0.0032827417 0.0031943016
##  [8371] 0.0031739333 0.0031937747 0.0031435011 0.0031280062 0.0030748812
##  [8376] 0.0030820341 0.0030822110 0.0030958989 0.0031049601 0.0032051036
##  [8381] 0.0032426185 0.0033099591 0.0032602563 0.0032778139 0.0033387772
##  [8386] 0.0033212631 0.0032032405 0.0032202901 0.0031111267 0.0030606354
##  [8391] 0.0031117543 0.0031598216 0.0032190781 0.0032172426 0.0032163714
##  [8396] 0.0031627407 0.0032512555 0.0032765372 0.0032215121 0.0032712644
##  [8401] 0.0033156721 0.0034253654 0.0033913065 0.0033665382 0.0033452673
##  [8406] 0.0033279869 0.0032904092 0.0032695454 0.0033530481 0.0033046970
##  [8411] 0.0032742521 0.0033103898 0.0033938499 0.0033546811 0.0033465358
##  [8416] 0.0033819708 0.0034447028 0.0034547302 0.0033761064 0.0034596760
##  [8421] 0.0035607857 0.0035220320 0.0035205262 0.0034241432 0.0034512751
##  [8426] 0.0035277319 0.0034424396 0.0033998096 0.0033679854 0.0033355037
##  [8431] 0.0032347449 0.0032797963 0.0032031501 0.0032193225 0.0032634571
##  [8436] 0.0032502959 0.0033050742 0.0032941761 0.0032581536 0.0032963015
##  [8441] 0.0032753847 0.0033576347 0.0033451042 0.0033948440 0.0034211626
##  [8446] 0.0032599377 0.0031907377 0.0031689584 0.0031877482 0.0030534090
##  [8451] 0.0031132892 0.0030947914 0.0030554351 0.0029756040 0.0029007932
##  [8456] 0.0028893618 0.0029155830 0.0028257492 0.0027844625 0.0028105123
##  [8461] 0.0028129199 0.0029172675 0.0029827438 0.0030171333 0.0030015030
##  [8466] 0.0030128481 0.0029825324 0.0030156120 0.0030791339 0.0031450137
##  [8471] 0.0031049346 0.0030207085 0.0030022981 0.0030326617 0.0031120618
##  [8476] 0.0030539651 0.0030770229 0.0030890988 0.0031541591 0.0031541745
##  [8481] 0.0031363038 0.0030846467 0.0030712611 0.0030565442 0.0031872067
##  [8486] 0.0033141387 0.0032993775 0.0032493617 0.0031295133 0.0031551210
##  [8491] 0.0030949475 0.0032048207 0.0031520211 0.0031487694 0.0033618108
##  [8496] 0.0033023053 0.0033244411 0.0032800589 0.0032863219 0.0032523123
##  [8501] 0.0032477074 0.0032323623 0.0031664960 0.0031728213 0.0032332439
##  [8506] 0.0033171188 0.0032512630 0.0032482599 0.0033209444 0.0032841688
##  [8511] 0.0031562121 0.0031088611 0.0030528603 0.0030586404 0.0030292955
##  [8516] 0.0030306479 0.0029888854 0.0030148567 0.0030010446 0.0030638866
##  [8521] 0.0030384671 0.0030637643 0.0030136976 0.0030199996 0.0030238714
##  [8526] 0.0029337489 0.0029187912 0.0029798586 0.0030188461 0.0030291691
##  [8531] 0.0029556675 0.0030189978 0.0030222573 0.0030006558 0.0030997356
##  [8536] 0.0030669957 0.0030975684 0.0031676911 0.0031894384 0.0031685052
##  [8541] 0.0031474437 0.0031593384 0.0031948675 0.0031973343 0.0032830411
##  [8546] 0.0032771589 0.0032553511 0.0032866406 0.0031611180 0.0031929883
##  [8551] 0.0032157597 0.0032027971 0.0031291999 0.0031032950 0.0031758275
##  [8556] 0.0031413829 0.0030308981 0.0030735754 0.0030534257 0.0030351433
##  [8561] 0.0029535498 0.0029468675 0.0029791812 0.0029471296 0.0029070753
##  [8566] 0.0029659843 0.0029540740 0.0029525191 0.0029147503 0.0029630336
##  [8571] 0.0029189519 0.0029597025 0.0029985432 0.0029574512 0.0029906068
##  [8576] 0.0030440864 0.0030668402 0.0031742018 0.0030751995 0.0030110805
##  [8581] 0.0029437183 0.0029623187 0.0030400361 0.0031153949 0.0031471431
##  [8586] 0.0031882840 0.0031724548 0.0032013858 0.0032309627 0.0031819339
##  [8591] 0.0031630325 0.0031582227 0.0032168679 0.0031603388 0.0030399432
##  [8596] 0.0030843395 0.0030654707 0.0030354608 0.0030874623 0.0030553748
##  [8601] 0.0030496527 0.0031240638 0.0031432154 0.0031653949 0.0031539576
##  [8606] 0.0030979917 0.0030089600 0.0030024740 0.0031026267 0.0031134561
##  [8611] 0.0031191505 0.0031478753 0.0031245527 0.0030538253 0.0031910757
##  [8616] 0.0031585450 0.0031471716 0.0030466830 0.0030389531 0.0030260486
##  [8621] 0.0030116483 0.0029097187 0.0029960146 0.0030961824 0.0031324739
##  [8626] 0.0030871226 0.0031283497 0.0031141383 0.0031022238 0.0031641711
##  [8631] 0.0031025336 0.0030946027 0.0030587280 0.0030555333 0.0029819126
##  [8636] 0.0029450075 0.0029740213 0.0030079444 0.0029513029 0.0029850401
##  [8641] 0.0028679964 0.0028669909 0.0028916385 0.0028540442 0.0028554173
##  [8646] 0.0027566803 0.0027966855 0.0026957950 0.0026686104 0.0026654104
##  [8651] 0.0026656503 0.0026265766 0.0027199755 0.0026653296 0.0026754263
##  [8656] 0.0025459374 0.0025412687 0.0025729136 0.0025366953 0.0025727208
##  [8661] 0.0025935252 0.0026394309 0.0025772011 0.0025132411 0.0024483751
##  [8666] 0.0024355711 0.0023798442 0.0024080857 0.0024267768 0.0025348287
##  [8671] 0.0024687853 0.0025157101 0.0025024908 0.0024339337 0.0024606516
##  [8676] 0.0023897469 0.0023590332 0.0023194149 0.0023434084 0.0023098147
##  [8681] 0.0023541312 0.0022946183 0.0023181990 0.0023363238 0.0022958337
##  [8686] 0.0022779731 0.0022450823 0.0022994535 0.0023735573 0.0023199733
##  [8691] 0.0023720864 0.0023640863 0.0022772560 0.0022385863 0.0022715499
##  [8696] 0.0022782755 0.0021833760 0.0022077911 0.0022439727 0.0022270978
##  [8701] 0.0021947161 0.0022804817 0.0022741072 0.0022692275 0.0022051828
##  [8706] 0.0021434963 0.0020789342 0.0020591515 0.0021225536 0.0022048676
##  [8711] 0.0023034121 0.0023594830 0.0023505725 0.0023007154 0.0022856579
##  [8716] 0.0021740932 0.0021666490 0.0022441757 0.0022557585 0.0023127867
##  [8721] 0.0023446240 0.0023132670 0.0023911243 0.0023806271 0.0023327502
##  [8726] 0.0023411578 0.0022616489 0.0022958864 0.0023211468 0.0023047880
##  [8731] 0.0022763693 0.0023243928 0.0022724794 0.0022338458 0.0022522935
##  [8736] 0.0022286405 0.0022697741 0.0022456821 0.0023049065 0.0023326843
##  [8741] 0.0022345177 0.0021682782 0.0022289279 0.0022616547 0.0022194155
##  [8746] 0.0021652198 0.0022003965 0.0021494367 0.0022350238 0.0023239025
##  [8751] 0.0022550011 0.0022132961 0.0021638627 0.0021872165 0.0021267202
##  [8756] 0.0020214716 0.0020829662 0.0021281792 0.0021635984 0.0021337201
##  [8761] 0.0021408250 0.0021676000 0.0021074360 0.0021114821 0.0021210369
##  [8766] 0.0022181879 0.0022504474 0.0023059192 0.0023105090 0.0022625571
##  [8771] 0.0022394921 0.0021766497 0.0022113712 0.0022673599 0.0022616833
##  [8776] 0.0022079323 0.0022589279 0.0022720191 0.0022489029 0.0022931265
##  [8781] 0.0022568118 0.0022985473 0.0022543130 0.0022731424 0.0023058872
##  [8786] 0.0022497242 0.0022532742 0.0022525659 0.0022913635 0.0022605218
##  [8791] 0.0022568319 0.0023136677 0.0023258626 0.0023619507 0.0023443769
##  [8796] 0.0022956107 0.0023079793 0.0022587647 0.0021498646 0.0021989388
##  [8801] 0.0021420432 0.0020747139 0.0021080309 0.0021103903 0.0020790988
##  [8806] 0.0020793527 0.0020575393 0.0021016606 0.0021320292 0.0020639899
##  [8811] 0.0020818744 0.0021041238 0.0021410202 0.0020253596 0.0020129005
##  [8816] 0.0020897048 0.0021114878 0.0020363010 0.0019669221 0.0019869274
##  [8821] 0.0019810219 0.0020183785 0.0020326165 0.0020364874 0.0020369913
##  [8826] 0.0020479418 0.0019838741 0.0020926237 0.0020362746 0.0020282894
##  [8831] 0.0019929651 0.0020594571 0.0020949850 0.0020674352 0.0020779720
##  [8836] 0.0021259218 0.0022495556 0.0022561236 0.0022202060 0.0021872402
##  [8841] 0.0022836145 0.0021872708 0.0023267240 0.0023237152 0.0023066225
##  [8846] 0.0023223613 0.0023660686 0.0023863304 0.0022959607 0.0023149908
##  [8851] 0.0023358271 0.0023623438 0.0023178378 0.0021913358 0.0021789175
##  [8856] 0.0021361173 0.0020900441 0.0020596723 0.0020432461 0.0020389505
##  [8861] 0.0020790634 0.0021258566 0.0020883502 0.0020744823 0.0021065256
##  [8866] 0.0021591913 0.0021730534 0.0021059367 0.0021251918 0.0021316699
##  [8871] 0.0022085386 0.0022175674 0.0021864300 0.0021557901 0.0021247510
##  [8876] 0.0021253151 0.0021437753 0.0021826786 0.0021952172 0.0021900428
##  [8881] 0.0021524579 0.0021664586 0.0021644389 0.0021848445 0.0022340232
##  [8886] 0.0023117519 0.0022778459 0.0023493419 0.0023101926 0.0023214248
##  [8891] 0.0023288667 0.0023108449 0.0023707760 0.0023263019 0.0023585147
##  [8896] 0.0023431607 0.0023051671 0.0023573093 0.0022550290 0.0022455506
##  [8901] 0.0021859566 0.0021937210 0.0022079184 0.0021660729 0.0022022848
##  [8906] 0.0021621325 0.0021842351 0.0021982522 0.0022292830 0.0021770671
##  [8911] 0.0021739309 0.0021447772 0.0020699597 0.0020708503 0.0021416987
##  [8916] 0.0021033047 0.0020873686 0.0021152155 0.0021238676 0.0021988777
##  [8921] 0.0022332246 0.0023268513 0.0023340455 0.0022748618 0.0022721567
##  [8926] 0.0022034809 0.0021563562 0.0021488660 0.0021914621 0.0021987794
##  [8931] 0.0022273214 0.0022771082 0.0022678620 0.0021521701 0.0021838743
##  [8936] 0.0022798859 0.0022738331 0.0022274842 0.0022105659 0.0021490355
##  [8941] 0.0021527777 0.0021851810 0.0022405968 0.0022716617 0.0022452040
##  [8946] 0.0022677934 0.0023355550 0.0024392570 0.0024211693 0.0024485659
##  [8951] 0.0024909032 0.0024917495 0.0025207876 0.0025333289 0.0025145509
##  [8956] 0.0025201775 0.0025844252 0.0026036373 0.0025887018 0.0024832491
##  [8961] 0.0024442938 0.0024406840 0.0023192269 0.0024299420 0.0023532750
##  [8966] 0.0023044097 0.0023727910 0.0022553280 0.0022908288 0.0022626796
##  [8971] 0.0022856030 0.0023148435 0.0022588376 0.0022233317 0.0020926908
##  [8976] 0.0020449354 0.0020574859 0.0020863239 0.0021797929 0.0021881330
##  [8981] 0.0022167318 0.0022182141 0.0021947321 0.0022340760 0.0022577334
##  [8986] 0.0022567884 0.0022163752 0.0021977047 0.0022393647 0.0022591574
##  [8991] 0.0022447568 0.0022078094 0.0022292188 0.0022770012 0.0022936928
##  [8996] 0.0022880966 0.0022460500 0.0022000890 0.0021315206 0.0020762864
##  [9001] 0.0024955491 0.0025133180 0.0024718785 0.0025435003 0.0025536399
##  [9006] 0.0025017577 0.0025391131 0.0025625884 0.0026058548 0.0025885474
##  [9011] 0.0026599049 0.0026708629 0.0026421374 0.0025315140 0.0025760871
##  [9016] 0.0025723865 0.0025505467 0.0025852754 0.0026236911 0.0026597764
##  [9021] 0.0027134092 0.0027406176 0.0027398091 0.0026367277 0.0026552664
##  [9026] 0.0026520005 0.0026512436 0.0025807744 0.0025551287 0.0025821399
##  [9031] 0.0026486961 0.0026315470 0.0026658239 0.0026693187 0.0026031066
##  [9036] 0.0025795132 0.0025637725 0.0025521986 0.0025977307 0.0026410166
##  [9041] 0.0026298013 0.0026133615 0.0026562410 0.0026875238 0.0026441923
##  [9046] 0.0025967725 0.0026053702 0.0026521904 0.0026633956 0.0027036335
##  [9051] 0.0027279999 0.0027012042 0.0027160694 0.0026561693 0.0027436726
##  [9056] 0.0028620492 0.0028397418 0.0027735042 0.0028084925 0.0028154206
##  [9061] 0.0029327911 0.0029343032 0.0029750891 0.0029893595 0.0029495552
##  [9066] 0.0029657815 0.0028680446 0.0029490741 0.0029558314 0.0030637989
##  [9071] 0.0030887426 0.0030573820 0.0030942746 0.0030595768 0.0029884974
##  [9076] 0.0030069510 0.0029800744 0.0029826676 0.0029742532 0.0029453838
##  [9081] 0.0029085626 0.0029053726 0.0029507900 0.0028566694 0.0029039199
##  [9086] 0.0029045717 0.0029587934 0.0029484339 0.0029670892 0.0029771673
##  [9091] 0.0029601148 0.0030308139 0.0030929596 0.0031312701 0.0032259626
##  [9096] 0.0032630297 0.0032036792 0.0031762947 0.0031074714 0.0030802480
##  [9101] 0.0030365510 0.0030267300 0.0029930044 0.0030006899 0.0029665535
##  [9106] 0.0030556609 0.0030735995 0.0031242277 0.0031421298 0.0032379460
##  [9111] 0.0032066401 0.0031820457 0.0032717620 0.0032229631 0.0032196891
##  [9116] 0.0032105162 0.0031986486 0.0031820223 0.0032099653 0.0031999468
##  [9121] 0.0031677409 0.0032493736 0.0032488960 0.0032562354 0.0032533525
##  [9126] 0.0032918418 0.0032968086 0.0032919511 0.0032617099 0.0032434738
##  [9131] 0.0032437900 0.0031970101 0.0032238451 0.0031354386 0.0031622358
##  [9136] 0.0030897463 0.0030691510 0.0030383031 0.0029948328 0.0029889353
##  [9141] 0.0028900576 0.0029381089 0.0028504458 0.0028325085 0.0027637855
##  [9146] 0.0027352096 0.0028336719 0.0028440359 0.0027726021 0.0026959841
##  [9151] 0.0027329467 0.0027226922 0.0027046209 0.0026524636 0.0025770370
##  [9156] 0.0025400341 0.0025706932 0.0025363866 0.0024585081 0.0025548319
##  [9161] 0.0025635983 0.0025562462 0.0026222330 0.0026555033 0.0026349826
##  [9166] 0.0027396564 0.0027301882 0.0026517154 0.0026474464 0.0026485684
##  [9171] 0.0027707826 0.0027842115 0.0028096610 0.0028076373 0.0027892779
##  [9176] 0.0027991657 0.0028400396 0.0029424962 0.0029968881 0.0030463871
##  [9181] 0.0029747496 0.0030265971 0.0030319276 0.0029597565 0.0030078899
##  [9186] 0.0029852875 0.0030725664 0.0030373190 0.0030137842 0.0029560737
##  [9191] 0.0029379584 0.0029620755 0.0029224774 0.0029618263 0.0029070465
##  [9196] 0.0028402291 0.0029201004 0.0028548005 0.0028837348 0.0028812017
##  [9201] 0.0029093865 0.0029988465 0.0030560506 0.0030420708 0.0029277822
##  [9206] 0.0030857537 0.0031287122 0.0031567523 0.0031494297 0.0031835297
##  [9211] 0.0031578687 0.0031819858 0.0031599419 0.0030759861 0.0031424394
##  [9216] 0.0032042975 0.0031889736 0.0031237657 0.0031667550 0.0031564127
##  [9221] 0.0030606786 0.0030662807 0.0030431682 0.0030188210 0.0029496490
##  [9226] 0.0030530671 0.0030233079 0.0029317394 0.0029285446 0.0029382466
##  [9231] 0.0028830830 0.0027399238 0.0027081188 0.0027329938 0.0027370513
##  [9236] 0.0027289801 0.0027554221 0.0027096051 0.0027608335 0.0027701454
##  [9241] 0.0028025468 0.0028670676 0.0028845668 0.0028346095 0.0028983647
##  [9246] 0.0027799507 0.0027504594 0.0027377562 0.0027470132 0.0028042618
##  [9251] 0.0028101997 0.0028426612 0.0028400301 0.0028321727 0.0028600626
##  [9256] 0.0029015331 0.0027844127 0.0028107310 0.0028300110 0.0028091186
##  [9261] 0.0028430731 0.0028194635 0.0027939660 0.0028534981 0.0029224770
##  [9266] 0.0029438554 0.0029309616 0.0028617027 0.0028424015 0.0027806382
##  [9271] 0.0027623173 0.0027722027 0.0027293495 0.0028648867 0.0028758514
##  [9276] 0.0029270313 0.0028120552 0.0028491019 0.0027719201 0.0028010710
##  [9281] 0.0028281581 0.0028125954 0.0028804366 0.0028326425 0.0027854727
##  [9286] 0.0027327349 0.0026930672 0.0027377195 0.0027537183 0.0028171851
##  [9291] 0.0027980912 0.0028377720 0.0028619171 0.0027931671 0.0028846421
##  [9296] 0.0028895029 0.0029455755 0.0029887110 0.0029923980 0.0029711418
##  [9301] 0.0030246879 0.0029640608 0.0030758955 0.0030586286 0.0031531016
##  [9306] 0.0032186011 0.0032405471 0.0032507058 0.0031950807 0.0032196782
##  [9311] 0.0032903901 0.0032923474 0.0032713073 0.0032169968 0.0032250650
##  [9316] 0.0032705131 0.0032407754 0.0032250636 0.0031461256 0.0031720510
##  [9321] 0.0032488394 0.0033234825 0.0033522075 0.0032498484 0.0032874811
##  [9326] 0.0033178411 0.0033024386 0.0033210142 0.0032806178 0.0033070205
##  [9331] 0.0032905862 0.0032057664 0.0031866539 0.0032722694 0.0032500961
##  [9336] 0.0032802300 0.0033402638 0.0033386712 0.0033212185 0.0032855920
##  [9341] 0.0033200063 0.0032476202 0.0032582283 0.0032433160 0.0031225946
##  [9346] 0.0030492432 0.0030962610 0.0030850770 0.0031440005 0.0032503251
##  [9351] 0.0033317820 0.0033702823 0.0033963749 0.0033858218 0.0034885756
##  [9356] 0.0035152583 0.0034457626 0.0034364526 0.0033227909 0.0033180286
##  [9361] 0.0031729755 0.0032454417 0.0032164619 0.0031866434 0.0031635960
##  [9366] 0.0032000150 0.0032334379 0.0032725608 0.0032465221 0.0031820640
##  [9371] 0.0031534081 0.0031860376 0.0031537265 0.0031499340 0.0030923096
##  [9376] 0.0031068042 0.0031106656 0.0031145082 0.0031057445 0.0032165460
##  [9381] 0.0032601184 0.0033313542 0.0032891320 0.0033128563 0.0033643304
##  [9386] 0.0033632247 0.0032576069 0.0032763909 0.0031667781 0.0031209994
##  [9391] 0.0031975264 0.0032277098 0.0032861657 0.0033019475 0.0033058414
##  [9396] 0.0032477435 0.0033126318 0.0033280896 0.0032934919 0.0033494072
##  [9401] 0.0033994119 0.0035049873 0.0034779672 0.0034567131 0.0034449747
##  [9406] 0.0034229289 0.0034059238 0.0033860546 0.0034584739 0.0034190763
##  [9411] 0.0033856406 0.0034078913 0.0034655817 0.0034276555 0.0033781423
##  [9416] 0.0034315327 0.0035007735 0.0034975941 0.0034243729 0.0035248306
##  [9421] 0.0036076237 0.0035514852 0.0035481874 0.0034388949 0.0034654711
##  [9426] 0.0035595288 0.0034648062 0.0034295610 0.0033827607 0.0033396085
##  [9431] 0.0032476031 0.0032656194 0.0031558552 0.0031512439 0.0031924338
##  [9436] 0.0031779051 0.0032207682 0.0032227634 0.0031890991 0.0032311422
##  [9441] 0.0032108863 0.0033089047 0.0033306661 0.0033803621 0.0033870735
##  [9446] 0.0032186178 0.0031428809 0.0031217002 0.0031114824 0.0029761298
##  [9451] 0.0030288993 0.0030089395 0.0029672116 0.0028822281 0.0028234251
##  [9456] 0.0028353170 0.0028526880 0.0027512193 0.0026941049 0.0027071687
##  [9461] 0.0026941168 0.0028062252 0.0028505075 0.0028813887 0.0028992697
##  [9466] 0.0029158673 0.0028787016 0.0029270852 0.0029976301 0.0030373698
##  [9471] 0.0030019241 0.0029166014 0.0029177716 0.0029415296 0.0030009906
##  [9476] 0.0029317172 0.0029371400 0.0029463487 0.0030090316 0.0030034179
##  [9481] 0.0029810844 0.0029128570 0.0028828723 0.0028665086 0.0029887614
##  [9486] 0.0031083048 0.0030931538 0.0030412645 0.0029227693 0.0029715032
##  [9491] 0.0029191707 0.0030252395 0.0029729346 0.0029881782 0.0031768780
##  [9496] 0.0031181858 0.0031328292 0.0030830999 0.0030909903 0.0030477251
##  [9501] 0.0030396780 0.0030373210 0.0029714729 0.0029742000 0.0030268761
##  [9506] 0.0030988651 0.0030264105 0.0030203903 0.0030926877 0.0030298371
##  [9511] 0.0028908172 0.0028491803 0.0027995543 0.0027986737 0.0027868820
##  [9516] 0.0028097971 0.0028025687 0.0028114470 0.0027770003 0.0028396806
##  [9521] 0.0028105872 0.0028357141 0.0027875026 0.0027840228 0.0027921629
##  [9526] 0.0027037137 0.0026927303 0.0027327674 0.0027702615 0.0027610677
##  [9531] 0.0026973457 0.0027516673 0.0027488082 0.0027181238 0.0027960697
##  [9536] 0.0027672493 0.0028010684 0.0028642460 0.0029166346 0.0029120463
##  [9541] 0.0029103891 0.0029415765 0.0029663592 0.0029600682 0.0030352745
##  [9546] 0.0030175760 0.0029780222 0.0030118070 0.0028982693 0.0029441244
##  [9551] 0.0029662197 0.0029507343 0.0029047060 0.0028726392 0.0029519149
##  [9556] 0.0029292954 0.0028172706 0.0028450541 0.0028157166 0.0027900411
##  [9561] 0.0027283798 0.0027163287 0.0027487067 0.0027158126 0.0026823640
##  [9566] 0.0027330122 0.0027231242 0.0027202056 0.0026861671 0.0027225603
##  [9571] 0.0026622414 0.0027007221 0.0027303788 0.0027039884 0.0027505686
##  [9576] 0.0028093409 0.0028368286 0.0029494551 0.0028487502 0.0028000003
##  [9581] 0.0027294100 0.0027331035 0.0028188369 0.0029016417 0.0029305093
##  [9586] 0.0029797061 0.0029664694 0.0030003947 0.0030204782 0.0029806294
##  [9591] 0.0029510228 0.0029433308 0.0030159287 0.0029644550 0.0028551799
##  [9596] 0.0029001762 0.0028637668 0.0028289923 0.0028725272 0.0028118271
##  [9601] 0.0027836294 0.0028712782 0.0029102645 0.0029319255 0.0029349495
##  [9606] 0.0028827701 0.0028038230 0.0027931948 0.0029009584 0.0029034628
##  [9611] 0.0029031609 0.0028912143 0.0028681247 0.0028195004 0.0029697944
##  [9616] 0.0029461970 0.0029268200 0.0028428135 0.0028264950 0.0028262416
##  [9621] 0.0028056791 0.0027184592 0.0028117290 0.0029051503 0.0029425196
##  [9626] 0.0028920615 0.0029269547 0.0029193731 0.0028996019 0.0029722763
##  [9631] 0.0029009774 0.0028748611 0.0028428166 0.0028478349 0.0027701736
##  [9636] 0.0027486722 0.0027828490 0.0028064945 0.0027457459 0.0027848642
##  [9641] 0.0026753275 0.0026636347 0.0027088675 0.0026839901 0.0026943399
##  [9646] 0.0026093190 0.0026604776 0.0025657233 0.0025405645 0.0025185358
##  [9651] 0.0025312957 0.0024837731 0.0025767107 0.0025240647 0.0025372721
##  [9656] 0.0023719316 0.0023644310 0.0023907151 0.0023272413 0.0023547597
##  [9661] 0.0023924113 0.0024422639 0.0023956006 0.0023346901 0.0022359255
##  [9666] 0.0022192777 0.0021487818 0.0021865335 0.0021777318 0.0022685435
##  [9671] 0.0022261483 0.0022737162 0.0022500670 0.0021779427 0.0022138342
##  [9676] 0.0021436974 0.0020939044 0.0020615781 0.0020727352 0.0020265299
##  [9681] 0.0020628271 0.0020073609 0.0020157452 0.0020085646 0.0019504987
##  [9686] 0.0019200129 0.0019018184 0.0019322345 0.0020238392 0.0019735570
##  [9691] 0.0020081600 0.0019925638 0.0019092694 0.0018872744 0.0019023547
##  [9696] 0.0019079970 0.0018177207 0.0018322534 0.0018708395 0.0018773531
##  [9701] 0.0018389152 0.0019378242 0.0019363878 0.0019405522 0.0019045596
##  [9706] 0.0018421418 0.0017748301 0.0017631857 0.0018287658 0.0018966487
##  [9711] 0.0019688051 0.0020255675 0.0020255555 0.0019618720 0.0019383860
##  [9716] 0.0018380922 0.0018152326 0.0018955612 0.0018950403 0.0019328117
##  [9721] 0.0019622427 0.0019229543 0.0020063365 0.0019957819 0.0019484813
##  [9726] 0.0019507803 0.0018681291 0.0018892537 0.0019146066 0.0018977590
##  [9731] 0.0018629781 0.0019068643 0.0018639033 0.0018241717 0.0018319538
##  [9736] 0.0018131804 0.0018429503 0.0018210261 0.0018813476 0.0018977217
##  [9741] 0.0017972432 0.0017329758 0.0018087086 0.0018376092 0.0017974418
##  [9746] 0.0017424946 0.0017967982 0.0017714039 0.0018474628 0.0019222734
##  [9751] 0.0018430976 0.0018148763 0.0017646548 0.0017836456 0.0017178588
##  [9756] 0.0016131361 0.0017009513 0.0017377774 0.0017965235 0.0017679009
##  [9761] 0.0017551924 0.0017964739 0.0017265700 0.0017248359 0.0017219819
##  [9766] 0.0017749055 0.0017998092 0.0018533910 0.0018481075 0.0017883419
##  [9771] 0.0017885676 0.0017015972 0.0017355793 0.0018073008 0.0017928309
##  [9776] 0.0017541211 0.0018343630 0.0018308938 0.0018109866 0.0018577967
##  [9781] 0.0018312358 0.0018958961 0.0018557299 0.0018599753 0.0019138061
##  [9786] 0.0018524220 0.0018892270 0.0018899119 0.0019245447 0.0018918069
##  [9791] 0.0018823054 0.0019469178 0.0019559678 0.0020024958 0.0019965040
##  [9796] 0.0019509047 0.0019654803 0.0019246202 0.0017963418 0.0018529545
##  [9801] 0.0018141031 0.0017447655 0.0017999964 0.0017893736 0.0017721510
##  [9806] 0.0017552218 0.0017218343 0.0017663353 0.0018081572 0.0017326104
##  [9811] 0.0017430826 0.0017790128 0.0018284429 0.0017273776 0.0017163394
##  [9816] 0.0017920344 0.0018379665 0.0017639922 0.0016851986 0.0017168809
##  [9821] 0.0017085928 0.0017419713 0.0017565148 0.0017737994 0.0017823407
##  [9826] 0.0017969001 0.0017476378 0.0018592835 0.0017901185 0.0018037968
##  [9831] 0.0017798296 0.0018604025 0.0019074194 0.0018749752 0.0018816401
##  [9836] 0.0019229842 0.0020117082 0.0020222310 0.0019853559 0.0019535650
##  [9841] 0.0020490401 0.0019482173 0.0020866082 0.0020918270 0.0020690143
##  [9846] 0.0020761585 0.0021019908 0.0021297783 0.0020553132 0.0020660515
##  [9851] 0.0020896356 0.0021266697 0.0020610749 0.0019331752 0.0019063165
##  [9856] 0.0018550676 0.0018250028 0.0017746871 0.0017611340 0.0017558714
##  [9861] 0.0017914832 0.0018384986 0.0017998770 0.0017862209 0.0018055183
##  [9866] 0.0018574181 0.0018530041 0.0017732929 0.0017882719 0.0017739874
##  [9871] 0.0018535384 0.0018642949 0.0018385569 0.0018237795 0.0018128935
##  [9876] 0.0018343459 0.0018209427 0.0018680986 0.0018880888 0.0018626811
##  [9881] 0.0018221711 0.0018528215 0.0018467204 0.0018482898 0.0019196644
##  [9886] 0.0019874747 0.0019583939 0.0020261482 0.0019965865 0.0020119188
##  [9891] 0.0020363598 0.0020132782 0.0020795306 0.0020371876 0.0020604951
##  [9896] 0.0020604120 0.0020241847 0.0020764146 0.0019915145 0.0019643172
##  [9901] 0.0018891045 0.0018924365 0.0019107060 0.0018490840 0.0018693393
##  [9906] 0.0018095575 0.0018473485 0.0018485999 0.0018829586 0.0018325170
##  [9911] 0.0018371254 0.0018145792 0.0017595378 0.0017576252 0.0018506754
##  [9916] 0.0018159786 0.0018079516 0.0018523571 0.0018714862 0.0019803971
##  [9921] 0.0020058636 0.0021163914 0.0021224486 0.0020796809 0.0020954504
##  [9926] 0.0020581563 0.0020164934 0.0020023747 0.0020315247 0.0020423203
##  [9931] 0.0020805938 0.0021134185 0.0021060410 0.0019955839 0.0020297642
##  [9936] 0.0021287594 0.0021313695 0.0020750262 0.0020615171 0.0020246075
##  [9941] 0.0020202778 0.0020524767 0.0020802900 0.0020890791 0.0020431399
##  [9946] 0.0020856910 0.0021564130 0.0022523635 0.0022131464 0.0022235751
##  [9951] 0.0022774358 0.0022772066 0.0023116879 0.0023165188 0.0023149072
##  [9956] 0.0023217700 0.0023707069 0.0024017289 0.0023848113 0.0022860789
##  [9961] 0.0022572702 0.0022743312 0.0021558327 0.0022625473 0.0021866267
##  [9966] 0.0021247250 0.0021852490 0.0020994848 0.0021348545 0.0021054298
##  [9971] 0.0021344902 0.0021861573 0.0021323323 0.0021048854 0.0019614423
##  [9976] 0.0019303896 0.0019509567 0.0019598148 0.0020427344 0.0020365195
##  [9981] 0.0020672275 0.0020709627 0.0020414794 0.0020796673 0.0021142897
##  [9986] 0.0021182322 0.0020811341 0.0020888651 0.0021341990 0.0021748207
##  [9991] 0.0021425874 0.0021118297 0.0021402218 0.0021896123 0.0021934357
##  [9996] 0.0021698458 0.0021247328 0.0021006641 0.0020239872 0.0019897885

Bài Tập Tuần 5

Xây dựng mô hình nghiên cứu

Dữ liệu nghiên cứu

  • Mô phỏng lợi nhuận của một danh mục đầu tư của 5 loại cổ phiếu và 1 tỷ giá. Dữ liệu được thu nhập từ giá đóng cửa của các biến từ 4/1/2022 đến 30/6/2023 là 370 quan sát.

  • Danh mục đầu tư bao gồm :

  • BID: giá cổ phiếu ngân hàng BIDV trong 1 ngày

  • AGG : giá cỏ phiếu bất động sản An Gia trong 1 ngày

  • SSI : giá Cổ phiếu công ty chứng khoán SSI trong 1 ngày

  • MSFT : giá Cổ phiếu nước ngoài Microsoft trong 1 ngày

  • USD : Tỷ giá USD/VND trong 1 ngày

  • FPT : giá Cổ phiếu cổ phần công ty FPT trong 1 ngày

Tỷ suất lợi nhuận đầu tư cổ phiếu như sau: \(R_t =\frac{P_t - P_{t-1}}{P_{t-1}}\)

Lợi nhuận của danh mục đầu tư:

\(E_p(R)= \sum W_j R_j\)

  • \(W_j\) : Tỷ trọng của cổ phiếu j
  • $R_j : Tỷ suất của cổ phiếu j

Mô hình nghiên cứu

Lợi nhuận trong danh mục:

\(E(R)= \beta_0 + \beta_1 E(BID) + \beta_2E(AGG)+ \beta_3E(SSI)+\beta_4E(MSFT)+\beta_5E(USD)+\beta_6E(FPT))\)

  • E(BID): Lợi nhuận của cổ phiếu ngân hàng BIDV

  • E(AGG): Lợi nhuận của cổ phiếu bất động sản An Gia

  • E(SSI) : Lợi nhuận Cổ phiếu công ty chứng khoán SSI

  • E(MSFT) : Lợi nhuận Cổ phiếu nước ngoài Microsoft

  • E(USD) : Lợi nhuận Tỷ giá USD/VND

  • E(FPT) : Lợi nhuận Cổ phiếu cổ phần công ty FPT

model <- lm(d$E ~ d$EBID + d$EAGG + d$ESSI + d$EMSFT + d$EUSD + d$EFPT)
summary(model)
## Warning in summary.lm(model): essentially perfect fit: summary may be
## unreliable
## 
## Call:
## lm(formula = d$E ~ d$EBID + d$EAGG + d$ESSI + d$EMSFT + d$EUSD + 
##     d$EFPT)
## 
## Residuals:
##        Min         1Q     Median         3Q        Max 
## -1.670e-17 -1.815e-18 -5.550e-19  9.840e-19  1.350e-16 
## 
## Coefficients:
##               Estimate Std. Error    t value Pr(>|t|)    
## (Intercept) -5.411e-19  4.507e-19 -1.201e+00    0.231    
## d$EBID       1.000e+00  1.148e-16  8.711e+15   <2e-16 ***
## d$EAGG       1.000e+00  1.100e-16  9.090e+15   <2e-16 ***
## d$ESSI       1.000e+00  7.072e-17  1.414e+16   <2e-16 ***
## d$EMSFT      1.000e+00  2.130e-16  4.695e+15   <2e-16 ***
## d$EUSD       1.000e+00  8.091e-16  1.236e+15   <2e-16 ***
## d$EFPT       1.000e+00  1.999e-16  5.001e+15   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 8.63e-18 on 363 degrees of freedom
## Multiple R-squared:      1,  Adjusted R-squared:      1 
## F-statistic: 2.413e+33 on 6 and 363 DF,  p-value: < 2.2e-16

E = -1.308e-18 + 1.000e+00EBID + 1.000e+00EAGG + 1.000e+00ESSI + 1.000e+00EMSFT + 1.000e+00EUSD + 1.000e+00EFPT

3 BÀi TẬP TUẦN 3

Xác định phân phối của các biến đầu vào.

summary(d)
##      Ngày                BID             AGG             MSFT      
##  Length:370         Min.   :28500   Min.   :27500   Min.   :214.2  
##  Class :character   1st Qu.:35800   1st Qu.:29280   1st Qu.:249.2  
##  Mode  :character   Median :40625   Median :32727   Median :270.1  
##                     Mean   :40118   Mean   :33309   Mean   :273.2  
##                     3rd Qu.:44388   3rd Qu.:34818   3rd Qu.:295.0  
##                     Max.   :49000   Max.   :47545   Max.   :348.1  
##       USD             SSI             FPT             EBID           
##  Min.   :22625   Min.   :13900   Min.   :65900   Min.   :-0.2000000  
##  1st Qu.:23172   1st Qu.:19500   1st Qu.:77000   1st Qu.:-0.0021692  
##  Median :23448   Median :21800   Median :80500   Median : 0.0000000  
##  Mean   :23456   Mean   :24804   Mean   :80917   Mean   :-0.0003992  
##  3rd Qu.:23590   3rd Qu.:25997   3rd Qu.:84480   3rd Qu.: 0.0025458  
##  Max.   :24871   Max.   :47092   Max.   :96050   Max.   : 0.0139752  
##       EAGG               EMSFT                 EUSD           
##  Min.   :-0.250000   Min.   :-1.000e-01   Min.   :-5.000e-02  
##  1st Qu.:-0.001310   1st Qu.:-1.293e-03   1st Qu.:-2.119e-05  
##  Median : 0.000000   Median :-9.963e-05   Median : 0.000e+00  
##  Mean   :-0.000808   Mean   :-2.479e-04   Mean   :-1.302e-04  
##  3rd Qu.: 0.000446   3rd Qu.: 1.285e-03   3rd Qu.: 3.190e-05  
##  Max.   : 0.017472   Max.   : 8.227e-03   Max.   : 5.911e-04  
##       ESSI                 EFPT                  E             
##  Min.   :-0.2500000   Min.   :-0.1500000   Min.   :-1.0000000  
##  1st Qu.:-0.0045098   1st Qu.:-0.0009271   1st Qu.:-0.0068859  
##  Median : 0.0000000   Median : 0.0000000   Median : 0.0002365  
##  Mean   :-0.0009532   Mean   :-0.0003362   Mean   :-0.0028747  
##  3rd Qu.: 0.0039370   3rd Qu.: 0.0011208   3rd Qu.: 0.0077309  
##  Max.   : 0.0221385   Max.   : 0.0104606   Max.   : 0.0491909

3.1 Biến BID

Đồ thị

hist(d$EBID)

Kiểm Định Phân Phối

Kiểm định Shapiro-Wilk Test

shapiro.test(d$EBID)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$EBID
## W = 0.32, p-value < 2.2e-16

Với p-value < 5% -> Biến EBID không tuân theo phân phối chuẩn

ks.test(d$EBID, "plnorm", meanlog = mean(log(d$EBID)), sdlog = sd(log(d$EBID)))
## Warning in ks.test.default(d$EBID, "plnorm", meanlog = mean(log(d$EBID)), :
## ties should not be present for the Kolmogorov-Smirnov test
## Warning in log(d$EBID): NaNs produced

## Warning in log(d$EBID): NaNs produced
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EBID
## D = NA, p-value = NA
## alternative hypothesis: two-sided

Kiểm định phân phối mũ

ks.test(d$EBID, "plnorm", meanlog = mean(log(d$EBID)), sdlog = sd(log(d$EBID)))
## Warning in ks.test.default(d$EBID, "plnorm", meanlog = mean(log(d$EBID)), :
## ties should not be present for the Kolmogorov-Smirnov test
## Warning in log(d$EBID): NaNs produced

## Warning in log(d$EBID): NaNs produced
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EBID
## D = NA, p-value = NA
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến BID không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$EBID, y = 'punif')
## Warning in ks.test.default(d$EBID, y = "punif"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EBID
## D = 0.98602, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến BID không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$EBID, y = 'plnorm')
## Warning in ks.test.default(d$EBID, y = "plnorm"): ties should not be present
## for the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EBID
## D = 0.99999, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến BID không tuân theo phân phối loga chuẩn

3.2 Biến AGG

Đồ thị

hist(d$EAGG)

Kiểm Định Phân Phối

Kiểm định Shapiro-Wilk Test

shapiro.test(d$EAGG)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$EAGG
## W = 0.1857, p-value < 2.2e-16

Với p-value< 5% -> Biến EAGG không tuân theo phân phối chuẩn

Kiểm định phân phối mũ

ks.test(d$EAGG, y = 'pexp')
## Warning in ks.test.default(d$EAGG, y = "pexp"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EAGG
## D = 0.98268, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EAGG không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$EAGG, y = 'punif')
## Warning in ks.test.default(d$EAGG, y = "punif"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EAGG
## D = 0.98253, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EAGG không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$EAGG, y = 'plnorm')
## Warning in ks.test.default(d$EAGG, y = "plnorm"): ties should not be present
## for the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EAGG
## D = 0.99997, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EAGG không tuân theo phân phối loga chuẩn

3.3 Biến SSI

Đồ thị

hist(d$ESSI)

Kiểm Định Phân Phối

Kiểm định Shapiro-Wilk Test

shapiro.test(d$ESSI)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$ESSI
## W = 0.42483, p-value < 2.2e-16

Với p-value< 5% -> Biến ESSI không tuân theo phân phối chuẩn Kiểm định phân phối mũ

ks.test(d$ESSI, y = 'pexp')
## Warning in ks.test.default(d$ESSI, y = "pexp"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$ESSI
## D = 0.98009, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến ESSI không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$ESSI, y = 'punif')
## Warning in ks.test.default(d$ESSI, y = "punif"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$ESSI
## D = 0.97995, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến ESSI không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$ESSI, y = 'plnorm')
## Warning in ks.test.default(d$ESSI, y = "plnorm"): ties should not be present
## for the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$ESSI
## D = 0.99993, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến ESSI không tuân theo phân phối loga chuẩn

3.4 Biến MSFT

Đồ thị

hist(d$EMSFT)

Kiểm Định Phân Phối

Kiểm định Shapiro-Wilk Test

shapiro.test(d$EMSFT)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$EMSFT
## W = 0.271, p-value < 2.2e-16

Với p-value< 5% -> Biến EMSFT không tuân theo phân phối chuẩn

Kiểm định phân phối mũ

ks.test(d$EMSFT, y = 'pexp')
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EMSFT
## D = 0.99181, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EMSFT không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$EMSFT, y = 'punif')
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EMSFT
## D = 0.99177, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EMSFT không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$EMSFT, y = 'plnorm')
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EMSFT
## D = 1, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EMSFT không tuân theo phân phối loga chuẩn

3.5 Biến USD/VND

Đồ thị

hist(d$EUSD)

Kiểm Định Phân Phối

Kiểm định Shapiro-Wilk Test

shapiro.test(d$EUSD)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$EUSD
## W = 0.037738, p-value < 2.2e-16

Với p-value< 5% -> Biến EUSD không tuân theo phân phối chuẩn

Kiểm định phân phối mũ

ks.test(d$EUSD, y = 'pexp')
## Warning in ks.test.default(d$EUSD, y = "pexp"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EUSD
## D = 0.99941, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EUSD không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$EUSD, y = 'punif')
## Warning in ks.test.default(d$EUSD, y = "punif"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EUSD
## D = 0.99941, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EUSD không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$EUSD, y = 'plnorm')
## Warning in ks.test.default(d$EUSD, y = "plnorm"): ties should not be present
## for the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EUSD
## D = 1, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EUSD không tuân theo phân phối loga chuẩn

3.6 Biến FPT

Đồ thị

hist(d$EFPT)

Kiểm Định Phân Phối Chuẩn

Kiểm định Shapiro-Wilk Test

shapiro.test(d$EFPT)
## 
##  Shapiro-Wilk normality test
## 
## data:  d$EFPT
## W = 0.21464, p-value < 2.2e-16

Với p-value< 1% -> Biến EFPT không tuân theo phân phối chuẩn Kiểm định phân phối mũ

ks.test(d$EFPT, y = 'pexp')
## Warning in ks.test.default(d$EFPT, y = "pexp"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EFPT
## D = 0.98959, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EFPT không tuân theo phân phối mũ

Kiểm định phân phối đều

ks.test(d$EFPT, y = 'punif')
## Warning in ks.test.default(d$EFPT, y = "punif"): ties should not be present for
## the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EFPT
## D = 0.98954, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EFPT không tuân theo phân phối đều

Kiểm định phân phối loga chuẩn

ks.test(d$EFPT, y = 'plnorm')
## Warning in ks.test.default(d$EFPT, y = "plnorm"): ties should not be present
## for the Kolmogorov-Smirnov test
## 
##  Asymptotic one-sample Kolmogorov-Smirnov test
## 
## data:  d$EFPT
## D = 1, p-value < 2.2e-16
## alternative hypothesis: two-sided

Với p-value < 5% -> Biến EFPT không tuân theo phân phối loga chuẩn

2 BÀi TẬP TUẦN 2

Mô Phỏng Lợi Nhuận Của Một Doanh Mục Đầu Tư

Danh mục đầu tư (Investment Portfolio) là sự kết hợp các loại tài sản khác nhau như cổ phiếu, trái phiếu, bất động sản và các loại tài sản khác nhằm tối ưu hóa lợi nhuận và giảm thiểu rủi ro trong đầu tư.

Đa dạng hóa danh mục đầu tư là một trong những biện pháp quan trọng trong quản trị rủi ro khi đầu tư. Sự kết hợp phù hợp của nhiều loại tài sản có mức sinh lời và rủi ro khác nhau như: vàng, bất động sản, ngoại tệ, cổ phiếu và trái phiếu… giúp giảm rủi ro tổng thể so với việc nắm giữ một loại chứng khoán hay một loại tài sản duy nhất trên danh mục đầu tư.

Biến Đầu Vào

Dữ liệu lấy giá đóng cửa của các biến từ 4/1/2022 đến 1/7/2023 gồm 370 quan sát Bao gồm các biến: BID,AGG,SSI,MSFT,USD,FPT với tỷ trọng tương ứng: 20%,25%,25%,10%,5%,15%

Một danh mục đầu tư bao gồm:

  • BID: giá cổ phiếu ngân hàng BIDV trong 1 ngày

  • AGG : giá cỏ phiếu bất động sản An Gia trong 1 ngày

  • SSI : giá Cổ phiếu công ty chứng khoán SSI trong 1 ngày

  • MSFT : giá Cổ phiếu nước ngoài Microsoft trong 1 ngày

  • USD : Tỷ giá USD/VND trong 1 ngày

  • FPT : giá Cổ phiếu cổ phần công ty FPT trong 1 ngày

Tỷ suất lợi nhuận đầu tư cổ phiếu như sau: \(R_t =\frac{P_t - P_{t-1}}{P_{t-1}}\)

Lợi nhuận của danh mục đầu tư:

\(E_p(R)= \sum W_j R_j\)

  • \(W_j\) : Tỷ trọng của cổ phiếu j
  • $R_j : Tỷ suất của cổ phiếu j

1 BÀI TẬP TUẦN 1

Phân phối Poisson

Mô phỏng số khách hàng đến mua hàng trong 100 ngày,lambda=3

rpois(n=100,lambda=3)
##   [1] 2 1 1 2 1 3 1 3 2 2 2 4 2 4 4 2 2 3 5 1 3 8 4 2 2 5 1 4 2 4 3 1 3 0 3 1 2
##  [38] 4 7 5 2 1 1 2 1 4 4 4 1 3 2 3 2 5 3 4 4 4 2 2 3 2 3 2 4 2 1 3 6 1 4 2 3 2
##  [75] 2 2 5 1 4 2 4 4 3 1 3 1 4 3 3 4 3 2 2 4 2 1 3 1 2 2
u<-rpois(n=100,lambda=3)
hist(u)

Phân phối chuẩn

Mô phỏng thời gian di chuyển của 1 người trong 1 ngày,giá trị trung bình=50 phút,độ lệch chuẩn = 10 phút

rnorm(n=100,mean=50,sd=10)
##   [1] 44.95489 62.94986 51.52585 46.88426 39.29800 55.69858 45.10544 52.50765
##   [9] 47.38787 52.61532 64.31079 53.96085 45.24815 67.88633 49.48890 42.60541
##  [17] 70.79365 53.76673 27.10512 61.84827 53.05427 56.44630 61.63727 59.35334
##  [25] 50.97983 57.68235 61.08270 46.14570 54.03057 47.22541 55.57314 48.03347
##  [33] 49.18067 56.62346 46.33853 55.95224 41.84395 40.93194 35.76393 53.50303
##  [41] 51.58038 29.27230 58.21606 44.07114 40.20226 51.62041 56.06909 43.39789
##  [49] 44.99978 45.03561 31.05737 44.90208 42.22370 57.36459 63.57404 50.13880
##  [57] 34.95276 58.93027 45.68708 54.22224 46.60136 45.01898 39.69869 57.50036
##  [65] 44.11203 63.56486 56.41451 61.11701 41.14595 39.61059 59.86158 43.01317
##  [73] 41.53871 45.80127 52.74520 67.87588 60.86038 39.47334 52.87420 61.06172
##  [81] 43.47336 58.25608 57.49953 52.30152 66.98417 53.15856 31.25889 56.06295
##  [89] 58.79018 39.06898 47.62545 45.08362 56.16285 47.53571 59.23624 42.76852
##  [97] 56.34478 63.31285 59.30969 66.08572
d<-rnorm(n=100,mean=50,sd=10)
hist(d)

Phân phối đều

Mô phỏng số bánh được 1 khách mua trong số 100 cái,nhiều nhất là 30 cái,thấp nhất là 1 cái

runif(n=100,min=1,max=30)
##   [1] 11.553705  4.613228 18.521319 21.234609 24.384944 20.937151 29.599770
##   [8] 23.628563  3.082920  7.288706 20.144331 18.432030  7.920586 27.704866
##  [15]  4.205827  5.878635 11.962096 19.466544 26.207335 16.678009 25.892602
##  [22] 18.705701 24.291394  2.779277 12.313516  1.011769  4.272689 24.593607
##  [29] 25.530660 15.178711 21.472048  6.451286 16.852482 21.415241 27.782563
##  [36] 10.926335 18.775278  8.172758  1.722540 29.834542  4.934257  2.932621
##  [43]  8.322717  5.718420 10.353998 21.483655  8.576431  9.904385  5.145460
##  [50] 28.445779 29.940685 29.440779  9.150579  5.036044  7.034478 24.192424
##  [57]  7.825838  3.377865 17.579647 19.471722  3.719915 25.364837 24.732435
##  [64] 13.372357 18.224388  9.783194 26.279039 15.847239  7.705567 23.585621
##  [71] 28.180858 27.278821 29.579928 12.494867 21.029425 10.480365 23.855805
##  [78] 18.235725 10.242542 16.447795 24.961861 20.872130  2.704868  1.670971
##  [85] 28.065274 14.225302 25.165563 15.151221  4.494862 20.846584 12.924702
##  [92] 26.201710 16.226946  8.092641 27.289839 10.218620 19.575757  4.511133
##  [99]  1.809727 16.497831
e<-runif(n=100,min=1,max=30)
hist(e)

Phân phối nhị thức Mô phỏng số bánh bị cháy. Trong 100 cái bánh mới ra lò,chọn ngẫu nhiên 20 cái,có 10% bánh bị cháy

rbinom(n=100,size=20,p=0.1)
##   [1] 1 1 1 2 2 4 1 3 2 2 2 1 1 0 1 3 1 4 2 5 3 1 2 3 3 1 2 1 0 2 1 1 3 3 3 1 1
##  [38] 1 4 3 1 1 2 4 2 1 2 4 0 3 2 2 6 3 1 2 2 2 1 2 1 1 0 3 4 1 0 2 2 4 1 2 1 1
##  [75] 0 1 1 0 2 5 2 5 1 2 3 3 2 2 3 2 0 1 1 0 2 3 1 0 4 0
s<-rbinom(n=100,size=20,p=0.1)
hist(s)


** Phân phối mũ **


```r
rexp(n=100,rate=0.25)
##   [1]  2.077034490  0.189714743  3.018550869  5.766593903  4.745970946
##   [6]  1.778678708  1.123561893 11.528429720  2.240691990  3.189647529
##  [11]  2.458868882  6.067828148  0.321494764  0.374764634  1.426499665
##  [16]  8.505698116 10.144662953 23.055644451  4.244603842  6.928694114
##  [21]  1.351613235  9.054242409  0.009037893  5.018227365  2.132791338
##  [26]  5.363476608 14.107375703  5.491413399  6.529338115  0.824658521
##  [31]  1.050631730  1.087834741  3.135771461  1.214744754  7.758985544
##  [36]  0.201584939  0.010239845  2.338084651  2.967426911  2.410988433
##  [41]  5.829004600  4.612927109  2.115709700  5.908723953  2.851966374
##  [46] 11.839816629  3.789640501  2.697662653  2.908514798  9.293507866
##  [51]  1.288817776  1.021126813  0.651056362  1.355794566  5.029378649
##  [56]  4.708057482  3.095128108 13.736545979  1.432481838  4.684486427
##  [61]  1.044738231  0.528773181  7.873980865  0.105747050  3.507530234
##  [66]  1.342745834  8.913487665  0.998224342 16.572503529  0.252039552
##  [71]  5.379830338  9.989215679  1.793013161  0.849332120  6.292209126
##  [76]  5.541549675  2.198112924  6.506294809  5.011556290  1.671267765
##  [81]  8.448126561  1.248125294  0.689563619  6.263940297  0.514751292
##  [86]  1.576353174  1.079808481  1.634572087  4.680317835  2.082740037
##  [91]  1.696193768  3.179203487  0.435900004 13.568850934  0.262406828
##  [96]  1.632709173  2.776263938  2.030790402  1.080642121  2.228163280
t<-rexp(n=100,rate=0.25)
hist(t)