Computational Mathematics

Your final is due by the end of the last week of class. You should post your solutions to your GitHub account or RPubs. You are also expected to make a short presentation via YouTube and post that recording to the board. This project will show off your ability to understand the elements of the class.

Problem 1.

Probability Density 1: X~Gamma

Using R, generate a random variable X that has 10,000 random Gamma pdf values. A Gamma pdf is completely describe by n (a size parameter) and lambda (λ , a shape parameter). Choose any n greater 3 and an expected value (λ) between 2 and 10 (you choose).

In this code, n is the size parameter and lambda is the shape parameter. The rgamma() function generates random numbers from a Gamma distribution, where the shape parameter is equal to n and the rate parameter is equal to lambda. The function returns a vector x containing 10,000 random Gamma distributed values.

The expected value of a Gamma distribution with shape parameter n and rate parameter lambda is n/lambda, and the variance is n/lambda^2. In this case, the expected value is 0.8 and the variance is 0.16. You can change the values of n and lambda to generate Gamma distributed values with different expected values and variances.

#make this example reproducible
set.seed(0)

#generate 10,000 random values that follow gamma distribution
#x <- rgamma(n=10000, shape=4, rate=5)
# x = rgamma(n, shape, λ) 
# n = size of parameter
# λ = shape of parameter
n = 4
λ = 5
x <- rgamma(n=10000,shape=n,rate=λ)
print (x)
##     [1] 1.25230690 0.58325606 0.42225016 0.86374099 1.24176492 1.00351198
##     [7] 0.93201386 0.59039723 0.43295890 0.48685005 0.59252044 0.68328833
##    [13] 0.40604984 1.04099305 0.93985347 1.08607582 1.02323547 0.72817766
##    [19] 0.15352876 0.90111390 1.16520245 0.46533961 0.53252401 0.61458456
##    [25] 0.66206862 0.47808063 0.27956614 1.12045153 0.54851499 1.17209460
##    [31] 1.01467608 0.63979431 0.54083442 0.92377799 0.46601044 0.23715705
##    [37] 1.01709083 0.65859498 0.80312094 0.56614600 0.83345343 0.34120407
##    [43] 0.79672285 0.95043670 0.63690014 0.92939859 0.65037918 0.69587326
##    [49] 0.98186386 0.71051665 0.44951538 0.26832228 1.35575297 0.75851648
##    [55] 1.74892892 0.88922484 0.45956357 0.65612119 0.30951317 0.75482787
##    [61] 0.65663393 0.72809231 0.49679821 1.24787115 1.01871933 0.62027413
##    [67] 0.93987292 0.83012142 1.15428460 0.59081119 0.96287279 1.27056877
##    [73] 0.41138457 1.20150961 0.98651092 1.41964073 0.92456184 0.30382732
##    [79] 0.78831378 1.12252759 1.02311011 0.43952590 0.40065324 0.34093697
##    [85] 1.51742356 0.99385086 1.08197687 0.85112892 1.47089847 0.48233724
##    [91] 0.70952961 0.71031807 0.21248389 0.56073963 0.83120841 0.89737677
##    [97] 0.75260752 0.65625767 1.29270678 0.62201395 0.34529088 0.99204998
##   [103] 0.67274531 0.31469288 0.58392673 0.53332444 0.91299208 0.24714499
##   [109] 0.38803918 0.59191438 0.41238316 0.67887304 0.72586936 0.58410429
##   [115] 0.53730583 0.44219431 1.69875942 0.70652398 1.42852194 0.66434953
##   [121] 0.39545023 0.60882152 1.12417940 0.48684190 0.56676800 0.86809351
##   [127] 0.61355405 1.46986928 1.02208119 0.99230577 0.51160822 0.26846216
##   [133] 0.37362922 1.82990466 0.74014733 0.88143569 0.67142964 0.94205454
##   [139] 0.24598563 1.69181767 1.13719181 1.22491007 0.31508883 0.49594610
##   [145] 0.25864644 0.66656353 1.35524919 0.44270244 1.17313638 0.69374740
##   [151] 0.85849971 0.45297767 1.10565169 1.53023000 0.35844823 0.37150199
##   [157] 0.52839304 0.86156464 1.47453317 1.41951018 0.58166064 1.40398476
##   [163] 0.56995509 0.91719791 0.69499533 1.08938055 0.71388904 0.35790356
##   [169] 0.28118864 1.20727935 0.26082142 0.30959867 0.22414645 0.20169136
##   [175] 0.80814949 0.62930332 0.33413323 0.64693814 0.22815555 1.78259404
##   [181] 0.24801217 1.39902467 0.89813203 1.47892136 0.60584058 1.17052239
##   [187] 0.69800188 0.37213131 0.78611589 0.40982407 0.34702755 0.51099782
##   [193] 0.66253604 1.13388996 0.75189739 0.86063744 0.67418015 1.14059081
##   [199] 0.73094526 0.66946294 0.93070105 0.84722995 0.54992202 0.92108498
##   [205] 0.33990755 1.05757094 1.49128152 0.80469177 0.55094518 0.20546789
##   [211] 0.39251202 1.48198091 0.54393010 2.04213174 0.75959121 1.18675326
##   [217] 0.10549266 0.59262571 1.08646096 0.85689204 0.55582075 0.90531555
##   [223] 0.84506394 1.49361267 0.62499255 1.09832456 0.87168136 1.12661339
##   [229] 0.56164059 0.18688821 0.26805387 0.92079070 0.46355066 1.10299372
##   [235] 0.68120789 0.65421489 0.36297859 1.62340729 0.60295322 1.38015754
##   [241] 0.73138710 0.92832161 0.36913404 1.14861741 0.54038954 0.83495471
##   [247] 1.39460938 0.58213606 0.65545433 0.24792536 1.27490226 1.37219804
##   [253] 1.03802088 0.17519460 1.41197779 1.12766038 0.60152440 0.41403526
##   [259] 1.17859522 1.04838576 0.82262744 0.78561543 0.41993237 1.00101609
##   [265] 1.09898113 0.70164681 0.57437961 0.49578301 0.35863775 0.70549106
##   [271] 0.63202227 0.27209941 0.79634554 0.75694663 0.38598205 1.36009213
##   [277] 0.97634530 0.84938760 0.62972000 0.92516776 0.67223841 0.64297513
##   [283] 0.36190282 0.06604794 0.91819634 1.14371942 0.77585047 0.22304391
##   [289] 0.97681892 0.92863664 0.50216443 0.20422341 0.80784776 0.42590437
##   [295] 1.11291011 0.88102002 1.26809776 0.34020192 0.64001348 0.65233516
##   [301] 1.17762338 0.39718314 0.94437137 0.92039590 1.08489014 2.05006372
##   [307] 0.63417861 0.42938777 0.92547113 0.67441426 0.81942136 0.65938911
##   [313] 0.23528980 0.71694272 0.45799389 0.56167716 1.58896442 0.49255936
##   [319] 1.43556022 0.17774927 0.56954017 0.74423559 1.31374795 0.93134027
##   [325] 0.75200167 1.08385784 0.18834126 0.52279913 1.29173654 1.01652910
##   [331] 0.77436199 1.19180560 0.70519735 0.34751746 0.67586563 0.84531089
##   [337] 0.56475987 1.20303117 0.45568915 0.89999162 0.24417389 0.83080687
##   [343] 0.26784315 1.07354293 0.69041136 0.65797649 0.54708519 1.25956969
##   [349] 1.02632961 0.88331205 0.54568477 0.28216081 1.92255242 0.49211112
##   [355] 1.49875466 0.90356144 1.76162806 1.22175289 1.58798143 0.19630345
##   [361] 0.94054586 0.70182879 0.80842936 0.46078929 0.97727081 0.66543159
##   [367] 0.42878017 0.61849385 0.87468487 1.29675490 0.29355806 1.19488660
##   [373] 0.48229730 0.68959599 0.64662070 0.51978518 1.24191957 0.95126914
##   [379] 0.73787934 1.53977031 0.25070697 0.90581684 0.35141227 0.60719269
##   [385] 0.74218945 2.85158541 0.34656794 0.42351964 0.83612324 0.41138388
##   [391] 0.89168337 1.47800956 0.19610537 1.12018676 1.42344462 0.28059528
##   [397] 1.24939262 0.51428084 1.06601542 0.99500339 0.49202142 0.78929744
##   [403] 0.55088264 0.41666623 1.21611226 0.45129990 0.70153565 0.61538396
##   [409] 0.68225491 0.73312113 1.28036142 0.38099959 0.75462435 0.32495696
##   [415] 0.38096209 0.54116672 0.66508882 0.81810867 1.26172477 1.54927798
##   [421] 0.58983592 0.57630802 0.90531018 0.70697956 1.28023382 0.67558461
##   [427] 0.51720452 0.11856076 1.36760925 0.47400449 0.34440374 0.62899341
##   [433] 0.44944304 0.89319477 0.70704616 0.95765783 1.01074642 1.04664399
##   [439] 1.10798953 1.26783182 0.64983960 1.17045618 0.61045341 0.39615474
##   [445] 1.07745092 0.37742785 0.38212309 0.53597228 1.75982375 1.66262579
##   [451] 2.04044951 0.54374638 1.46857413 0.89462558 1.06737277 0.64684222
##   [457] 0.26400790 0.44420392 0.55789259 1.31866966 1.38011440 1.48050688
##   [463] 0.96178593 0.21091630 1.37501976 0.91163010 0.91756800 0.64979549
##   [469] 0.95626322 0.49965642 1.64931875 0.78541160 0.76285363 0.82998828
##   [475] 0.56328762 0.56365156 0.55044668 0.13726857 0.61027922 0.91253286
##   [481] 0.70183791 0.51566283 1.51538543 0.98180220 0.34872206 1.27169953
##   [487] 0.40214951 1.30269478 0.31595319 0.93998145 0.60251081 0.23518326
##   [493] 0.59506106 0.88488872 0.38302341 1.35608889 0.79421876 0.96407888
##   [499] 0.48066718 0.68644564 1.25885467 0.68229885 0.58413851 1.50390541
##   [505] 0.79831870 1.69370688 1.02258550 0.38100470 0.82931728 1.11296906
##   [511] 0.42001222 0.26329793 0.58454200 0.69616678 0.72692482 1.75908108
##   [517] 0.33383983 0.33527560 0.26106796 0.84607285 0.39148020 0.45256730
##   [523] 0.30086148 1.16138273 0.32326184 0.53059393 0.35802399 0.32990425
##   [529] 1.10499436 1.40328657 0.36473249 0.83171151 0.47877342 0.44573627
##   [535] 0.72455144 0.46793211 0.93397386 0.96655267 0.59069951 0.84911163
##   [541] 0.58855941 0.69476505 0.37897623 0.24608747 0.73870508 0.59657461
##   [547] 1.40981675 1.26928026 0.61392222 0.70144303 1.06011716 1.11480789
##   [553] 0.59510175 0.74985560 1.17009260 0.89506735 0.43889352 0.47940786
##   [559] 0.38256645 0.45549152 1.06050223 0.90024825 0.57354647 0.65117184
##   [565] 0.35891876 1.12051215 0.35277921 0.93143465 0.62765541 0.62196845
##   [571] 0.81233890 1.18292659 0.38074482 0.42921011 1.21296915 0.66723523
##   [577] 0.41934169 0.59397062 1.66665452 1.12644495 0.59709022 0.47360236
##   [583] 1.15879209 1.61990630 1.10737425 1.14244962 1.51829759 0.50244730
##   [589] 1.26197375 0.75357553 0.34562272 0.05260632 1.09068279 1.33049797
##   [595] 0.67672873 0.29578652 0.75310200 0.56293052 0.98088286 1.00347517
##   [601] 0.20673317 0.85411368 1.07325049 0.28953773 1.08832464 1.73717295
##   [607] 0.34634963 0.66783103 1.08413492 0.81417456 0.64437584 0.36781927
##   [613] 0.35474435 0.06561378 1.06913760 0.69556876 0.33980305 0.54968538
##   [619] 1.21519802 0.53779570 0.83847413 0.99836168 0.97236900 1.86031396
##   [625] 0.54817593 1.81838274 0.59258772 0.73063523 0.77040655 0.76358897
##   [631] 0.30555362 0.92787447 0.81284437 0.48862914 1.53556058 1.12959682
##   [637] 0.50496540 0.47642353 1.78681238 0.81766544 0.36427075 0.33177603
##   [643] 0.13962640 1.18053826 1.38634109 1.60161349 0.77690304 0.41889693
##   [649] 0.15940179 0.23517155 0.96853171 1.30478233 0.49676447 0.44275958
##   [655] 1.33029887 0.28088175 1.02955880 1.11773973 0.43427750 1.54628202
##   [661] 1.06048543 0.23657783 0.20864830 0.70954402 0.16018246 0.83439375
##   [667] 0.48628567 1.24501293 0.61060417 0.76756566 1.08461792 0.82492482
##   [673] 0.56952116 0.69364492 0.67681419 0.85709974 0.60556836 0.38860285
##   [679] 1.33949202 0.78567585 0.60022424 0.31900913 0.96896325 0.69504896
##   [685] 0.80110577 0.69084665 0.51697359 0.56806890 0.80243382 0.34398605
##   [691] 0.57848335 0.96837795 0.79181575 0.99321274 0.39288932 1.08131323
##   [697] 0.77993041 0.76819119 0.63935032 0.47851386 1.07787916 0.61938707
##   [703] 1.61607137 1.00301433 1.83799319 0.83663681 0.34001558 0.40940032
##   [709] 0.37390050 1.20461670 1.66557749 0.89965614 0.18411032 0.63717548
##   [715] 0.62749821 1.74686202 0.72201554 0.28482709 0.46946372 0.68450672
##   [721] 0.56093289 0.79075980 0.39415539 0.59792430 1.79612618 0.52747681
##   [727] 0.64350167 0.65712620 0.52180207 0.65059742 0.62266299 0.86130607
##   [733] 0.53635303 0.27154832 0.69255339 0.50438678 1.43500706 0.88096464
##   [739] 1.06711266 0.38730829 1.29848869 0.44816907 0.84948057 0.90173365
##   [745] 1.66390271 0.72439005 0.88423415 0.72825908 0.52969304 0.48168861
##   [751] 0.74926218 0.42813137 0.66389754 0.97598486 0.53105563 0.52616275
##   [757] 1.14747676 0.74602857 0.58768416 1.15584791 1.01122535 0.46159528
##   [763] 1.18907234 1.17786642 0.41209753 0.25731673 0.21611382 0.79683406
##   [769] 0.60455762 1.12329081 0.51225112 0.10105959 0.26236382 0.62043843
##   [775] 0.49619711 0.49578836 1.66912611 0.58316855 1.13841551 0.81465295
##   [781] 0.30983109 0.48148081 0.29604839 0.48870970 0.55887652 0.78849163
##   [787] 0.73801441 0.10355690 0.61572186 0.22438336 0.69761899 0.74517712
##   [793] 0.52509065 0.39623131 0.73238679 0.85260813 1.71657890 0.75797234
##   [799] 0.71580269 0.78609285 0.37297057 0.51267690 0.60916186 1.08809771
##   [805] 0.40065598 0.56021545 0.43538967 1.18773849 0.44025565 0.99999956
##   [811] 1.01111114 1.02614637 0.57786195 0.76254088 1.05670164 0.42681487
##   [817] 1.54544575 2.45155141 0.64309961 1.01869411 0.64829451 0.98172732
##   [823] 0.57853637 0.48631284 0.75994239 0.50240068 0.76295763 1.52527689
##   [829] 0.99140316 0.57934931 1.11676653 0.44254337 0.29034457 0.34031743
##   [835] 0.64645707 0.77037588 0.85968489 0.37744686 0.89614230 0.42854907
##   [841] 0.72789740 0.98905860 0.83094866 0.91893782 0.27348792 0.38875398
##   [847] 0.53658538 0.44267252 0.66325206 0.56368663 0.50786751 0.99303948
##   [853] 0.98731756 0.44192374 0.47047415 1.28809791 0.69242744 0.41169516
##   [859] 1.04172547 1.56212896 0.91719063 0.37847427 1.30456583 0.46737251
##   [865] 1.27182222 0.14513672 1.22935862 1.02914196 0.52924843 0.73075720
##   [871] 0.70964576 0.64575434 0.17436886 0.83191698 0.49935051 0.61381035
##   [877] 0.55264017 0.65130099 0.64389478 0.45974032 0.78675361 0.21266762
##   [883] 0.85648834 0.90589956 0.61399625 0.89814661 1.38471548 1.11852638
##   [889] 1.24389743 0.58201557 0.39646302 0.64887725 2.34310056 0.49847261
##   [895] 0.93770791 0.74130429 0.49424159 1.69096772 0.43891724 0.89973517
##   [901] 0.89840243 1.23519867 0.35174100 0.58941434 0.55231817 0.22126709
##   [907] 0.38707106 1.60450987 1.84304859 0.10301878 0.62858850 0.54020610
##   [913] 1.32117345 0.23136204 0.91219372 0.76340761 0.75459387 0.49159208
##   [919] 1.25982416 0.59529656 0.74055522 1.34494173 0.57522653 0.76182041
##   [925] 0.67968850 0.33995576 0.46083018 0.54484017 0.67310164 0.51564233
##   [931] 0.85827968 0.51307458 0.68354906 0.74517394 0.89206851 0.59523975
##   [937] 0.55290791 1.88021474 1.36958122 0.85842859 0.41477579 0.64380924
##   [943] 1.32364520 0.53655080 1.14097872 1.80112408 1.27833562 0.41231410
##   [949] 0.72680836 1.46991463 0.34446597 0.29508916 0.67412871 0.39567643
##   [955] 1.25360943 1.33785973 0.76739036 0.43567839 0.41605993 0.49379090
##   [961] 0.98501555 1.48056580 0.38196143 0.36234464 0.81959065 0.95309360
##   [967] 0.72314000 0.65914690 0.64037942 1.73106149 1.70027899 0.76497273
##   [973] 0.66021771 0.48021654 1.36187520 0.86095965 1.17900578 0.68990580
##   [979] 0.87692821 0.89511322 0.47089337 0.47232321 0.97295642 0.49914968
##   [985] 0.83350598 1.27907946 0.38694307 0.72641924 0.36468761 0.39740761
##   [991] 0.30173925 0.93836266 0.51661257 1.37292973 0.69420509 1.35683481
##   [997] 0.46530582 0.28869483 1.10730790 0.40784321 0.67831391 0.29891680
##  [1003] 0.48150888 0.22402643 0.87459493 0.40617365 0.61392648 0.97868072
##  [1009] 1.50895123 1.13202081 0.75339988 0.47938386 0.68576955 0.59289212
##  [1015] 0.50753339 0.42467161 1.23648851 0.34540328 1.10013638 0.55077063
##  [1021] 0.22841222 0.77702161 0.61791342 0.32222187 0.47417887 0.42405785
##  [1027] 1.64766014 0.67880688 1.17848300 0.81107105 0.39960449 0.64476897
##  [1033] 0.36645464 0.59821708 0.32692255 1.15090921 0.79407479 1.17904654
##  [1039] 0.67164961 0.72776609 0.23244960 0.31791231 1.14259994 0.97194884
##  [1045] 0.29574411 0.48401567 1.51770272 1.04639331 0.66858185 1.59388497
##  [1051] 0.57563107 0.73787945 1.00290057 1.39843209 0.76854673 0.59827237
##  [1057] 0.44094932 0.39954035 1.51056365 0.19331444 0.47255852 0.36752420
##  [1063] 0.52728293 1.46418223 0.55988977 0.72757557 1.16665367 1.26717163
##  [1069] 1.26211355 1.11425680 0.82870382 1.57994681 1.67305465 1.28536352
##  [1075] 0.62022024 0.97880552 0.80667317 0.50917000 0.45378476 1.10715812
##  [1081] 1.00507779 0.71404732 1.75379503 0.67053863 0.68350564 0.76129361
##  [1087] 1.33446759 0.60742653 0.82380429 1.30149547 0.35505772 0.72053175
##  [1093] 0.79547311 0.74717909 0.51405027 0.38593427 0.97188814 1.37220247
##  [1099] 0.60092713 1.37773738 1.23041399 0.74446084 0.73523138 1.05564916
##  [1105] 0.60899951 0.60394981 0.88262896 2.14751569 0.82465660 0.31402422
##  [1111] 1.11159113 0.50155063 0.73528858 0.94038239 0.53623719 0.49695672
##  [1117] 0.79950918 1.16376452 1.22050560 1.02075402 0.75032758 0.43065023
##  [1123] 0.64901016 0.55712667 0.22401416 1.29140604 0.74346107 0.56092160
##  [1129] 0.48129318 0.40036902 0.68089238 1.07427184 0.39218136 1.50349445
##  [1135] 0.34921982 1.28568389 0.66182178 1.37168626 0.31230750 0.32042854
##  [1141] 0.35607808 0.61476188 0.66614013 0.64355897 0.55190259 0.84089245
##  [1147] 1.71474943 0.33953793 1.43251115 0.61331284 0.61353760 1.53247970
##  [1153] 1.16823663 1.47570825 1.46309270 0.71550751 1.14233981 0.93714206
##  [1159] 0.64202266 0.87939624 1.10064310 0.31987510 0.80457787 0.52445499
##  [1165] 0.37298864 0.57833948 0.31990309 0.82267102 1.03204689 0.89367925
##  [1171] 1.49452388 2.00185762 0.37862575 0.81731861 0.21597563 0.63799611
##  [1177] 1.46384207 1.09652754 1.43887336 1.07312937 0.51541122 0.58808810
##  [1183] 0.77509849 1.29552090 0.75177168 1.40243936 0.64899422 1.29298029
##  [1189] 0.88666456 0.60849986 0.44069835 1.20716972 2.32954164 0.38149336
##  [1195] 0.48531463 0.58804783 1.22415008 1.10139788 1.03962686 0.90768485
##  [1201] 0.48895720 0.70476742 0.41133064 0.42289139 1.08722072 0.81713146
##  [1207] 0.98348083 0.82707703 0.86100399 1.01317495 0.10577907 1.27312706
##  [1213] 0.86590461 1.37656145 0.16829748 0.43026904 0.73042836 0.73446762
##  [1219] 0.83925328 0.24118310 0.51648395 1.03848831 0.57684765 0.58011079
##  [1225] 0.78822735 1.47173219 0.71470269 1.16173281 0.24610161 1.10305980
##  [1231] 0.82194358 0.73830298 1.00790299 0.90587476 0.45274680 0.51771427
##  [1237] 1.78277129 0.88132560 0.68666323 0.14446188 0.34859829 1.51867353
##  [1243] 1.29348058 0.82823883 1.14253091 0.99392778 1.00044820 1.07826857
##  [1249] 1.39264386 0.83969773 1.02711769 0.99293727 0.50450884 0.65417047
##  [1255] 1.09284890 1.86164386 0.66965763 0.91236319 0.83712636 0.57691320
##  [1261] 0.81362080 1.57737893 0.76198932 0.70306579 0.54547360 1.71905114
##  [1267] 0.63441621 1.03957038 0.18513823 1.23201896 0.41773129 0.25879058
##  [1273] 0.22333409 0.49317669 0.52335715 1.51774852 0.58916605 0.24888419
##  [1279] 1.48910031 0.61468318 1.48480522 0.43881760 1.40551206 0.83477703
##  [1285] 0.31269369 0.56572443 1.59026198 0.17344099 0.78766584 0.55816140
##  [1291] 1.21112845 1.47758408 1.09986451 0.94207615 1.81360036 0.52496561
##  [1297] 0.42267584 0.69695832 1.37735460 0.21262774 0.75660799 1.02630148
##  [1303] 0.92417263 0.68978748 1.11840752 0.76533507 0.45194443 0.79791943
##  [1309] 0.70430876 1.64097425 0.54705215 0.50513226 1.96109360 0.94394568
##  [1315] 1.49905108 0.91594756 0.20086007 0.82056267 1.21023861 1.11637917
##  [1321] 0.40140410 0.49437368 0.44286099 0.37226982 1.05377231 0.77661603
##  [1327] 0.28927641 0.69308485 0.42281131 0.47242109 0.77725428 1.62426579
##  [1333] 1.61201526 0.26123805 0.34221642 0.44526323 0.79164647 0.50273902
##  [1339] 1.37741065 0.59931539 0.37867556 1.27713331 0.51766354 0.49799048
##  [1345] 0.65106833 1.17836455 1.43018185 0.30983964 0.74310994 0.76673868
##  [1351] 0.68013247 1.06976054 1.03763597 1.12227252 1.49845368 0.83996685
##  [1357] 0.75947999 1.40155795 0.67623259 1.36828990 0.51088137 0.26631425
##  [1363] 0.95391319 0.56463631 1.87623388 0.55723601 0.51202793 2.21837024
##  [1369] 0.35450991 0.45347982 1.09176406 1.13589919 0.94814119 0.94605865
##  [1375] 0.40577329 1.08563473 0.62210969 1.00085655 1.04981699 1.31267689
##  [1381] 0.47643534 0.50360099 0.69074769 0.59273977 0.54642079 0.67284890
##  [1387] 0.97495385 1.31024910 1.13765731 0.49166257 0.54799657 0.31499221
##  [1393] 0.62837338 0.64499446 0.93544552 0.50662445 1.06087072 1.15852872
##  [1399] 1.80076986 0.53236820 0.37889248 0.72009182 0.33135385 0.93059140
##  [1405] 0.63556301 0.75774736 0.93356106 0.67069186 0.54465097 1.00358026
##  [1411] 0.15413584 0.71205995 0.11609667 0.73366869 1.57655489 0.41772491
##  [1417] 0.77943047 1.71255813 1.16723554 0.86240830 0.53208566 0.64037561
##  [1423] 0.55136904 0.75230096 1.42607022 0.65897443 0.76649607 1.21709284
##  [1429] 0.87512010 0.30640645 1.12528820 0.69196314 0.36203091 1.98887245
##  [1435] 0.54025289 1.07131184 1.15300541 0.48856551 0.29887040 0.86682561
##  [1441] 0.32719333 0.66139955 0.71723153 0.87952940 0.72170487 0.48141913
##  [1447] 0.48597597 0.61919719 0.50579946 1.50849001 0.98828529 1.36381760
##  [1453] 1.29771959 0.58198469 0.59938693 1.07436294 0.45678512 1.40248909
##  [1459] 0.20077758 0.52444797 0.69088711 0.48161158 0.35458092 0.48529851
##  [1465] 0.59960008 0.38976603 1.29739280 1.02617460 1.03251950 0.25209597
##  [1471] 2.04538157 1.10588178 0.62291132 1.08819713 0.69698910 0.53001025
##  [1477] 1.12617379 0.58813663 0.70447068 0.69653203 0.90777507 0.67925883
##  [1483] 0.46799056 1.53900625 0.95556246 1.18204592 1.08760540 1.71123365
##  [1489] 1.02969537 1.48834882 0.42173420 1.77829511 1.02239251 1.07935002
##  [1495] 0.63816934 1.01718196 0.44890177 0.99794198 0.41137592 1.43716214
##  [1501] 1.24394175 1.65326723 1.76775386 0.68749884 0.82407367 0.47830411
##  [1507] 0.47755457 1.58986837 0.60554500 1.50621792 0.85774693 0.92348370
##  [1513] 1.69397429 0.46592613 0.58768819 0.67499106 1.68055963 1.31187023
##  [1519] 0.56351189 0.58181259 0.79631373 0.32839156 0.48001954 1.01988953
##  [1525] 1.24480729 0.55292777 1.16789125 0.61705523 1.42804584 0.67637881
##  [1531] 1.20551030 1.02832418 0.84969037 0.83097885 0.88291656 0.68003923
##  [1537] 0.89847677 0.38302617 0.38660091 0.61106508 0.97879016 0.83388142
##  [1543] 1.12756580 0.39009021 0.59213118 1.15433326 0.46775142 1.25886295
##  [1549] 0.32068877 0.35518235 1.75803657 1.33321735 0.77024373 0.47701097
##  [1555] 0.82420763 1.01949207 0.48423741 0.49853117 1.25271258 0.29427454
##  [1561] 0.22151432 0.89112087 0.23209816 0.46806785 1.04283898 0.33197439
##  [1567] 1.88294865 0.92134964 1.24522621 0.71863240 0.53992548 0.76260791
##  [1573] 0.62917694 0.61948347 0.92564973 1.30433666 0.65891693 0.47227169
##  [1579] 1.03161399 1.17262431 0.31072190 0.33546325 0.21211835 0.39284911
##  [1585] 0.58979245 1.26421959 0.64010717 1.79857176 0.48314335 0.66141760
##  [1591] 0.41070489 0.27512461 1.33752707 0.56592857 1.94750978 0.75537287
##  [1597] 0.25625173 0.68846210 1.32665542 0.72026269 1.43028259 0.69356904
##  [1603] 0.76700490 0.47686701 0.86800851 0.38235758 0.89258000 0.53196740
##  [1609] 0.35253274 1.19614796 0.38610664 0.86092582 1.00887133 0.20536637
##  [1615] 0.68405863 0.48044691 0.96158676 0.20771004 0.39437815 0.62803615
##  [1621] 1.08010529 0.85813968 0.72860989 1.15255041 1.08512557 1.03554840
##  [1627] 1.15351213 0.55452429 0.63060997 0.78181448 0.60489300 0.43026979
##  [1633] 0.28662387 0.61507883 0.51994239 1.60397045 0.45689466 0.43894253
##  [1639] 0.60019070 0.55216819 0.68766671 0.66102469 0.69509717 0.51184481
##  [1645] 0.70167752 0.40841241 0.63652255 0.63388622 0.39880963 0.56940169
##  [1651] 1.05066779 1.10199805 0.55478657 0.71004883 0.92737510 0.29709057
##  [1657] 0.53091508 0.61679639 0.44660943 0.91449986 0.50395143 0.55012455
##  [1663] 1.57599277 1.58062622 0.30514120 0.22514586 0.72437100 1.29322287
##  [1669] 0.91744224 0.67977184 1.46650705 0.58919296 0.64324563 0.24599376
##  [1675] 0.78577754 0.65296099 0.61153002 0.86623209 0.96121057 0.81448045
##  [1681] 0.99493644 0.77388157 0.84423392 0.65821297 0.69603550 1.08773939
##  [1687] 1.80996977 0.54457218 0.78886864 0.61538959 1.26528417 0.60807034
##  [1693] 0.41149800 0.38977244 0.73454940 0.63808053 0.77910088 0.47668544
##  [1699] 0.85542473 0.23265300 0.76960941 0.67430988 1.53832617 0.95256944
##  [1705] 0.80625228 0.89943263 0.80200080 0.32297105 0.60271451 1.10166447
##  [1711] 0.31393498 0.63139404 0.32359688 0.56820095 0.75992320 1.65834580
##  [1717] 1.00318403 0.21013897 0.87537019 0.65455347 0.90176754 0.60663265
##  [1723] 0.69855738 1.21604781 0.40544876 1.68663263 1.45845249 0.46312520
##  [1729] 0.52947353 1.24089010 0.82111200 0.48339175 1.44349028 1.06307803
##  [1735] 1.22943618 1.49170207 0.58786089 0.44122116 0.88127137 0.52490677
##  [1741] 0.51676101 0.83851054 0.39045029 0.71884896 1.36267092 0.97579044
##  [1747] 0.94128896 0.25778297 0.73867963 0.77949968 1.85202069 0.50586753
##  [1753] 0.37469338 0.84415326 0.69780688 0.71928468 0.81334064 0.79458637
##  [1759] 0.73129310 0.68496930 0.57197168 0.61784696 0.38921258 0.72920551
##  [1765] 0.53787185 0.29110639 1.08142696 0.92150308 0.31536027 0.29602977
##  [1771] 0.72326908 0.32435319 1.55250034 0.38113527 1.30012161 0.58466011
##  [1777] 0.73874027 1.36482284 0.92523376 0.75431488 1.55198541 0.90740351
##  [1783] 0.98281014 0.71051962 0.63960775 0.57084983 0.61910069 0.78259074
##  [1789] 0.89535786 0.90882285 1.17492853 0.90302222 0.31508218 0.88764451
##  [1795] 0.20895179 0.99541391 0.58063772 2.11882551 0.30767076 0.31622104
##  [1801] 1.64450694 0.28651584 0.87748043 0.61132437 0.83904457 0.89083132
##  [1807] 1.45077099 1.01335560 1.01884165 0.58511243 1.09132693 1.16059527
##  [1813] 0.59215715 1.16423473 1.59262667 1.27884123 0.96826054 0.35662299
##  [1819] 0.36936023 0.77298829 1.87937831 1.03575782 0.73785110 0.98117675
##  [1825] 0.69910093 0.38089931 2.05342976 0.24116865 1.37197890 0.30826760
##  [1831] 0.74770460 0.23336848 0.21125351 1.30921359 0.51989454 0.41405697
##  [1837] 1.03796358 1.46194787 1.13127459 0.91113845 0.16141039 0.58076390
##  [1843] 0.42170662 0.96849626 0.94547038 1.79826444 1.01433875 0.20839509
##  [1849] 0.84593581 1.20666067 0.53696582 0.49432163 0.54186872 0.39646513
##  [1855] 0.75793733 1.32919192 0.18468045 0.45640861 0.58674445 1.10222955
##  [1861] 0.20664552 0.42677955 0.63594743 0.86857297 0.29596000 0.74634504
##  [1867] 0.72466681 1.49894482 0.93620449 0.54219691 0.62895898 1.38634000
##  [1873] 1.03385326 0.62285317 1.16778441 0.31665632 0.91502801 0.70880758
##  [1879] 1.14652893 0.52334295 1.02461068 0.92664066 0.94942298 0.65682609
##  [1885] 0.37769423 0.76758157 1.09028056 0.82213123 0.86018281 0.34323922
##  [1891] 0.75135069 0.59762415 0.57000705 0.66023800 0.15732647 0.76853361
##  [1897] 0.35962303 0.79999815 0.47809451 1.64066827 0.72688825 0.55763417
##  [1903] 1.54853939 0.71488440 0.83950438 0.64592141 0.56783604 1.48271646
##  [1909] 1.45395853 1.29258903 1.32256946 0.65548707 1.06688399 0.53274775
##  [1915] 1.12898638 1.18942035 0.60530160 0.54382123 1.25679247 1.81865998
##  [1921] 0.41546341 0.61832078 0.58324925 0.91215158 1.31836941 1.18501004
##  [1927] 0.69575617 1.11998292 0.86940723 1.18091726 0.45059997 0.65710239
##  [1933] 0.53016842 1.19302477 1.38117309 0.84203250 1.45263538 0.73388217
##  [1939] 0.99916094 0.92300162 1.05242185 0.58847807 1.45569474 0.90087275
##  [1945] 1.08192065 1.51133260 0.74833984 0.80305265 1.16243745 0.70350989
##  [1951] 0.85114331 0.51478282 0.95434588 0.31803928 1.02538752 0.47866985
##  [1957] 1.07241524 0.62843189 0.56375131 0.40658785 0.53104268 0.77534690
##  [1963] 0.84657006 0.54543591 0.79972546 1.18420584 0.58877709 1.17499172
##  [1969] 0.93909234 0.71442341 0.75491277 0.66120390 0.81101395 0.78307408
##  [1975] 1.30917310 1.07102957 0.70656877 0.22214065 0.98269943 0.74652137
##  [1981] 0.64813933 0.80655934 0.48655856 0.58626507 0.32674042 0.81533930
##  [1987] 0.85113196 0.28937960 0.54553912 0.49761354 0.94153438 0.81825509
##  [1993] 1.49037098 0.40583748 1.42846111 0.73472283 1.09177745 0.83409137
##  [1999] 0.61521082 1.35959403 1.42358069 0.45324210 0.70953039 0.63275369
##  [2005] 0.33591635 1.28295305 1.11926302 0.67806898 1.03578660 1.35268348
##  [2011] 1.69278516 0.84169135 1.01794925 0.66374503 0.56845557 0.40538531
##  [2017] 0.54019252 0.88418275 0.59823635 2.05859174 1.41199488 0.97685385
##  [2023] 0.74423520 0.53639400 0.75280337 0.54381305 0.78971260 1.05993625
##  [2029] 1.32771444 0.69513876 0.77971498 1.25469068 0.16037695 1.75835702
##  [2035] 0.33684758 1.37150615 0.69436013 0.61089268 1.38085685 1.26841701
##  [2041] 0.76328553 0.98145427 0.83475791 0.83306149 0.76210448 1.02532794
##  [2047] 0.65921669 0.68679544 0.55249918 1.25456014 0.57286760 1.23224210
##  [2053] 1.38416859 0.80979614 0.23984533 0.77817813 0.30186809 0.67458161
##  [2059] 1.28233880 0.84705344 1.44668147 0.66468898 0.89527399 0.53787048
##  [2065] 0.49128117 1.18666823 0.87688228 0.74699162 1.13264026 0.71499782
##  [2071] 1.05798394 1.03427468 0.46961739 0.54090012 0.92353631 0.56063386
##  [2077] 0.23512530 0.97980941 1.07750616 0.88785543 0.83000066 1.10224687
##  [2083] 1.00871300 0.81810614 0.78542396 1.31968064 2.21864300 0.74064403
##  [2089] 0.67527372 0.75407755 0.73497039 0.73745723 0.93945028 1.25826352
##  [2095] 1.12748251 1.49443542 0.84734294 1.28468819 0.26250327 0.69936974
##  [2101] 0.48872330 0.99454962 2.18050881 0.99442102 0.58221875 0.70942513
##  [2107] 1.33269738 0.91015557 1.64386118 0.65177442 0.85294886 0.58715800
##  [2113] 1.76391912 0.90595337 0.63775313 0.98948678 0.39635696 0.95399967
##  [2119] 1.63323697 1.28849478 1.64234450 0.89125721 0.91883938 0.61565956
##  [2125] 0.19710968 0.63425176 0.36299329 0.68202848 0.78509379 0.93382402
##  [2131] 0.82317246 0.80683429 0.59689988 0.96639320 0.91311450 1.01807686
##  [2137] 1.12090853 1.14489139 0.72180286 1.25364599 1.55265062 0.76972878
##  [2143] 0.94610730 0.52790851 1.47944778 1.08593428 0.78962277 0.86688913
##  [2149] 0.68220520 0.68879803 1.21441786 1.20825819 0.52352598 0.61706062
##  [2155] 0.23639051 0.68115674 0.85894942 0.48489901 0.19242062 0.98477359
##  [2161] 0.48033078 0.60763322 0.47649752 0.86054951 0.75459409 0.86347814
##  [2167] 1.61982377 0.66315707 1.19070770 0.90031385 0.67513965 1.16728998
##  [2173] 1.00001113 1.05760080 1.25196778 0.81949446 0.77361499 0.90803080
##  [2179] 1.67841185 1.33562228 1.08901092 1.13572903 0.18886258 0.67646372
##  [2185] 2.04082385 0.47060299 1.23901017 0.42793855 1.25076364 0.53290697
##  [2191] 0.50346580 0.60960053 0.43607761 0.61743184 0.81681579 0.68857945
##  [2197] 0.49998330 1.86220459 0.89457937 1.08958530 0.88198626 0.47731664
##  [2203] 0.13013728 0.38269096 0.40634902 0.50221357 0.58334856 1.45002294
##  [2209] 0.40829354 0.70919357 0.72561875 0.06835621 0.45821568 0.88043848
##  [2215] 0.84186905 0.85411511 0.55765621 0.79258342 1.12309180 0.33892488
##  [2221] 0.56738746 0.89747471 1.23360301 0.15392174 0.62155070 0.40383594
##  [2227] 0.96231580 0.62811189 0.79959282 1.07997854 0.65596918 0.66569018
##  [2233] 1.20662818 0.45218392 0.62263855 0.46690782 0.72640019 1.35227086
##  [2239] 0.76252083 0.83755678 1.00641453 0.53474677 0.91942042 1.01726831
##  [2245] 0.63186555 1.19679773 0.42038761 0.35481319 0.89813901 1.37284237
##  [2251] 0.67901791 1.30086620 0.87584377 0.30910096 0.30653174 0.67985716
##  [2257] 0.64885528 0.53833719 0.58441084 0.46823564 1.39674216 1.10737057
##  [2263] 0.18228174 0.56228139 1.43422730 0.42796262 0.19322261 0.77783933
##  [2269] 0.98973748 0.87912568 0.88699278 0.90862525 1.11659963 0.93937559
##  [2275] 0.28248873 0.54548737 1.18699831 0.59150233 0.77830657 1.00561236
##  [2281] 0.56581082 0.91827437 0.87281413 0.81650183 0.90060450 0.39403007
##  [2287] 1.05904335 0.57047665 0.66038079 0.73682904 0.21174538 0.96312974
##  [2293] 0.35527647 0.80403767 0.29190058 1.35816420 2.08398940 1.18001164
##  [2299] 1.11884154 0.36875949 0.67954633 0.86136643 0.74377110 0.63555187
##  [2305] 0.96295775 1.01031135 0.40068727 0.69998393 0.65241624 0.93937131
##  [2311] 1.29910400 0.42157339 0.97190816 0.64859851 0.30760163 0.77699719
##  [2317] 0.56531475 0.93985533 2.37932791 0.42634787 0.53320918 0.61381916
##  [2323] 1.10417842 0.65180756 0.55773260 0.72114588 0.30259200 0.60620265
##  [2329] 1.01656830 0.98684868 0.91615237 1.18730030 0.54558332 0.15386419
##  [2335] 1.01505885 0.55983620 1.36220830 0.44117114 0.71839348 0.82132440
##  [2341] 0.69834709 1.17679373 0.67785909 0.71753524 0.80135069 1.29100724
##  [2347] 1.48139876 1.40076741 0.58459814 0.79040898 0.30061016 0.28243909
##  [2353] 0.48651248 1.75200104 1.24739240 1.49036312 0.69165069 1.72879591
##  [2359] 0.78188632 1.55803671 1.23111145 1.21450314 1.02862797 0.72595638
##  [2365] 0.17643149 0.47122471 0.68855002 1.08667864 0.82859154 0.85667881
##  [2371] 1.55833005 0.48395611 1.09852390 0.65808063 1.21481920 0.83647342
##  [2377] 1.82241240 1.41689545 0.50349071 0.45395603 0.26815340 0.74603355
##  [2383] 1.11522432 0.66779750 0.60466274 1.29600975 1.11837447 1.03130349
##  [2389] 1.32872213 0.37884969 0.50919251 0.49524783 0.24104070 1.14089723
##  [2395] 0.17946456 0.77680868 1.43771010 1.60134923 1.02403304 1.39124867
##  [2401] 1.17005163 0.46378457 1.33629468 0.57348718 0.75498007 0.79650862
##  [2407] 0.61777860 0.99509822 0.38546404 0.83610551 0.81750037 1.20770911
##  [2413] 0.34866369 1.21524761 1.79349715 0.51046612 0.50261870 0.37946644
##  [2419] 1.16758603 0.68066807 0.55029990 0.44084087 0.50175268 0.39740773
##  [2425] 1.12060253 0.56848780 0.63367491 1.32906300 0.76236974 0.29387170
##  [2431] 0.90900218 0.40590765 1.22359499 0.47684536 0.41859034 0.69064056
##  [2437] 0.98754601 0.70611584 0.96058964 1.45631372 0.41530252 2.08288784
##  [2443] 0.91165791 1.17322848 0.74155506 1.17216989 0.64371568 0.52519072
##  [2449] 1.42464511 0.54826116 0.50125684 0.86105165 0.53726971 0.59530728
##  [2455] 1.01673230 0.81927771 0.74689152 1.58651866 0.31490540 0.69339421
##  [2461] 0.59115911 0.14759792 0.93544989 0.65020494 0.61284803 0.52607580
##  [2467] 0.56723487 0.46202980 1.14116638 1.26732567 1.19347485 0.98873085
##  [2473] 0.81184445 0.79971624 1.64545401 0.54319829 0.84108265 0.57845691
##  [2479] 0.30437594 0.20910847 1.59143170 1.40476037 0.34745472 1.52529607
##  [2485] 0.39369835 1.10048540 0.78066494 1.23246899 1.16582218 0.62947418
##  [2491] 0.64921320 0.26579119 0.64797151 1.30251290 0.73342601 1.02978027
##  [2497] 0.63508763 0.82589128 0.66036049 0.73536039 0.92323416 0.95739370
##  [2503] 0.36692109 0.71037407 1.10983369 0.11892689 0.56213024 0.86391363
##  [2509] 0.96294569 0.47668141 0.53299157 0.92812670 0.95737492 0.32045535
##  [2515] 0.67809781 0.85265423 0.52197836 0.92519002 0.40212946 0.21029504
##  [2521] 0.60912940 0.92781487 2.02277686 0.27435983 0.56275217 1.21655790
##  [2527] 1.28968750 0.88287831 1.46837829 1.10853127 1.05099859 0.71986425
##  [2533] 0.86116598 0.24298159 0.80551816 0.93811948 0.84610377 0.87681304
##  [2539] 0.91100710 0.47851490 0.97287620 0.91484752 0.56775678 0.72844729
##  [2545] 1.11023038 0.51852751 1.01431366 0.86436452 0.44173958 0.30712820
##  [2551] 0.65402226 0.54982880 1.17003039 0.54949555 0.66699869 1.01987161
##  [2557] 1.25523631 0.81557657 0.65365687 0.88886772 0.54412572 0.50342084
##  [2563] 1.66519436 0.74343369 1.31576378 1.29955233 0.45882557 0.68232530
##  [2569] 0.56477261 1.19857203 0.44467040 0.64040290 0.55406200 0.87095735
##  [2575] 0.38663293 1.42845350 0.77916771 0.95620292 1.19945482 0.92962235
##  [2581] 0.94771175 0.26619610 0.70637448 0.75731697 0.89235040 1.06919170
##  [2587] 0.82319867 0.78800362 0.66003363 0.59953211 0.58662533 1.39091191
##  [2593] 0.90433892 1.18574997 1.23912495 0.66086428 1.74969242 0.14534110
##  [2599] 2.46187462 0.83907558 0.37590706 0.40309811 1.32509236 0.45278316
##  [2605] 1.03064342 1.30712470 1.53145492 0.35939425 0.62119494 1.29272289
##  [2611] 0.49638532 1.03131615 0.84312033 1.69804816 1.17548167 0.77775507
##  [2617] 0.24462259 0.70789124 1.46817505 1.34178962 1.48600841 1.22299424
##  [2623] 0.41408970 1.18975944 1.57177359 1.13586882 0.62278774 0.67415563
##  [2629] 0.90834176 0.84839838 0.48609576 1.11905110 0.92602870 1.09622937
##  [2635] 0.80101348 0.31792080 0.62482724 0.89187742 0.55342707 0.50447541
##  [2641] 1.77047427 0.47463664 0.23755631 0.54765851 0.57453963 1.19859916
##  [2647] 0.87138588 0.34898586 0.52976018 0.50871983 0.45447828 1.20342315
##  [2653] 1.26468656 0.57900473 1.30940363 0.45071115 0.40766711 0.78094618
##  [2659] 0.40183077 0.35540066 0.71283404 1.07173370 1.18065727 0.40218293
##  [2665] 0.74667316 1.23526713 0.49741241 0.33849677 0.90233426 0.90962291
##  [2671] 0.95336296 0.02894103 0.47421044 0.85411959 0.32624896 0.47449985
##  [2677] 0.78117954 0.64976711 0.83851595 0.35593448 0.52570956 0.06665672
##  [2683] 0.52783842 1.08821411 0.90623827 0.31069128 0.51920090 0.29434038
##  [2689] 0.64125590 0.22168820 0.62595094 0.26419902 1.12335396 0.22247156
##  [2695] 0.48598790 0.42287746 0.79900477 0.47406708 0.61208547 0.50567836
##  [2701] 0.98852055 0.39277643 0.50491975 0.70721684 0.42826843 1.59822506
##  [2707] 1.60574816 1.01435615 0.41139552 0.69967174 0.46962832 0.69765344
##  [2713] 0.77767358 1.58092573 0.73792648 0.66173504 0.28343164 0.64433099
##  [2719] 0.77715984 0.60423032 0.28559990 1.01142283 0.64312437 0.50509225
##  [2725] 0.19644211 0.51411451 1.51728190 1.14513200 0.21959032 0.47642991
##  [2731] 0.55265669 0.75429446 0.51359108 0.30639477 0.57177951 0.53859669
##  [2737] 1.15804736 1.14647683 0.57158614 0.92279995 0.77048195 0.77077799
##  [2743] 0.66235369 0.71880394 1.69743418 0.81180161 0.34193674 0.74813992
##  [2749] 1.16244878 0.68762795 0.26515980 1.08125101 0.56251318 1.26090708
##  [2755] 0.80586265 0.71485812 0.30905459 1.06364572 1.33203354 0.98319340
##  [2761] 0.10952653 0.79566991 0.38269307 1.80492101 0.28746775 0.65550449
##  [2767] 0.86722558 0.31501624 0.60643030 1.37280334 0.83349144 1.19267033
##  [2773] 1.32316613 0.84732633 1.54121752 0.84105434 1.03260822 0.85374058
##  [2779] 1.22011711 2.12846719 1.11671901 0.48019010 0.58990529 0.56471406
##  [2785] 0.66574926 1.00990228 0.73486422 1.05302285 0.75218747 0.51998639
##  [2791] 0.40083999 1.70988975 0.46263275 0.96403792 0.54231161 0.47269230
##  [2797] 0.58293990 0.83063567 0.43140530 0.75419289 0.77776495 0.52533544
##  [2803] 0.80995406 0.41641661 0.26584232 0.49583947 0.37091617 0.83763693
##  [2809] 0.49946301 0.42308730 0.44075074 0.58733585 0.91371448 0.67957812
##  [2815] 2.30179340 0.97389728 1.04339051 0.84159221 0.43639662 0.52588086
##  [2821] 1.19542635 0.45435836 1.41945798 0.43976622 0.89893326 0.94506120
##  [2827] 0.57687714 1.26916976 1.12386428 0.53568749 0.88179131 0.58069488
##  [2833] 0.79278196 0.82340071 0.51119615 0.13272903 1.36971108 1.02343936
##  [2839] 0.91300861 0.92832671 0.75989153 0.55741839 0.95321111 1.33638231
##  [2845] 0.40705583 0.94989914 0.54269240 0.58935792 0.34293030 0.59761505
##  [2851] 0.45407682 0.74419356 0.50290737 0.43249724 1.05108269 0.67591384
##  [2857] 0.41325413 1.29773759 0.65045091 1.57263678 0.39714558 0.56901955
##  [2863] 0.38249911 0.10937306 0.44328390 1.88529454 1.25242971 1.26617318
##  [2869] 1.64172692 0.78046643 0.54349753 0.28811223 0.45918130 0.39908107
##  [2875] 0.60859413 0.54941677 2.03253411 0.59041630 0.69855558 0.82253167
##  [2881] 1.08663384 0.24853584 0.36325415 0.37122036 1.03379225 0.27551999
##  [2887] 0.89580297 0.77773726 1.17671421 0.57208163 1.12924729 1.75817623
##  [2893] 1.33461068 0.55630671 0.55857490 1.13871259 1.02976712 0.47260970
##  [2899] 0.64953935 0.67914709 0.97322657 0.44028208 0.37110598 1.06145107
##  [2905] 0.44769099 0.52145198 0.98403243 0.83647167 0.34000251 0.50725784
##  [2911] 0.31072591 0.66851300 0.30347940 0.61537256 1.37176336 0.31330502
##  [2917] 0.42460553 0.80203214 0.62627409 0.63802205 0.74087725 1.04542393
##  [2923] 1.05934909 0.82904562 1.16722750 0.94197354 0.89832889 0.53909737
##  [2929] 0.60692725 0.42502292 0.44747282 0.50915300 0.43752955 0.36183473
##  [2935] 0.25041476 1.58328319 0.59465752 0.65758844 0.82375784 1.09642799
##  [2941] 0.66609401 0.38328104 0.64335121 0.83439327 0.54328378 0.74548375
##  [2947] 1.08908809 0.46858721 0.22052272 0.62326251 0.61956210 0.78401888
##  [2953] 0.86021727 0.60672121 0.57400453 0.76966978 1.34669785 0.84660376
##  [2959] 0.55998875 0.25238931 0.63106502 0.56254886 0.85535502 1.00362857
##  [2965] 0.60222794 0.29208970 0.32091293 1.00008279 0.51078201 1.12019379
##  [2971] 1.10691486 0.73779861 2.08057752 0.80975902 0.69893642 1.47839357
##  [2977] 0.74042227 0.78617920 0.59258688 1.96397075 0.28914670 0.43429356
##  [2983] 0.79955374 0.74430334 0.65600156 1.04266250 0.65293955 0.41441577
##  [2989] 1.12660822 0.64780330 0.92405563 0.74938019 1.40307507 1.02806643
##  [2995] 0.33911527 0.92982568 1.59390468 0.73702219 0.29712156 1.55799198
##  [3001] 1.30558216 0.72188169 0.77767633 0.83446336 1.21733572 0.22068204
##  [3007] 1.46300676 0.50084721 0.19756765 0.43091999 1.22194555 0.59623798
##  [3013] 0.74925561 0.86408495 1.27672632 0.21755919 0.49893618 0.81228198
##  [3019] 1.82010297 1.06433329 0.56836502 1.28853560 1.49641549 0.63819892
##  [3025] 0.77033020 1.02185753 0.30875154 0.42979468 0.85809646 1.72653093
##  [3031] 0.67322163 0.90151503 0.63697045 0.75154482 0.53925058 0.50287189
##  [3037] 0.37013867 1.19176006 2.63009347 0.25491240 1.98713826 0.48387135
##  [3043] 0.87450932 0.13757621 1.24711679 0.46440230 0.61415710 1.13819405
##  [3049] 0.90858003 0.51943741 0.70091050 1.11182312 1.15882540 0.82149208
##  [3055] 1.59331999 1.11051948 1.10004605 0.72588723 1.47686832 0.52340279
##  [3061] 0.34356189 1.36144866 0.52283321 0.44766440 1.14593934 0.33734462
##  [3067] 0.83827388 1.28751338 0.55923605 0.49243448 0.37941683 0.55609224
##  [3073] 0.86849279 0.34860978 0.77312680 0.78718396 1.01628340 1.44489087
##  [3079] 1.24345380 1.18669362 0.18092209 1.08423825 0.56616026 1.32640384
##  [3085] 0.69666518 0.34087799 0.65028410 0.22848709 0.80095208 0.36628691
##  [3091] 0.70253523 0.19816185 0.64280808 0.86417760 1.12802375 0.98228988
##  [3097] 0.39014084 1.30846393 0.77789297 1.33225943 0.89515327 0.48239489
##  [3103] 0.42287766 0.70557844 1.19665592 0.40958923 0.71827520 0.26017422
##  [3109] 1.63305308 0.93938810 0.40437740 0.62683162 0.71886862 0.64528861
##  [3115] 1.79460913 1.25547382 0.30179917 0.30470536 0.23309950 0.21732030
##  [3121] 0.97959454 0.24821862 0.45332675 0.55911966 1.35672937 0.73041235
##  [3127] 0.64434468 0.41737487 0.50076131 0.64020902 0.40926418 0.94604414
##  [3133] 0.93799793 1.01332631 1.22919154 0.19684185 1.69979269 1.94962511
##  [3139] 0.70454436 0.58426715 0.52606264 0.20053245 0.26395074 0.47518513
##  [3145] 0.25579219 1.19883618 1.25981557 1.08959165 0.67748839 0.64583126
##  [3151] 0.37991997 0.93487775 0.38353618 0.26558148 1.15672717 0.95778285
##  [3157] 1.26431299 0.95196641 0.97100874 1.13980171 0.45485275 0.90630946
##  [3163] 0.67218852 1.66287561 2.00364189 0.69972106 0.90028199 0.49753165
##  [3169] 1.31185633 0.81747144 0.78436270 0.84151550 0.73411860 0.91340399
##  [3175] 0.65050717 0.63268313 0.53154987 0.97242729 0.68935708 1.19579901
##  [3181] 0.45885328 1.81411907 0.90060455 0.77533453 0.90114026 0.26966010
##  [3187] 1.84337330 0.90381094 0.53490501 0.33994716 0.43498882 0.82870304
##  [3193] 0.55225410 0.91894372 1.28587402 0.84299076 0.45061659 0.34272715
##  [3199] 0.79250954 0.50878288 0.75782245 0.15713303 1.46163448 0.59988027
##  [3205] 1.00848913 1.32804468 0.87549638 0.99705647 0.46462300 0.61024881
##  [3211] 0.50439722 0.39259832 0.82436586 0.39686907 1.66847145 1.37920064
##  [3217] 0.63658214 0.42562333 0.72888274 1.76902531 0.59755081 1.87821989
##  [3223] 0.66612501 0.38430722 0.64090870 0.38439572 0.84345813 1.25703783
##  [3229] 0.69215889 0.40123293 0.36481811 1.08790547 1.27847059 0.58536238
##  [3235] 1.21066648 1.07721620 0.60921316 0.47643336 0.48338795 1.68872225
##  [3241] 1.04906600 0.86473656 0.34791606 0.49226173 1.70492637 0.96022824
##  [3247] 1.21322010 0.77412817 1.06094386 0.69028595 0.80685394 0.50552943
##  [3253] 1.77224675 0.47440314 0.47107805 0.45736463 0.91015460 0.92807022
##  [3259] 1.15358873 0.59654720 0.82249171 0.83163849 0.80147401 0.82463529
##  [3265] 0.59153018 1.31928360 0.71241420 0.61722935 0.74475271 1.30131034
##  [3271] 0.36001531 1.26713279 0.55691756 0.57427272 0.47314341 0.39575419
##  [3277] 0.49188477 0.77661851 0.76826718 0.81075645 0.79226833 0.95335112
##  [3283] 0.27220152 0.60071670 0.53797618 0.96495798 0.27481121 1.32711158
##  [3289] 0.91129908 0.96179060 1.07784541 0.61229376 1.06148574 0.67693907
##  [3295] 0.82098886 0.89700490 0.56655060 0.60403553 0.42107263 1.05016085
##  [3301] 0.46485741 0.43014807 0.22389624 0.74528172 0.20939261 0.46975403
##  [3307] 0.45989424 1.06748279 0.95417693 1.43900267 0.47939597 1.26715540
##  [3313] 0.28825558 0.69281919 0.93189766 0.68237030 0.36570186 0.94620726
##  [3319] 0.44155250 0.57738477 0.67747504 0.53412943 1.76508487 0.93823024
##  [3325] 0.54081589 0.56242552 1.26340402 0.55308286 0.43866870 0.64842806
##  [3331] 1.52791270 0.50018981 0.62197920 0.98476228 0.89786996 1.32709221
##  [3337] 0.41427708 0.21000021 0.44658524 0.88933894 1.24874166 0.46136417
##  [3343] 0.57569977 0.43060816 0.55149757 0.16889140 0.86145024 1.06941125
##  [3349] 1.06247487 0.17114993 0.54710276 0.90218028 0.47476161 0.56254653
##  [3355] 0.61665840 0.64588973 1.02186887 1.78316338 1.34925403 1.21486449
##  [3361] 0.70326623 0.32600152 0.56255835 0.69881688 0.59907821 0.80422347
##  [3367] 0.95959212 0.60857558 1.46760926 0.66817044 0.22375638 1.31827872
##  [3373] 0.81058158 0.40035449 1.01120495 0.60842698 0.45371575 0.95183042
##  [3379] 0.93440782 0.39202389 1.43612708 1.21336702 0.74685953 0.53985087
##  [3385] 0.67077852 0.55943696 0.64392434 0.86540278 0.66047141 1.22474690
##  [3391] 1.48305708 0.73602835 1.36345683 0.64367899 0.31990779 0.63454504
##  [3397] 2.09863080 0.80262893 0.24700109 0.88242577 0.65508664 1.14590506
##  [3403] 1.01597679 1.01621188 0.45253581 0.68813444 0.95450668 0.48252457
##  [3409] 1.06858260 2.69983576 0.47803674 0.91110269 0.87672718 0.78884046
##  [3415] 1.11737521 1.03793321 0.82950258 0.51598356 0.44136487 0.66063046
##  [3421] 0.71085587 0.43162445 0.74967381 0.50107194 0.61813883 0.47954325
##  [3427] 0.70221373 1.33553217 0.65735134 1.15933106 0.28919864 0.64199582
##  [3433] 1.31689978 0.88918055 0.59109619 0.78409347 1.21227561 0.59911833
##  [3439] 1.58120351 0.75078260 0.24567205 0.23071588 0.47537370 0.50192374
##  [3445] 0.77667412 0.58373866 1.10849795 0.54393503 0.26821708 1.56277313
##  [3451] 0.54948966 1.18448292 0.73119490 0.75480258 0.47879944 0.36008349
##  [3457] 1.42097221 0.59364096 0.23249018 0.41867537 0.77642794 0.50207291
##  [3463] 1.04362751 0.58298944 0.55742387 0.92547620 1.24853027 0.94006040
##  [3469] 0.97885474 0.38266133 0.80303129 0.75620659 0.23777175 1.14376516
##  [3475] 1.34545126 0.80059760 0.83471473 1.60300642 0.98196604 0.50489454
##  [3481] 0.83513965 0.31230556 0.63760807 0.77529078 0.68512818 0.19719084
##  [3487] 0.64743416 0.59102923 0.91019397 1.52215849 0.84321759 0.80773229
##  [3493] 0.55295410 1.39639719 0.76637514 0.78563781 0.68747182 0.72179269
##  [3499] 0.57012222 1.29816694 1.55970138 0.36803647 1.15156550 0.49461157
##  [3505] 1.65591572 0.79853761 0.35868710 0.43797622 0.49049838 0.65651310
##  [3511] 0.38789658 0.56065704 0.29283697 0.92383291 1.25209001 0.67038512
##  [3517] 0.68000827 0.64317912 1.28426972 1.14906511 0.65728491 1.80011370
##  [3523] 1.22261183 1.32407856 0.47637030 0.68334050 0.80132729 0.20405709
##  [3529] 0.67422989 0.99958940 1.44459414 1.33621159 0.76318277 0.48228742
##  [3535] 0.51271339 1.38593046 0.81148814 0.48921756 1.54943717 0.27678532
##  [3541] 0.25097525 0.79188931 0.21676454 0.32655443 0.51486753 0.76212755
##  [3547] 1.03032660 0.70867442 0.61119437 0.39277709 1.60854370 1.44571035
##  [3553] 0.81796660 1.38350858 1.10606655 0.86065938 1.13263916 0.68406735
##  [3559] 1.08769134 1.17164633 1.31320808 0.79776848 1.96315818 0.50561415
##  [3565] 1.86501701 0.70586969 0.71634069 0.43921344 0.57523204 0.32945248
##  [3571] 0.61141944 0.66921154 0.60455386 0.63037457 0.52681569 0.25519480
##  [3577] 0.60065666 0.52150408 0.47922061 0.47781969 0.40614247 1.16334050
##  [3583] 0.49627756 0.37319689 1.24785554 0.13753492 0.46198971 0.97603744
##  [3589] 0.34957835 0.79562004 1.70511742 0.40083344 1.16331643 0.85366980
##  [3595] 0.53869157 0.72172398 0.40237686 0.74084740 0.75238709 0.47059139
##  [3601] 0.90244365 1.57087220 0.21021595 0.58249799 0.29015250 1.09088128
##  [3607] 1.21643144 0.79236142 0.96895354 1.34245300 0.83903349 1.38354434
##  [3613] 0.81707664 0.39524033 1.34552031 0.45743081 0.32068442 0.91744535
##  [3619] 0.61180696 0.26158250 0.79849174 1.60856131 0.97675928 0.85742170
##  [3625] 0.48503649 1.33936110 1.06044062 0.45066832 1.44854366 0.81676789
##  [3631] 0.69473380 0.46910291 0.65963113 0.94405046 0.81186674 0.22457730
##  [3637] 0.97616708 1.32961073 0.77665821 1.51279970 1.35714391 0.79513029
##  [3643] 1.03299793 1.37795557 0.86924883 0.70262074 0.73287849 1.06125198
##  [3649] 0.38426232 1.13624040 0.90721252 0.59691407 0.22373337 0.55563084
##  [3655] 0.76350365 1.14970276 0.43721122 0.55380359 0.78138211 0.96461593
##  [3661] 0.93589898 0.52273109 0.94340966 0.58335618 0.61496250 1.10264449
##  [3667] 0.51169548 0.30352002 1.01835041 0.91832223 0.74250935 0.72963931
##  [3673] 1.27869643 1.01744803 0.52428009 0.90246845 0.67112327 0.70653791
##  [3679] 1.07099928 1.04083665 0.74661582 0.47357361 0.66367408 0.96725728
##  [3685] 0.88296800 1.22214212 1.45944362 0.49169066 0.42591888 1.51144872
##  [3691] 1.21185931 0.73049975 0.23433434 0.81592435 1.49278008 1.45556561
##  [3697] 0.75552463 0.55627072 0.26952445 0.43346876 1.48073613 1.15495378
##  [3703] 0.38695247 0.54449709 1.50180351 0.47182771 0.84851350 0.83876662
##  [3709] 0.66270502 0.42143630 0.69020853 0.44707586 0.24838747 0.49245484
##  [3715] 0.28809083 0.65994907 1.17518283 1.20183768 0.76795692 0.44651539
##  [3721] 0.78932546 0.59470590 0.40171004 0.52212262 0.58229511 0.47935621
##  [3727] 0.90875108 0.43000900 0.30555587 0.32514076 0.87516982 0.83692670
##  [3733] 1.24718502 0.69105691 0.39302311 0.41048851 1.07721181 0.75876455
##  [3739] 0.31047429 0.68746127 0.31906466 0.46949122 0.77342080 1.92945377
##  [3745] 0.46497785 0.70317023 0.85458687 0.88195973 0.31802722 1.21102786
##  [3751] 1.18064562 0.31348113 0.93840299 1.03349706 0.70282346 0.18535914
##  [3757] 0.74351260 0.63444112 1.04468856 0.63779331 0.43004654 0.76972819
##  [3763] 0.49841940 0.14250897 1.23664265 0.93313917 0.75288820 1.17098127
##  [3769] 0.50198405 0.32470596 0.84752825 0.50596797 0.17251477 0.77428891
##  [3775] 0.24592124 0.63231087 1.03613667 0.26109571 1.34747332 0.59020159
##  [3781] 0.41547419 2.02469575 0.48593583 1.95456132 1.05710478 0.52627253
##  [3787] 1.49315350 0.15474197 0.19528725 0.59763040 0.43763380 0.77210699
##  [3793] 1.02332810 0.78597814 0.58162388 0.52542836 1.11197839 0.52084130
##  [3799] 1.24576911 0.88165438 1.01562683 0.85424347 0.51022768 0.68997844
##  [3805] 1.02476445 0.47850834 0.36754867 1.60025744 0.92239678 0.62358080
##  [3811] 0.38728706 1.15961826 0.71483040 0.64165066 0.21341296 0.72811106
##  [3817] 1.02790241 0.22014363 1.40061007 1.06941134 1.31090953 0.82100010
##  [3823] 0.44554565 1.21280631 1.20724858 1.42620268 0.67707441 0.49524707
##  [3829] 0.70771956 0.24668275 0.65340066 0.58544211 0.59639335 0.72010451
##  [3835] 1.22512621 0.61227649 0.97266288 0.67070310 0.38137999 0.53710620
##  [3841] 0.84844827 0.51149362 0.86711726 0.69581681 0.14587574 1.22755913
##  [3847] 0.65269485 0.39293751 0.17737703 1.48052774 0.30912020 0.95793514
##  [3853] 0.82199913 0.26925487 1.02046137 1.35155839 0.22702489 0.69822513
##  [3859] 0.68967016 0.23201045 0.46108206 0.46071062 1.43224751 0.46660998
##  [3865] 0.92476152 0.28053395 0.68573717 0.72846558 0.50481609 0.61250906
##  [3871] 1.22579118 2.06415951 1.26505807 0.94179319 0.82357788 0.50692877
##  [3877] 1.00438614 1.24579562 1.05474106 0.90043347 0.88387937 0.84704637
##  [3883] 0.92302214 1.28919167 0.67864853 0.40256006 1.05707477 0.29180568
##  [3889] 0.80977865 1.06566679 0.89328971 0.57823645 0.64802812 1.45151296
##  [3895] 1.27682300 0.76734214 0.46249222 1.06490927 0.35646997 0.82913518
##  [3901] 0.42757023 0.62214996 0.63312199 0.81272898 0.24972579 0.41723269
##  [3907] 0.42125098 0.47851430 1.62745902 0.83740715 0.97650792 2.03857213
##  [3913] 1.13085755 0.72495290 1.83219805 0.73682197 1.20956175 0.83516827
##  [3919] 1.16338800 0.35779886 0.41489426 1.05337491 0.72435559 1.12346510
##  [3925] 1.15499750 0.70359422 0.61715658 0.96506253 1.06778095 1.10490569
##  [3931] 0.44542283 0.74509849 0.65439692 0.86851444 0.78667049 0.47035123
##  [3937] 1.02984713 1.60131529 0.84254156 1.41054041 0.44924245 0.32412211
##  [3943] 1.14714459 0.76105144 0.39938835 0.33104042 1.31361270 1.27313435
##  [3949] 1.13851110 1.11510161 0.90122605 0.54394550 0.68415798 1.12271039
##  [3955] 0.66498824 1.89913380 0.89466445 1.54175009 0.87159366 0.89052314
##  [3961] 0.32128359 0.97638450 0.13454128 0.25171866 0.83566137 1.10250768
##  [3967] 0.77974847 0.73813261 0.45118419 1.00793140 0.56876142 0.45216850
##  [3973] 0.61885930 0.99945810 0.32628202 0.97832081 0.71854512 0.73012591
##  [3979] 0.65625544 0.44961552 0.31873268 0.80408695 1.28074702 0.55632928
##  [3985] 1.26177801 0.28264286 1.04320523 1.43861635 0.66909963 0.51186852
##  [3991] 1.64923486 0.59825737 0.46430242 0.58922953 0.36123020 0.86104933
##  [3997] 0.74266520 0.49195536 0.42288567 0.79268685 0.97427992 0.69476224
##  [4003] 0.42478579 0.72671181 0.71426735 1.83474811 0.54382048 0.45690905
##  [4009] 0.60567803 0.84102101 1.04872077 0.92408373 0.67754653 1.24729764
##  [4015] 0.52001743 0.77506981 0.66065183 1.05866279 1.11630595 0.90282009
##  [4021] 1.43246134 0.51920662 0.87990390 0.56989049 0.15904615 1.03173557
##  [4027] 0.21071940 0.68687733 0.44337504 0.81167303 1.32992467 0.87112318
##  [4033] 1.39497049 0.20602209 0.92129886 0.57998646 1.07184123 0.81533328
##  [4039] 0.45023037 1.04783380 1.04049620 0.69566896 1.07546578 0.51016609
##  [4045] 0.53958885 0.71507926 0.75105805 0.94062688 0.82198223 0.95790763
##  [4051] 0.15881532 0.66748011 0.18337156 0.83678804 1.10205824 0.83791973
##  [4057] 0.61598279 0.66160861 0.18110687 1.03629457 1.36371825 0.75671052
##  [4063] 1.35470219 0.52415569 1.22054040 0.45488277 1.31523757 0.19956255
##  [4069] 1.10715555 1.04307797 0.67287959 0.82759737 0.43294703 0.81812677
##  [4075] 0.93161827 0.76644454 0.40997673 0.48566609 0.82684325 2.04411225
##  [4081] 1.89304326 1.09359435 0.64105260 0.60010980 0.53457287 1.12964357
##  [4087] 0.48417472 0.20081363 0.28331620 1.11871993 0.97611435 0.73511319
##  [4093] 0.91823086 0.91379785 1.48651630 0.33896539 0.64735525 1.41334465
##  [4099] 0.46325953 1.16179605 0.72198736 1.39898331 0.78116013 0.85612841
##  [4105] 0.82803026 1.11336429 0.85136942 0.60772267 0.99132090 0.34420317
##  [4111] 0.44759116 0.87719632 0.66663823 0.76885023 0.35994319 0.69144776
##  [4117] 0.76958840 1.02886426 0.55832594 1.61575012 0.47931551 1.63294519
##  [4123] 0.48088696 1.28261033 0.96535903 0.18168365 0.48343970 0.72659100
##  [4129] 1.57233018 1.00260162 1.63000953 0.16906868 1.63349474 1.37099243
##  [4135] 0.94971194 0.64782713 0.70827220 0.62468821 0.42204660 0.82243182
##  [4141] 0.38460238 0.80357198 0.27969764 1.24021736 0.24216078 0.34904055
##  [4147] 0.85381115 0.68937471 0.59389227 0.40757226 0.93332918 0.63309483
##  [4153] 1.80704976 0.88539862 0.38617324 0.71801431 0.51199482 0.93052185
##  [4159] 0.52336174 0.28091306 0.39930746 0.64261897 0.59988548 0.54407449
##  [4165] 0.35790792 0.57636446 0.58937179 0.91610984 0.62029794 0.34033859
##  [4171] 0.51852894 1.43292567 0.83429335 0.31263246 1.32279631 1.42599168
##  [4177] 0.57460424 0.85564121 1.48285739 0.26274423 0.69750699 0.41958798
##  [4183] 1.13584292 0.55258733 0.28633818 0.78896582 1.32904759 1.12554449
##  [4189] 1.77723838 0.30323340 0.78072286 0.53134325 0.63794390 0.95401475
##  [4195] 0.33119666 0.47379733 0.54269165 0.62841931 0.47775578 0.41852066
##  [4201] 0.41420341 1.51313748 0.88182892 0.54104946 0.65436739 0.70878294
##  [4207] 0.56183327 1.55754735 1.51068182 0.30028475 0.10034664 1.33287896
##  [4213] 0.84773466 0.57528020 0.22012797 0.29414738 0.68967045 0.91138625
##  [4219] 0.56796022 1.05513742 1.42852014 0.56139269 0.78376146 2.07850477
##  [4225] 0.63815325 1.50983063 0.89517293 0.72259439 0.66312343 0.54202913
##  [4231] 1.30365479 0.72434181 0.80256586 0.60944562 0.50109497 0.93902412
##  [4237] 1.21267956 1.14115685 1.06603357 0.98276107 0.89385333 1.18147984
##  [4243] 0.35128735 1.41075896 0.67129710 0.47990652 0.22361401 0.62114300
##  [4249] 1.51578583 0.44371653 0.68559220 0.68207181 1.64542505 0.82309456
##  [4255] 0.79866282 0.67226735 1.40491320 1.26511114 0.58657491 1.05940341
##  [4261] 1.07843366 1.37634987 0.76054683 0.79357351 0.86990246 0.93864040
##  [4267] 0.58119168 1.28417392 0.58648707 0.43048545 1.16915606 0.30803393
##  [4273] 0.49658333 0.46074569 0.39853200 0.43079550 1.25485891 1.01642457
##  [4279] 1.59982026 1.16304101 1.21578628 1.59966086 0.91814500 0.62217768
##  [4285] 0.41734163 1.41990938 0.46821562 0.63498030 0.74245370 0.87947263
##  [4291] 0.87025762 0.51046431 0.68459756 0.70722250 0.95586893 0.51875529
##  [4297] 0.65834970 0.54020082 1.28351161 1.28168881 0.39404385 0.21974189
##  [4303] 0.42470236 0.34142496 0.96805006 0.94962592 0.86785766 0.26769132
##  [4309] 0.54879291 0.56632307 1.77315821 0.61600204 1.30229271 0.56942451
##  [4315] 0.87466457 0.79837787 0.69044508 0.35849358 0.94219113 0.66427941
##  [4321] 0.70888214 0.31162212 0.61161598 1.29586014 0.55325506 1.36261740
##  [4327] 1.56761262 1.82808153 1.19098391 0.70201619 1.95708200 1.01601879
##  [4333] 0.35201559 0.92762521 1.06807553 0.53306369 0.37447863 0.67305821
##  [4339] 0.49770418 0.82817201 0.45215863 1.17866000 1.28749291 0.65131692
##  [4345] 1.61873856 0.54538234 0.65833103 0.86146351 0.61852946 1.02299344
##  [4351] 0.85583645 0.92878412 0.76782354 0.51513182 0.71539283 1.36011994
##  [4357] 1.14920603 0.43124215 1.00455150 0.54856850 0.93039114 0.79304181
##  [4363] 0.90666644 1.17580958 0.41309603 1.24088915 0.66580429 0.34260637
##  [4369] 0.38692291 0.63283127 0.55231101 0.74483331 0.63567883 0.48275513
##  [4375] 0.67779775 0.87888948 1.02337966 0.66943564 1.55877928 0.82669197
##  [4381] 1.26225096 0.38695357 0.71689690 0.79561675 0.73045157 0.69403264
##  [4387] 0.62000008 1.19555039 1.05123955 0.71893510 1.94068401 0.93553765
##  [4393] 0.82314829 2.05905692 0.66978398 0.45047960 0.51421865 0.58751161
##  [4399] 0.35266238 1.21371841 0.68343825 1.22081848 1.12439994 0.95556266
##  [4405] 1.03848509 0.37512241 0.57057860 0.66966409 0.57171370 0.67438031
##  [4411] 0.24720705 1.02027887 0.75727986 0.88684242 0.52539890 0.45958255
##  [4417] 0.85666211 0.92041372 1.38500309 1.08532803 1.38763469 1.33245114
##  [4423] 0.71545390 1.25833420 0.47991345 0.75343343 0.82306493 0.77830340
##  [4429] 2.06895875 0.96792241 2.11752363 0.89477125 1.03150083 0.87685674
##  [4435] 1.14646107 1.40787299 0.77013346 0.66510574 0.58362107 0.33972844
##  [4441] 0.31371103 1.08928753 1.01522680 0.36402790 1.39299750 0.37395386
##  [4447] 0.33585263 0.57314931 0.95327834 1.33324614 1.56655086 1.05655672
##  [4453] 0.96796922 0.60125247 0.87040850 1.01653324 0.73782737 0.36208119
##  [4459] 0.82005966 0.93176141 1.07348792 0.83644095 0.67298755 0.91662753
##  [4465] 0.33245082 0.40148019 1.23615313 0.57541230 0.49451664 1.30695701
##  [4471] 1.02674682 0.53156067 1.27755694 1.73678019 1.37398693 0.35128017
##  [4477] 0.62215462 0.82916403 0.47232223 1.47732189 0.53867364 0.48261456
##  [4483] 1.49066101 1.10078805 0.08794800 0.28707491 0.90836364 0.91835384
##  [4489] 0.23234301 0.77230801 0.68527771 0.20736985 0.97268467 0.60437073
##  [4495] 0.54170319 0.49079296 0.32514657 1.17133796 0.35449020 0.79955883
##  [4501] 0.48760346 1.04926353 0.91663503 1.57337843 0.87620324 0.82959262
##  [4507] 0.16729085 0.92376791 0.77117636 0.36510750 1.23339570 1.34432107
##  [4513] 1.24989495 1.08519194 1.21767944 0.53529259 1.45199647 1.13057201
##  [4519] 0.72004380 1.12093293 0.21712501 0.73054094 0.67064998 1.04597394
##  [4525] 0.79930509 0.46667791 0.88024513 0.88754222 0.66572357 0.57647361
##  [4531] 0.71722931 0.49029908 0.60067503 0.58761545 1.37959547 0.86396170
##  [4537] 0.45107535 0.99171911 0.87235514 0.53798493 0.62452848 0.67186127
##  [4543] 0.46305999 1.25346348 1.28015295 0.94516430 0.57106492 1.32127458
##  [4549] 1.23591147 0.81430600 2.26974730 0.73889198 0.46904361 0.55276119
##  [4555] 0.32397033 0.79373602 1.26335202 1.85641028 0.97732975 0.50131610
##  [4561] 0.79451427 0.99160552 0.31409344 0.59630288 0.54194820 0.82675322
##  [4567] 0.47297370 0.80930355 0.68480562 0.30584068 1.09680034 0.63987334
##  [4573] 0.43802555 0.48335856 0.42617898 1.11313321 0.97560442 0.43046328
##  [4579] 0.76054187 1.16867478 0.50572714 0.50513985 0.35492333 1.66084616
##  [4585] 0.60410059 0.74627409 0.29110408 1.10313435 2.71291160 1.50279936
##  [4591] 0.80159167 0.38301833 1.30031529 0.31834153 0.47296960 0.45077905
##  [4597] 0.66247130 0.71991127 0.81395348 0.39390551 1.18459383 0.76178672
##  [4603] 0.63070558 1.81483448 0.95418116 0.73455788 0.79092551 0.75247525
##  [4609] 1.04168049 0.69200526 2.22935204 1.57081122 1.13590798 0.96217019
##  [4615] 0.44995478 1.12879381 0.74231904 0.69008484 0.90898453 0.62748029
##  [4621] 0.92438726 0.61841678 1.14548596 0.43067526 1.07087907 0.32071974
##  [4627] 0.27053865 0.63292720 0.60659992 0.74677647 1.03731478 0.54762407
##  [4633] 1.31038741 0.96913060 0.65294509 0.26636032 1.36252226 0.67513255
##  [4639] 0.48381223 1.16038422 0.70925678 0.98522226 0.64390514 0.83003296
##  [4645] 0.42919940 0.49025984 1.01433367 0.72166792 0.65114948 0.56299048
##  [4651] 0.31828451 0.78965122 0.47104290 0.67052050 0.72252613 0.26328652
##  [4657] 0.72683772 0.43080414 0.31649902 1.24373124 0.44524304 0.74164366
##  [4663] 1.37993035 0.70359348 0.64027211 0.59285025 0.68040997 0.27467055
##  [4669] 0.61497843 0.18663092 0.38110407 1.26028447 1.74428068 0.99074081
##  [4675] 0.80832732 0.67653428 0.47529526 0.36554563 1.08343840 0.80904155
##  [4681] 1.10629352 0.99641086 0.30438110 0.96055758 0.76925980 0.92803308
##  [4687] 0.28638572 0.35838119 0.51567455 0.75466920 1.42500414 0.90320119
##  [4693] 0.95453655 0.35248590 0.93570156 0.59400983 0.52902730 0.55614255
##  [4699] 0.15344543 0.76627712 0.45834783 1.19444644 0.59105830 0.66624224
##  [4705] 0.46405952 0.30716306 0.78732409 0.50908574 1.39790878 0.72435037
##  [4711] 1.15684270 0.77727444 1.05644996 0.16759077 0.95935433 1.99846451
##  [4717] 0.50494634 0.14933103 0.65896465 0.46642793 0.25585625 0.48910887
##  [4723] 1.18118891 0.80650964 0.65041649 1.19952663 0.51421837 0.94452023
##  [4729] 0.26291631 0.72323344 0.92839046 0.91339487 0.39207021 1.15972326
##  [4735] 0.42529476 1.98823317 1.23341593 0.74765099 1.68630369 0.93897295
##  [4741] 0.30805794 0.82243886 1.15507243 0.58926713 0.80938367 1.59069746
##  [4747] 0.38533427 0.50885651 0.77394529 0.48922229 0.86533118 1.07578263
##  [4753] 0.70503121 0.75855342 0.84536867 1.02957912 0.55097504 1.05780155
##  [4759] 0.40110732 0.45635621 0.62810508 1.46001320 0.49595869 0.48705810
##  [4765] 0.70435694 0.73149847 0.82051220 0.72923475 0.73154401 0.35377837
##  [4771] 1.44034810 1.03633712 0.51395422 0.66433187 0.58098782 0.64191091
##  [4777] 0.42833644 0.35446259 0.86233440 0.89786065 0.53274287 0.54643585
##  [4783] 0.68136827 0.48132667 0.62164894 0.66349127 2.29279101 0.29459764
##  [4789] 0.87634371 0.55012711 0.50828506 0.23728420 0.69077983 0.72436719
##  [4795] 0.61684300 0.54874288 1.13383286 0.40237079 1.93093720 0.46479014
##  [4801] 0.63454390 1.17556393 0.31182634 0.99147993 1.18847091 0.40080050
##  [4807] 0.62606107 0.75729379 0.91237088 0.79382474 0.35968148 0.66647151
##  [4813] 0.76213904 1.28612251 0.26585014 1.25105080 0.39976448 0.79801139
##  [4819] 0.57410181 0.67759423 0.45300178 1.16139128 0.48581294 0.48222716
##  [4825] 0.57058093 1.29410999 0.63807261 1.13796741 0.53654854 0.59001400
##  [4831] 0.60858669 1.57457300 1.68487443 0.30178969 1.03768819 1.36274644
##  [4837] 1.00645149 0.41427800 0.73771772 0.38681806 1.35595315 1.73220018
##  [4843] 0.48592998 0.80946265 0.99764022 1.18349481 0.83316305 0.15349471
##  [4849] 0.73401488 0.74288655 1.61231200 0.67723475 1.30535012 0.85943968
##  [4855] 0.46284057 0.59022339 1.21789127 0.63583108 0.80258551 0.52209059
##  [4861] 1.36164857 0.34022626 1.02602935 1.25446549 1.22217115 1.12478315
##  [4867] 0.31342404 1.29782324 0.72913059 0.59333028 0.35619978 0.79738476
##  [4873] 0.96530727 0.29410799 0.32827091 0.95503370 0.79443227 0.68842833
##  [4879] 1.22526950 0.47434347 1.58066085 0.77081715 0.27963639 0.72051591
##  [4885] 0.32159301 1.07131084 0.56583467 1.20472722 2.01160824 0.83250754
##  [4891] 0.92046578 0.89092296 0.66252645 0.50128603 0.62979157 0.55971587
##  [4897] 0.92965875 1.39437291 0.47778366 0.51839536 1.10600632 1.17759467
##  [4903] 1.18330676 0.37264402 1.47866140 0.60640039 0.77080159 1.00914682
##  [4909] 0.86925756 1.54610822 1.27021690 1.35077020 0.17777039 0.90521521
##  [4915] 0.78916728 2.08731382 0.41671424 0.29210799 0.64712413 0.52424895
##  [4921] 2.93669766 1.49149555 0.46282445 1.13864805 0.41570331 0.70572376
##  [4927] 1.29287244 0.37386186 0.35565065 0.86647199 0.66782630 0.36663613
##  [4933] 0.94087536 0.61828319 0.56194674 0.77801350 0.96355581 1.32898955
##  [4939] 0.37452960 0.94253403 0.70411795 1.11348507 0.66582786 0.89703840
##  [4945] 1.06929786 0.52229422 0.50577830 0.61485341 0.95050381 1.23175236
##  [4951] 1.33776015 0.79176112 0.49661633 0.69348299 1.15511707 0.81861690
##  [4957] 0.49479073 0.84776141 0.91875086 0.87176463 0.59557241 0.81168621
##  [4963] 0.43937178 1.27629102 0.37857087 0.61756137 0.91749979 0.85158948
##  [4969] 1.18577750 1.83347138 0.96534428 0.70918940 0.32430371 1.04838955
##  [4975] 0.41846719 2.03322219 0.27422696 0.39708017 0.67538027 0.56199676
##  [4981] 0.52345074 0.15639267 0.99918634 0.75219115 0.35975849 1.17045496
##  [4987] 1.16144705 0.76818954 0.90244790 0.36306059 1.30906168 1.11811889
##  [4993] 0.70799203 0.85382930 0.95415057 1.55060648 0.45787156 1.11206231
##  [4999] 0.59534162 0.61431274 1.46375084 0.81955577 0.18289406 1.42295131
##  [5005] 1.02485428 0.45142739 0.47988284 1.06403189 0.82754301 0.54648776
##  [5011] 0.68682673 0.30140672 0.70352524 0.80610030 1.00826486 1.13854458
##  [5017] 0.53049318 1.14341365 0.81528871 0.87557791 1.16212801 0.48475868
##  [5023] 0.64628702 0.42814155 1.48837587 0.44887578 0.74940944 1.32468246
##  [5029] 1.02773731 0.20442833 0.63266469 0.79380207 1.55332198 0.89577793
##  [5035] 0.76260083 1.51966522 0.43629329 1.48186697 0.61139058 0.45903189
##  [5041] 1.07460141 0.29188797 1.10134500 1.19360408 1.39059713 1.17470542
##  [5047] 0.46564129 0.43743428 0.38993173 0.59738150 2.52451076 0.94800172
##  [5053] 0.61538841 0.67935566 0.81589413 0.64491577 1.15409753 1.14778371
##  [5059] 0.31901750 1.70932647 0.56203911 0.55128323 1.29673761 0.61994322
##  [5065] 0.44263169 0.48334845 2.60653508 0.90838137 1.08019842 0.75060620
##  [5071] 0.60821878 0.78864829 1.11644730 0.75525834 0.76157616 1.31850613
##  [5077] 0.93646886 1.74446457 0.75322482 1.22262377 0.94512123 0.64175728
##  [5083] 0.40623905 0.93059760 0.18857530 1.01801732 0.55188331 0.98434869
##  [5089] 1.45772330 1.07146726 1.13454765 0.26448159 0.50434086 0.54775601
##  [5095] 0.38557226 0.54287362 0.43672643 0.37011382 1.90080040 0.46412092
##  [5101] 1.26110730 1.44868388 0.97736757 0.71655018 1.00556694 1.04421392
##  [5107] 0.85657341 0.77507037 0.75727611 0.94253262 0.39573467 0.47287982
##  [5113] 0.83496600 0.79925032 0.36634257 1.07904734 0.46500246 0.95443880
##  [5119] 0.45956565 0.29237288 0.56788848 1.13741156 0.90747188 0.47563727
##  [5125] 0.84554895 0.95150584 1.31546395 0.96684090 0.44497295 0.58297389
##  [5131] 0.89728997 1.62775078 2.49535504 0.90058322 0.78327864 0.93188102
##  [5137] 1.16177716 0.93653453 0.79511163 0.81548676 1.84845818 0.58507902
##  [5143] 0.53504588 0.24250339 0.11984689 0.78768492 0.97093425 0.83232072
##  [5149] 0.88627113 0.51551870 0.11713848 0.49147410 0.22125327 0.88474758
##  [5155] 0.37414781 0.96575077 0.96076145 1.14397329 0.47854357 1.10821615
##  [5161] 0.39216037 0.86048086 0.56560461 0.91227366 0.43466926 1.33240369
##  [5167] 0.99320502 0.38927309 0.50443024 1.28580548 0.37032089 0.27407570
##  [5173] 1.71847696 0.69563182 0.70610549 1.16334970 0.84429500 0.90996090
##  [5179] 0.31371172 0.99574838 0.93766636 0.70182672 0.16166893 1.03912011
##  [5185] 0.76967850 1.24744920 0.94553546 0.80970638 0.58917660 0.48073283
##  [5191] 0.69297429 0.66355133 1.19553179 0.84799188 1.27203131 2.03022852
##  [5197] 0.62874044 0.50139393 0.71335093 0.38026923 0.87546498 1.92690162
##  [5203] 0.62116656 0.75861072 0.52631595 0.91935365 1.70255893 0.67266506
##  [5209] 0.12671533 0.42999413 0.65712953 0.54774341 0.76426597 0.64066224
##  [5215] 0.85502012 0.60934633 0.80455223 0.37943113 0.66354481 0.27196351
##  [5221] 0.87383774 0.37939084 0.73474797 0.70931522 0.46396337 0.56282866
##  [5227] 1.68954839 0.59288683 0.36232858 0.42590307 0.90453020 0.88101507
##  [5233] 0.41490496 0.60382135 0.67645819 0.34404548 0.45491342 0.70125751
##  [5239] 0.48190476 0.91201352 1.14405738 0.70971883 0.51111206 1.32528167
##  [5245] 0.38420986 0.55520177 0.23509854 0.49456978 0.24539410 0.51748145
##  [5251] 0.93340079 0.50372640 0.80639179 0.93121501 0.23422681 0.93739934
##  [5257] 0.32046618 0.65079863 1.05876455 1.15317519 0.57496895 1.55587691
##  [5263] 0.99874563 0.90518538 0.80277190 0.49321008 1.54475586 0.58529051
##  [5269] 0.94716270 1.97483216 0.72392141 0.97687621 0.77582610 0.79040166
##  [5275] 0.27616201 0.19291799 0.59205270 0.61785813 1.47462798 0.50942998
##  [5281] 1.04667282 0.55351233 0.75787123 0.78801893 0.94237409 0.79021485
##  [5287] 1.58968504 0.44690165 0.47246543 0.48850511 0.48814919 0.74586872
##  [5293] 0.67128764 0.23003577 0.45986730 1.28430897 1.26302150 0.60471188
##  [5299] 0.97902511 0.57184198 0.73395246 1.06587495 0.50269066 0.69724238
##  [5305] 0.40397607 1.23630489 1.86295054 0.85140040 1.22015070 0.17331841
##  [5311] 0.79767328 0.89448410 1.19105529 0.64868826 1.26656025 1.14611076
##  [5317] 0.80854720 0.36595280 1.24217852 0.76357137 0.19505544 0.20806488
##  [5323] 0.69905764 0.56574271 0.49314115 0.82698762 0.44874083 0.78070512
##  [5329] 1.14383184 1.67399581 0.65416354 0.94434656 1.04823171 0.52872481
##  [5335] 0.45722749 0.36633105 1.26499032 0.78601063 1.33408209 0.56928342
##  [5341] 1.39665896 0.96724065 0.77795685 1.12580750 1.06497092 0.80104953
##  [5347] 0.50318725 0.64202881 0.39339543 0.69994505 1.04271994 0.89405215
##  [5353] 0.56355064 1.54758899 0.97283707 0.66910701 1.18947909 0.63414486
##  [5359] 0.74798407 0.44298782 0.65374841 0.91364715 0.72394249 0.44268732
##  [5365] 0.62846140 0.63427494 0.68879923 0.71197632 0.43494702 0.97496084
##  [5371] 0.51297560 0.74571082 0.91716900 0.78749594 0.49411627 0.29864770
##  [5377] 0.71995062 1.13245185 0.58566401 0.43827582 0.73322608 0.62235978
##  [5383] 0.30155614 1.18263670 0.39722026 1.38189533 0.67958198 0.54660770
##  [5389] 0.65050309 2.19035537 0.64167168 0.63240526 0.81531367 1.49886005
##  [5395] 0.38141544 1.04615840 0.73871500 0.55471133 0.48451553 0.54680526
##  [5401] 1.65777130 0.78816729 0.73848867 1.20694442 1.35630260 0.54147703
##  [5407] 0.57270932 0.72830475 1.43374398 0.64121144 0.88914894 0.56958172
##  [5413] 0.64664470 1.83540833 0.89435906 0.83645434 1.06248032 0.96515899
##  [5419] 1.01054384 0.81688651 0.52274979 1.06494352 0.28590155 0.11986195
##  [5425] 0.22082437 0.20734517 0.75757615 0.52287378 0.35037556 0.86087438
##  [5431] 0.27389191 0.73624294 1.43483615 0.62343342 0.67133961 1.11740646
##  [5437] 0.60887894 0.23355828 0.93514628 0.67485800 0.93286024 0.80164331
##  [5443] 0.56035729 0.38525489 0.43660889 0.96482820 0.88045907 0.88112664
##  [5449] 0.65370125 0.92510854 0.89895503 0.67369444 0.42159706 0.25116273
##  [5455] 0.78750410 0.47248896 1.07977040 0.55342830 0.74133848 0.44678180
##  [5461] 1.29709545 0.48745383 0.42379656 1.39221004 1.37074979 1.38025511
##  [5467] 0.59550396 1.45329061 1.36137491 0.62725955 0.74038124 0.88348856
##  [5473] 0.21326308 0.91545566 0.61761760 0.59568961 0.62837040 0.71668208
##  [5479] 0.17859456 0.93653830 0.41387009 0.64775496 0.98217715 0.60127744
##  [5485] 1.23839773 1.48072219 0.54226147 1.43947394 0.50388687 0.51468011
##  [5491] 0.89273368 0.49500031 0.65364997 1.47718737 0.65013896 0.67924882
##  [5497] 0.24018847 1.37952001 1.07313206 1.19949943 0.61168487 1.26054183
##  [5503] 0.46510089 0.44612660 0.94834892 0.21062436 0.91754003 0.59269144
##  [5509] 0.42723658 0.46964022 2.12170589 0.44422696 1.48247567 0.83167965
##  [5515] 0.39261867 1.29325626 0.52347820 0.79695794 0.57807461 1.05784300
##  [5521] 0.47532963 0.38829474 0.75967219 1.50959172 0.49313113 0.69350879
##  [5527] 1.04977033 0.93347542 0.67252963 0.40941730 0.64783461 0.74462504
##  [5533] 0.92036437 0.62197518 0.64104163 0.51761610 0.98484371 0.89213955
##  [5539] 0.95284947 0.65451388 0.93417545 0.84326837 1.41239621 0.72233003
##  [5545] 0.73908007 0.49033356 0.61187067 1.05869886 1.10589195 1.22780692
##  [5551] 1.24208819 0.92536700 0.87335429 0.65963521 0.57102839 1.22853192
##  [5557] 1.09849027 0.78073462 1.33001975 0.94663132 0.98276427 0.26147475
##  [5563] 0.71268195 0.88894881 0.83299007 0.20109643 1.39429996 0.84727821
##  [5569] 0.74745399 0.38036248 0.50968503 0.92134899 1.43516644 0.27258141
##  [5575] 0.45916467 0.26087109 0.42108592 2.30633714 1.14987592 1.14159325
##  [5581] 0.54107238 0.38598239 1.50466660 1.33268699 1.23473789 0.84345430
##  [5587] 0.72059300 0.92999498 1.14813705 1.44705766 0.95065214 0.78688355
##  [5593] 1.01957791 0.70174193 0.42935327 0.90401355 0.60186157 0.69546727
##  [5599] 1.16664038 1.54328499 0.50180310 0.29266747 1.42516134 1.12574730
##  [5605] 0.77247946 1.10749474 1.28536637 0.79570775 0.78856674 0.77589525
##  [5611] 0.89926386 0.31036587 0.41243716 0.76421061 0.44360096 0.64959479
##  [5617] 0.23649698 1.03308209 0.44793100 1.32922188 1.01417199 0.83794489
##  [5623] 0.20783576 0.91136143 0.51501556 0.81850065 0.68733000 1.40698117
##  [5629] 0.53548554 0.90876531 0.64171600 1.00859962 0.84863231 0.85585810
##  [5635] 1.16376383 0.43419741 0.55777585 1.13328840 0.76803292 0.36739002
##  [5641] 0.65786418 0.94115351 0.29089993 0.57493716 1.75277236 0.39279211
##  [5647] 0.76502008 1.02505220 0.52839935 1.42399690 1.08226118 1.82294993
##  [5653] 0.50824101 0.55085048 1.01339393 0.56096185 0.35874540 0.56646259
##  [5659] 1.14044401 0.59917880 1.45663491 1.42603681 0.34162132 0.64210687
##  [5665] 0.73788641 0.76441193 0.74875655 1.18886358 0.51340919 0.77368964
##  [5671] 1.31462041 0.43162819 1.38248078 0.23895251 0.95700120 1.40873365
##  [5677] 0.45724700 0.33308773 0.77943452 0.32279396 0.13462278 0.55900613
##  [5683] 0.63453929 0.89699367 1.41092635 0.28549488 0.41120763 0.75238081
##  [5689] 0.56380995 1.01332656 1.43584676 0.41841731 0.70846719 1.06517946
##  [5695] 0.44032059 0.86325725 1.62906867 0.89059951 0.64706115 0.45257210
##  [5701] 0.81852011 0.49110349 0.76712657 0.81908602 2.38468240 0.90656380
##  [5707] 1.33777547 1.39290224 1.10826490 0.60615793 0.68677783 0.57843152
##  [5713] 0.75308147 0.83080091 0.37507411 0.74169981 1.45817015 0.75813610
##  [5719] 0.47270452 0.77386668 0.61436645 1.19803961 0.69986930 0.36172698
##  [5725] 1.49267964 1.08646889 0.72983264 0.60444478 0.45069656 0.78874696
##  [5731] 1.09756627 0.29754572 0.59792753 1.31267470 0.73970652 1.28046882
##  [5737] 1.08795579 1.11538463 0.81808463 0.39552311 0.65377347 0.44846859
##  [5743] 0.84629744 0.58964376 0.98974918 0.77808243 1.66989221 1.17970524
##  [5749] 0.30507453 0.48449354 0.41753511 0.41220751 0.88963629 0.40760066
##  [5755] 0.57530926 1.41470858 1.09090321 0.66745232 0.57723535 0.81458668
##  [5761] 1.06835025 1.68522964 1.90369096 1.42783022 0.26404690 0.76756279
##  [5767] 0.43326288 0.46812908 0.80467702 0.67364232 0.88158627 0.43128700
##  [5773] 0.25390900 1.03040565 0.51483741 0.69610873 0.79965728 0.80201835
##  [5779] 1.70089311 0.54267505 0.42459111 0.87165808 0.52281778 0.42364590
##  [5785] 0.29194333 1.30563269 0.26419346 0.66020202 1.51426266 1.53569519
##  [5791] 0.24585117 0.60904803 1.65866149 0.40018078 0.61930715 1.22963401
##  [5797] 1.15171201 1.25643639 1.31521137 0.83006298 0.70104699 1.05973789
##  [5803] 0.70972991 0.37227692 0.73294843 0.94697394 0.45398062 0.44980252
##  [5809] 0.80458864 0.79680293 0.66405595 0.78494830 0.52298518 1.90698463
##  [5815] 1.16082099 0.60442429 0.64016639 0.73288644 1.59197397 1.49048300
##  [5821] 0.55240546 0.15000451 0.57551500 1.43157752 0.82481116 0.41357085
##  [5827] 0.54040467 0.91572437 1.64699677 0.44157100 0.60163564 0.27286468
##  [5833] 0.51316692 0.79127272 0.50437156 1.25042516 0.62820459 0.35359437
##  [5839] 1.78363253 0.43652195 1.45598500 1.68801653 1.03370283 0.42303288
##  [5845] 0.56859355 0.85445127 0.62956909 0.65148582 0.21691642 1.12220879
##  [5851] 0.71994965 1.06022248 0.81663979 0.64336653 1.09658448 1.55714201
##  [5857] 0.77913653 0.96054082 1.80213782 1.22187661 0.48056409 0.49824443
##  [5863] 1.09127867 0.87072171 0.56007357 0.56634087 0.54435808 0.48523579
##  [5869] 0.47732416 0.46337267 0.56113406 1.08520681 1.73171067 1.31308529
##  [5875] 0.92905212 0.46172871 0.94193347 0.22745231 0.25201282 1.00736673
##  [5881] 0.74990607 1.04368166 0.94719895 1.15570660 0.42595397 0.87918856
##  [5887] 0.47060202 0.28397947 0.80953484 0.30102842 0.83870020 1.06423054
##  [5893] 1.12689417 0.89118278 1.07030932 0.31233297 0.90502751 0.70233924
##  [5899] 0.75749213 0.28658092 0.66678829 0.54861512 0.52587570 1.87825578
##  [5905] 0.98300101 0.73833457 1.09737619 0.73615899 0.69457579 0.28896236
##  [5911] 0.55218001 0.54957280 0.68731421 0.88761994 0.87583055 0.49505638
##  [5917] 1.11687966 0.67962148 0.98143610 0.35912501 1.40777513 0.68306984
##  [5923] 0.48076774 0.40529277 1.04478814 1.99948237 0.86190075 1.02401317
##  [5929] 0.17306729 0.40180977 0.39666687 0.69508159 0.46555231 0.67595382
##  [5935] 1.62466572 1.14828190 0.89410750 1.69990598 1.33928473 0.34374982
##  [5941] 0.79329019 0.80497430 0.56438170 0.56245311 1.48067379 0.31606918
##  [5947] 0.86231230 0.28043854 0.29453151 0.52372986 0.43577883 1.58389712
##  [5953] 0.40161906 1.39659323 1.18123972 0.65522324 0.49391814 0.34271644
##  [5959] 0.93751316 0.88080900 0.96441582 0.64138429 0.37688793 0.55711227
##  [5965] 0.73537761 0.67644916 0.88831382 0.68680386 0.17656611 0.75147435
##  [5971] 0.49504295 0.69981308 0.35308300 0.73430380 1.45187997 0.63413783
##  [5977] 0.80772957 0.44568432 1.92404846 0.61251248 0.65402081 1.20283491
##  [5983] 0.29946833 0.26230606 0.67142666 0.85597390 0.42195114 1.12541661
##  [5989] 0.86168551 0.74400900 0.57033609 0.62455788 1.00372089 0.70439942
##  [5995] 1.03298299 0.82265794 0.96377707 0.38403448 1.88627427 0.50085360
##  [6001] 0.43266267 1.58011456 0.96957296 1.15812943 0.46654921 0.70605047
##  [6007] 0.43370112 0.61572139 0.75185814 0.37900661 0.54832391 0.64181858
##  [6013] 0.54484822 0.58550893 0.53594112 0.48675348 0.27507944 0.71860815
##  [6019] 0.42168546 0.59048590 2.23626558 0.42404706 0.76692181 0.75686562
##  [6025] 1.41204089 0.54789332 0.91968323 1.01106564 0.55173543 0.92065655
##  [6031] 0.63925707 0.66078772 0.35383982 1.01487936 0.11417767 1.03850381
##  [6037] 0.68756468 1.31449051 0.73731773 0.95721224 0.50941624 1.31034245
##  [6043] 0.41560756 0.93355639 0.55889719 0.78818487 0.98577477 0.87172522
##  [6049] 1.48125243 0.30621312 0.18499059 0.28076274 0.44962154 0.41517784
##  [6055] 0.71593710 0.59414811 0.46121334 1.41561296 1.23386019 0.87195406
##  [6061] 1.28061227 0.60133312 0.70251561 0.49006318 0.61145870 0.80102116
##  [6067] 0.76649148 0.59655202 1.03162566 0.64286835 0.51963402 0.87557167
##  [6073] 0.93674680 0.27111544 1.29058241 0.33513637 1.34935707 0.91723396
##  [6079] 0.67450308 0.57632446 0.18220271 0.50686644 0.83665456 0.65758192
##  [6085] 0.37707124 0.88141754 0.21103178 1.22718867 1.22192400 0.70559763
##  [6091] 0.69413365 0.36561161 1.57801969 0.60332828 0.44969033 0.90422253
##  [6097] 0.96082586 0.70801667 0.49787106 1.03412551 0.70165712 1.14322562
##  [6103] 0.47862216 1.05938533 0.98761515 0.40614657 1.11795364 1.03612287
##  [6109] 0.69772767 1.21450783 0.46223804 1.06277994 0.74551747 1.42393364
##  [6115] 0.38068975 1.14763873 0.72959449 0.70657056 0.77631582 1.15816196
##  [6121] 0.68442849 0.57988227 0.40319966 0.11339590 0.37197020 0.31966478
##  [6127] 0.68705172 0.33012183 0.27714441 0.76601831 0.79521516 0.69120970
##  [6133] 1.23781089 0.71194961 0.27753402 1.02260572 1.61130200 0.81133570
##  [6139] 1.53783830 0.45991899 0.65960954 0.55559492 0.84162899 0.29224656
##  [6145] 0.67196111 1.34174581 0.51722054 0.96462211 0.37181626 0.47569682
##  [6151] 0.69740912 0.62433140 1.29381198 0.75926971 0.40921016 0.67332893
##  [6157] 0.59502360 0.57452204 1.08488967 0.82446333 0.71143380 0.86628700
##  [6163] 0.28444646 1.08595120 0.82239221 1.18911020 0.75662953 1.07735159
##  [6169] 0.46249897 1.21076270 0.96578617 0.80094759 0.37623681 0.36192286
##  [6175] 1.84936489 1.65042568 1.71263545 0.41310527 0.19653645 0.53697447
##  [6181] 0.35388722 0.85114796 0.99825649 1.30094262 0.56396524 0.42231905
##  [6187] 1.01228271 0.39993148 0.56506936 0.42363882 0.75909007 0.70277746
##  [6193] 1.25414679 0.61132262 0.84057124 0.60361151 1.32391767 0.55200471
##  [6199] 1.37845793 1.31454848 0.78451708 0.33692110 0.31989148 1.16795527
##  [6205] 0.24535712 1.52426022 0.63722609 0.20694881 1.22761502 1.40801827
##  [6211] 1.07386862 0.74894739 1.31297603 0.26693100 0.34809057 0.16310558
##  [6217] 0.47531758 0.99907771 1.13995735 0.95216328 0.46040577 1.49568022
##  [6223] 0.47143971 0.32236068 0.24517349 0.71853090 0.51483366 1.13382996
##  [6229] 0.29724103 1.44027886 0.13472204 0.47277914 1.19486928 0.83218588
##  [6235] 0.77650224 1.54474842 0.72661561 1.01944871 0.67613092 0.39014500
##  [6241] 0.15665441 0.76558326 1.04551645 0.75043465 1.09548672 0.89120028
##  [6247] 0.93401236 1.37024621 0.49976731 0.85295420 0.59985341 0.86782112
##  [6253] 0.62607030 1.06180207 0.76840372 0.77015416 0.43923021 0.70743784
##  [6259] 0.88734741 0.64740977 0.82902341 1.16418456 0.25979243 1.53868340
##  [6265] 0.53971309 0.20032546 0.47453846 0.48692635 1.87476485 0.61585078
##  [6271] 0.85937952 0.33427562 1.90943156 0.96200269 0.80833306 0.17809292
##  [6277] 0.55182413 0.45069445 1.09118824 1.60591110 1.58784369 0.82526972
##  [6283] 1.25618447 0.52935856 0.26993627 0.26106572 0.41909405 0.96180953
##  [6289] 0.50954254 0.80896817 0.62340835 0.28166821 0.96475648 1.33148835
##  [6295] 0.61374438 0.96708949 0.34196952 0.92077629 0.45637399 0.41363390
##  [6301] 1.30570134 0.66387908 0.46919292 1.24580398 0.35002937 0.50716419
##  [6307] 0.55623451 0.93567302 0.35837088 0.64288156 1.07209508 1.14612969
##  [6313] 0.55054227 0.78452479 0.91603952 0.99213352 1.76876895 0.24829240
##  [6319] 0.72396399 0.36911374 0.81384004 0.68835885 1.00564580 0.32994863
##  [6325] 1.46730892 0.61627829 0.66364977 0.61844451 0.37371622 0.88433654
##  [6331] 0.61632263 0.60481989 0.72839126 1.06959194 0.57927818 1.52969545
##  [6337] 0.39636229 0.62183618 1.04110511 0.93269711 0.42719306 0.40990369
##  [6343] 0.32209293 0.49474224 0.49666801 0.43531007 1.00837415 0.59117789
##  [6349] 0.48808506 0.63574882 0.60207947 0.89361985 0.75935986 0.63518255
##  [6355] 0.23119399 0.94404376 0.29974975 0.48158875 0.65945507 0.25182417
##  [6361] 0.81375994 0.96312084 0.67327488 0.71367443 2.05381728 0.28753584
##  [6367] 1.00412333 0.67205659 0.63490002 0.84870403 0.45586332 0.80596249
##  [6373] 0.20397948 0.57275591 0.33823049 0.44013284 0.64412700 0.55518229
##  [6379] 0.65875840 0.64364719 0.42363026 0.54109885 0.83524079 0.67790537
##  [6385] 0.45677872 0.85729562 0.55318835 1.30048451 0.94003456 1.13824206
##  [6391] 0.48233694 0.82948253 0.92218005 0.75046805 0.32707803 1.11947689
##  [6397] 0.67536282 0.80658276 0.84454155 0.34137539 0.38585412 0.34035482
##  [6403] 1.58297307 0.70619742 0.38045369 1.22956253 1.78462542 0.45758275
##  [6409] 1.25073418 0.90799354 0.46174133 0.41343643 0.68940182 0.92292306
##  [6415] 2.34684591 0.74170202 0.62837045 1.60879322 0.42550946 0.59478502
##  [6421] 1.03157043 1.12873527 0.39756908 1.57974621 0.34092029 0.19308876
##  [6427] 0.71569770 0.71541448 0.41605341 0.74993067 1.46959565 0.15694698
##  [6433] 0.35604455 0.30441264 0.69136540 0.39824300 0.71681606 1.29253568
##  [6439] 0.84220102 1.10497056 0.62964477 0.67101469 0.62256755 0.61541016
##  [6445] 1.00506260 1.75762891 0.26380848 1.22652398 0.61720799 0.60846846
##  [6451] 0.51727865 0.21464420 0.34697725 0.77432219 1.15929459 0.57294308
##  [6457] 1.08590718 0.55265810 0.78259338 1.22972592 1.37775515 0.47445202
##  [6463] 0.74463357 1.10148107 0.55043455 0.17060224 0.52856264 0.42761954
##  [6469] 0.90915358 1.12602506 1.01274586 0.89015673 0.53625740 0.90632687
##  [6475] 0.67584194 0.74349746 0.83702031 0.31814995 0.89978130 0.30809320
##  [6481] 1.17808389 1.10425508 0.96175189 0.50141801 0.84270004 0.87431565
##  [6487] 0.52997880 0.46786079 0.84742475 0.58942268 0.75351564 0.51079677
##  [6493] 0.67888423 1.77359454 1.09732813 0.27543200 1.07853714 0.35287756
##  [6499] 1.02872104 0.77482456 0.45631124 1.28034273 0.88865677 0.57544395
##  [6505] 1.08280926 1.24738531 0.36552671 0.52355095 1.00914599 0.18803232
##  [6511] 1.38996703 0.24808382 0.44014604 0.92898618 0.46201818 0.77272949
##  [6517] 1.88867303 1.60756512 1.59471474 0.64133861 0.54542576 0.38915305
##  [6523] 0.28737784 0.28351395 0.85210656 0.78377078 0.96442576 1.58476605
##  [6529] 1.45426546 0.33923801 0.38987402 1.26456421 0.28812736 0.59254675
##  [6535] 0.36773054 0.91388528 0.57369593 0.48068456 0.69791357 1.53783794
##  [6541] 1.27072695 0.19948936 0.73801196 0.83083079 0.80826200 0.90129707
##  [6547] 1.40970425 0.41046645 1.03265926 0.52169065 0.52867522 1.11201942
##  [6553] 0.20538549 0.47217473 0.56868966 0.45039514 1.54173398 0.95871152
##  [6559] 0.62496252 0.54282163 1.76062327 1.06350744 0.96372728 0.51958281
##  [6565] 0.92311311 0.59620704 0.52434907 0.47646877 0.89704517 0.66772879
##  [6571] 0.86510765 0.71831767 0.90648087 0.49084554 0.63865134 1.03687101
##  [6577] 0.55489827 0.88920061 0.54710562 1.24735131 1.51028206 0.48917109
##  [6583] 0.70646073 0.37752859 0.46172845 1.71085833 0.65440950 2.33589711
##  [6589] 0.67107722 1.66899144 0.35264515 0.55601573 0.56289175 0.67778235
##  [6595] 0.60078734 0.30782236 1.02597996 1.08261106 0.83301966 1.17926399
##  [6601] 0.62079981 0.82378661 0.85152792 0.46222483 1.23398483 0.97784919
##  [6607] 0.66114792 0.24459980 1.46675534 0.52957833 0.68017740 0.69301920
##  [6613] 0.61922492 0.78885745 1.05519081 0.76430648 0.26035131 1.13126948
##  [6619] 0.91822062 0.31441035 0.24542195 0.98085072 1.00484649 0.46140369
##  [6625] 0.84506908 0.69206832 0.62367103 0.60523297 0.41579757 1.14460665
##  [6631] 0.80250394 1.19886108 1.40302667 0.69082959 1.95026658 0.65314629
##  [6637] 1.01929915 0.64685716 0.32188144 0.55744747 0.88542337 0.83649439
##  [6643] 0.86094983 1.11844003 0.58516628 1.16184425 0.81002358 0.64664909
##  [6649] 0.92070823 0.91679933 0.36544774 0.29691469 0.10353652 0.70997594
##  [6655] 0.95550051 0.54991501 0.15086328 0.46335205 0.56122990 0.66335699
##  [6661] 1.04091997 0.59029136 0.61350783 1.24409620 0.61184367 0.65907988
##  [6667] 0.49649564 0.57516677 0.20060412 0.21875750 0.94447674 0.90983457
##  [6673] 0.16427757 0.28626633 0.95964554 1.07015503 0.49771536 0.90027294
##  [6679] 1.07453354 0.32002003 0.29638149 0.30193417 0.23252331 0.67155487
##  [6685] 0.69840550 0.78120079 0.35286778 1.02012567 0.98468120 0.83676689
##  [6691] 0.15094087 0.89378274 1.44541498 0.62979739 1.69966038 0.92600708
##  [6697] 0.35467535 1.85886328 0.77881041 1.27169539 0.46415150 0.47046157
##  [6703] 1.17869960 1.05981285 1.11775332 1.18561220 0.97653538 1.08306710
##  [6709] 1.16725814 1.03639129 0.83057108 0.43676540 0.92101656 0.75629127
##  [6715] 0.45623583 1.00823177 1.94325758 2.20253185 0.74516253 0.81916528
##  [6721] 0.70959703 1.10049530 1.12876327 0.43760524 0.82120322 0.54286869
##  [6727] 0.91117886 1.11235311 0.49323300 0.75563171 0.67464957 0.65131729
##  [6733] 0.67572524 0.17773531 0.60582284 0.83581292 0.49505952 1.52915676
##  [6739] 0.42164086 0.56106423 0.58274343 1.31951440 0.46259430 0.54554200
##  [6745] 0.75794108 1.47432091 0.65733135 0.64638100 1.28245633 1.23967985
##  [6751] 0.81915721 0.45466132 0.63441146 0.47781919 0.28726665 0.43723795
##  [6757] 0.41427152 0.52103110 1.07142367 1.54211406 0.62391145 0.96575737
##  [6763] 0.80636468 0.75549094 0.32445373 1.07072088 1.52842345 0.88318212
##  [6769] 1.07104632 1.51673266 0.98701630 0.97464646 1.25360797 0.26372669
##  [6775] 1.23451860 0.48584713 0.87859729 1.09947213 0.60802328 0.82640287
##  [6781] 0.46829164 1.81060160 0.92531803 0.82053337 0.48006709 0.79740039
##  [6787] 0.65988935 0.78086281 1.31082818 0.72133183 0.44822045 0.29497189
##  [6793] 0.48045217 1.24645441 0.60515626 1.18725819 0.58186288 0.78022405
##  [6799] 0.58915100 1.13507332 0.52431622 1.02766621 0.39023874 0.58853847
##  [6805] 0.69015921 1.14710726 0.42461884 0.41348278 0.55379607 0.58890016
##  [6811] 0.80404097 2.02508743 0.42092770 0.25570636 0.24725927 0.66059486
##  [6817] 1.51893896 0.34327467 0.84262934 0.53725600 0.52207148 0.31816011
##  [6823] 0.65813703 0.22001335 0.25833983 0.85246936 0.60541940 0.86950144
##  [6829] 1.35455610 2.05559547 0.74856889 1.12611450 0.74427455 0.37497117
##  [6835] 0.77951574 0.49339838 1.25508470 0.93237387 1.63158531 1.00991932
##  [6841] 1.03085755 1.52190102 0.66821042 0.78093355 1.19834577 1.27770422
##  [6847] 0.23613771 0.42925376 0.90969423 0.57109797 0.42559809 0.55977879
##  [6853] 0.32153779 0.32809345 0.31341050 0.29410162 1.39167127 0.60159284
##  [6859] 0.71877031 0.90668668 0.40925724 0.92104534 0.74629704 1.20398748
##  [6865] 0.37556172 0.82417158 0.44272180 0.53483551 1.43750089 0.79306895
##  [6871] 1.41012518 0.34813909 0.88764187 0.71861656 0.57025931 0.82802679
##  [6877] 0.65259168 0.63255159 0.48168552 0.79084171 1.22178370 0.41109476
##  [6883] 0.93815533 0.45762492 0.51419510 0.78770891 0.94050170 0.60612620
##  [6889] 1.10341695 1.34374994 1.31642815 0.27430356 1.29033628 0.53480681
##  [6895] 1.15249688 1.13912905 0.20490609 0.56929298 1.11398165 0.65213233
##  [6901] 0.51713668 1.03023241 0.40387922 0.75402796 0.31031800 1.59094531
##  [6907] 0.21515592 1.42815264 0.97679412 0.72136942 0.98707537 0.64908516
##  [6913] 1.37970232 0.30697988 0.49365080 0.75015254 0.49766378 0.59111793
##  [6919] 0.36802117 0.39615788 1.49145662 1.03554261 0.76643955 0.65720863
##  [6925] 2.24436221 0.56208113 0.74112770 0.79904197 0.29303506 0.99920350
##  [6931] 0.46661044 0.66576217 0.71709532 1.16980392 0.27047278 1.31823109
##  [6937] 0.51754434 0.41289748 0.57033868 0.50046140 1.29504332 0.41207418
##  [6943] 0.42735872 0.97238425 0.23431782 0.88283789 0.84202066 0.46503322
##  [6949] 0.81193793 0.12882188 0.83218186 0.80045122 0.23383149 0.65640163
##  [6955] 0.87601439 0.33374925 0.34960878 0.58000270 1.15564073 0.47264265
##  [6961] 0.89573900 1.19148050 1.01856501 1.29976983 0.70794235 0.66184583
##  [6967] 1.18986995 0.68857017 0.22930142 0.95584159 0.56972035 1.00897889
##  [6973] 0.78907588 1.32206752 0.91634647 1.18464346 0.66255880 0.63797497
##  [6979] 1.08209681 0.50975886 1.01469058 1.04343287 0.49548004 0.32685542
##  [6985] 1.52001969 0.73057955 0.92045029 0.88117780 0.98502172 0.34301232
##  [6991] 1.15612650 0.70707367 1.00892615 0.55979457 0.79611946 0.22407151
##  [6997] 0.97894495 0.32120217 0.49856404 1.27630264 0.91493463 1.58811972
##  [7003] 0.18415562 0.69413582 0.46329750 0.70440239 0.94210354 1.22609313
##  [7009] 0.34085552 1.37040258 0.81822473 1.10435394 1.02490456 0.75812179
##  [7015] 0.55055568 1.06479181 0.37331113 0.35114301 1.54111935 0.81986781
##  [7021] 0.96906865 0.68331288 0.63020337 0.44657702 0.37146427 1.01607721
##  [7027] 1.31410144 1.45460087 0.75500347 0.43555061 1.01680619 1.28845509
##  [7033] 0.83515374 0.65491407 0.12570145 0.82481521 0.73344045 0.24118570
##  [7039] 0.87920323 0.65166531 0.88231282 0.68855257 0.26728071 0.78223318
##  [7045] 0.72065478 0.89870269 0.48029606 0.27182751 0.35741125 0.76148868
##  [7051] 1.32366029 0.64123151 0.44478484 0.80437511 1.09954748 0.59535783
##  [7057] 0.28508561 0.69006113 0.23448913 0.47912329 0.70001888 0.24048710
##  [7063] 0.66968415 0.38630824 1.37495771 1.11338452 0.81075167 1.76907048
##  [7069] 0.78276328 0.52679117 0.89579757 0.95478823 0.99100087 0.87425219
##  [7075] 1.41261046 0.62255131 0.51359749 1.28003709 1.40225346 1.02374565
##  [7081] 0.74117641 0.56643484 0.73975798 1.12193039 0.39430591 1.41025530
##  [7087] 0.97042075 0.93069413 1.78846052 1.13738177 1.36668405 1.11393610
##  [7093] 0.89644534 0.64716482 0.68765666 1.20237285 0.36341873 0.74879178
##  [7099] 0.39077250 0.51876628 0.11621031 0.72124190 0.19810299 0.39732246
##  [7105] 0.81024324 0.83239218 0.68922499 0.46777479 0.58718463 1.93150324
##  [7111] 0.41562982 0.29632871 1.36866662 1.29904325 0.35999372 1.11805307
##  [7117] 0.45900507 1.36725854 0.35319973 0.65742544 0.55357759 0.17477444
##  [7123] 0.64317784 0.21846406 0.49206877 0.42011320 0.85532502 1.79981057
##  [7129] 0.92592531 1.02923322 1.64842249 0.73999094 0.87909832 0.84071983
##  [7135] 1.02839175 0.81625433 0.60254244 0.45287409 0.96595429 0.53121628
##  [7141] 0.35243478 0.49883382 1.60784947 0.39867122 1.62469217 0.61901127
##  [7147] 0.78300622 0.99007586 1.09928783 0.68325136 0.26772550 0.67377583
##  [7153] 0.73030623 1.39801094 0.62156278 1.38001482 0.57329626 0.86518847
##  [7159] 0.43281069 0.68934763 0.38658581 0.51517842 1.18873810 1.44944133
##  [7165] 0.68115145 0.30230850 0.79311109 1.38582313 0.93861177 0.76728951
##  [7171] 0.35590438 0.37261742 1.51308660 0.78531729 0.91756590 1.00474212
##  [7177] 1.01524288 1.03990746 1.30425814 0.25533791 1.02501434 0.52996873
##  [7183] 0.77843760 0.24930447 0.56881670 0.29714495 0.85400140 0.28168055
##  [7189] 0.69554257 1.61125550 0.86603263 0.44027490 1.07590741 1.20798649
##  [7195] 0.85638008 0.81748385 0.80506694 0.94124258 0.59639515 1.28874993
##  [7201] 0.32669305 1.12873228 0.91493364 1.24993463 0.79737455 0.59959563
##  [7207] 0.56776991 0.50239916 0.86206961 0.21764072 0.91437052 0.56942417
##  [7213] 0.45351276 0.61251747 1.30613935 0.68575227 0.66838071 1.45170193
##  [7219] 0.86405139 0.23184946 0.60253566 0.42770562 1.25753441 0.87034218
##  [7225] 1.75394712 1.17091471 0.40387089 0.78212700 1.56280272 0.97253020
##  [7231] 0.79692809 0.47462451 0.75507549 1.11744218 1.10563680 2.34808484
##  [7237] 0.81113434 1.57860944 0.97428070 1.35655773 1.37484415 0.38149103
##  [7243] 1.01849694 0.50586955 1.08643931 0.42868657 0.42640668 1.00586536
##  [7249] 0.80860042 0.39266849 0.96338482 0.67034141 0.64167031 0.54576914
##  [7255] 0.65095602 0.90593132 1.17667627 0.97311302 0.75488999 0.38037845
##  [7261] 0.29846033 0.45083369 0.78741189 1.12024350 1.13383646 0.36657880
##  [7267] 0.37634861 0.16075409 0.62703713 0.55128476 0.61524436 0.98526912
##  [7273] 1.65200419 0.57385825 1.38078580 0.75969256 1.03261362 0.50446374
##  [7279] 0.42835193 0.28705914 1.40041484 1.07080239 0.88115310 0.40195675
##  [7285] 0.72498378 0.63964740 0.89198854 0.76544874 0.69747188 0.76734829
##  [7291] 1.35112019 1.11237913 1.19861994 0.32314573 0.89171482 0.50177268
##  [7297] 1.06129993 1.25829865 0.46595989 0.68820256 0.74103307 0.14764602
##  [7303] 0.57331331 0.13266611 1.55422380 0.42082750 0.52645087 0.97156840
##  [7309] 1.18026088 0.29297598 0.49092077 0.96468462 0.74808245 0.93837749
##  [7315] 0.63882750 1.09124306 0.43341561 0.89900557 0.47968736 1.23806962
##  [7321] 0.44541119 0.09201847 1.00767633 0.54981664 0.42605443 1.57565093
##  [7327] 0.60346064 0.95910962 0.81631287 1.12392261 1.37811782 1.37742499
##  [7333] 0.77984874 0.47853705 1.30144388 0.47623942 1.30669183 0.19260715
##  [7339] 0.16401247 1.20349243 0.24033386 0.41022384 0.67487576 0.92171754
##  [7345] 1.32628705 0.91339276 0.51015235 1.08424623 0.88130340 1.05593403
##  [7351] 1.40637043 0.56020736 0.66775531 0.45277663 1.30240164 0.56543721
##  [7357] 0.78451165 0.70477909 0.65062429 1.22431477 1.10741631 0.23404898
##  [7363] 0.77110013 0.65217279 1.21921401 0.50970471 0.39996671 0.80026877
##  [7369] 0.87379768 0.43069779 1.00707683 1.49774364 0.85840749 0.43774920
##  [7375] 0.41133499 0.35212623 0.85484773 0.98793948 0.62119429 0.32615725
##  [7381] 1.45056487 1.06479831 0.25273496 0.67801668 0.33129752 0.91591501
##  [7387] 0.55854206 0.26933317 0.73547558 1.21184816 0.49720786 1.76314071
##  [7393] 0.41651151 0.73294628 1.08156609 0.63906404 0.92283290 0.72665306
##  [7399] 0.94881194 1.21469064 0.57704885 0.24535118 0.76012931 1.65654582
##  [7405] 1.10754956 0.88690094 0.33790386 1.30170175 0.84241127 0.34132128
##  [7411] 0.78696786 1.00683226 0.83717885 0.27628791 0.78165077 1.05125023
##  [7417] 1.56500753 0.89786716 1.65824455 0.76683488 0.84982474 0.51903836
##  [7423] 1.10309623 0.55376959 0.98605395 0.68244309 0.67861497 0.73679044
##  [7429] 0.66310016 0.61850293 1.75793754 0.33757136 0.52814693 1.06497997
##  [7435] 0.66544570 0.62281636 1.80485304 0.58619618 1.79764230 0.47512127
##  [7441] 0.51465499 0.65011188 0.57773366 0.98848000 0.10380555 0.78079950
##  [7447] 0.33873927 0.35984789 0.94104398 0.42536027 0.61886411 0.81306875
##  [7453] 1.35292777 0.69225441 0.86021978 0.33492913 0.72158434 1.18324437
##  [7459] 0.82980288 1.09810211 1.54603818 0.43676747 0.41105317 0.58804010
##  [7465] 1.07109571 0.69032909 0.40904032 1.08476492 0.25364274 0.79300423
##  [7471] 0.64885366 1.87101440 0.82513579 0.53212818 0.36651149 1.41704600
##  [7477] 1.30693041 0.80950777 0.94733016 1.26142514 0.64904856 1.14359441
##  [7483] 0.67902039 0.58626907 0.77345189 0.70904411 0.46072959 0.44531794
##  [7489] 0.80339736 0.66082216 1.45010920 1.23333072 0.69419907 0.43133306
##  [7495] 1.42139168 0.56437973 0.84744521 0.50869092 0.79839033 1.39593340
##  [7501] 0.29856908 1.08791201 1.04748136 0.96746113 0.96854276 0.57502349
##  [7507] 0.61184504 0.32501452 1.04933720 0.19818415 0.53333105 0.42704874
##  [7513] 2.05540301 0.96799322 0.55524375 0.92958923 0.35347650 1.11616283
##  [7519] 0.38231054 0.83473950 0.73841370 0.76721393 0.34777329 0.67535848
##  [7525] 1.07924454 1.48672898 0.90461583 0.65802537 0.53261378 0.46304364
##  [7531] 1.10504760 0.87289325 0.89931421 1.07445662 0.79961782 0.43139414
##  [7537] 0.52670078 0.32668160 0.79889540 0.85666884 0.96645950 0.48878367
##  [7543] 1.25048776 0.83745988 1.06029017 0.53227560 0.97267765 0.99799176
##  [7549] 1.98175924 1.56768470 0.52593689 0.56005628 0.91382256 0.22575879
##  [7555] 0.80887551 1.28611019 1.00038576 1.00386407 0.58855144 0.78012509
##  [7561] 1.03275790 0.23038940 0.40111645 0.84430561 0.55482043 0.32174806
##  [7567] 0.99627984 0.86899768 0.82246170 1.01123191 0.63101201 0.48023697
##  [7573] 0.60397770 0.40940548 0.92568078 0.87731478 0.60347323 0.55167681
##  [7579] 0.74419892 0.43145776 0.97501627 0.86800652 0.60467277 0.90935186
##  [7585] 0.92577521 0.43913991 0.68726331 0.38659291 0.86397355 1.16340487
##  [7591] 0.71972826 0.87473448 0.70828297 1.17806398 0.57238753 0.77895162
##  [7597] 1.92975065 1.14373194 0.26459857 0.38304035 0.24398928 0.59812741
##  [7603] 0.52541218 0.47486686 0.69389464 1.07586444 0.50135138 1.29264170
##  [7609] 0.66116237 0.84103070 0.96533909 1.39392136 0.58827347 0.56341211
##  [7615] 0.52884080 0.65657594 0.80127638 1.33786007 0.85604554 0.53349219
##  [7621] 1.03144325 1.57199909 0.44846410 0.84803217 0.10543983 1.79177329
##  [7627] 1.20313974 1.09371250 0.73714184 1.01695662 1.17608964 0.56321313
##  [7633] 1.24098844 1.25134293 0.24117178 0.66967926 0.41677247 0.94042719
##  [7639] 0.42808898 0.56119351 0.83720713 0.76038104 0.13925921 1.18317722
##  [7645] 0.84366225 0.65605819 0.94550149 0.33506629 0.45714171 0.64116485
##  [7651] 0.76529089 1.13166041 0.63617549 0.25019357 0.73187572 0.51327657
##  [7657] 0.57861004 0.54107408 1.00876545 0.49702637 0.50234041 1.17775448
##  [7663] 0.40790878 1.31198035 0.96982344 0.91317938 0.18470967 0.80648423
##  [7669] 1.52862774 1.16533197 0.36153382 1.02022851 1.04986372 0.73509437
##  [7675] 1.72333449 1.30171204 0.43481997 0.82317089 0.17438655 0.57762500
##  [7681] 0.35074229 0.12486072 0.94958295 0.61083115 0.82771110 0.60527464
##  [7687] 1.28673713 1.09167209 1.43124778 0.60701383 0.59728921 0.63873475
##  [7693] 0.69482739 0.40668984 0.61312867 0.73132858 0.54913042 1.23751225
##  [7699] 0.85071517 0.63319613 0.82110195 0.55668390 0.23633473 1.25590917
##  [7705] 1.01581992 0.94587157 0.64997901 0.63876936 0.94771107 0.95626136
##  [7711] 0.52120213 0.24157741 1.11239096 0.75530595 0.76495245 0.47174467
##  [7717] 0.68624708 0.52212774 0.95223875 0.42376673 1.07674265 0.76920880
##  [7723] 0.68019899 0.67577629 0.67808792 0.82826409 0.51088772 0.80922471
##  [7729] 0.89157178 0.96341500 0.60471080 0.33851417 1.38408472 1.33792696
##  [7735] 0.30387100 0.82747511 1.20230190 0.82101832 1.19021987 0.95352493
##  [7741] 0.50778392 1.28930826 1.59530599 1.09283061 3.02275607 1.15879662
##  [7747] 1.44802178 0.19324531 0.56982976 0.63229382 0.52495837 0.46505403
##  [7753] 1.25994714 1.12231149 0.16041599 0.98402226 1.12581880 0.85120016
##  [7759] 0.77502344 0.55536859 0.52726657 0.42875290 1.24129090 0.77437828
##  [7765] 1.18241101 1.04235858 0.70933500 0.57584621 0.90720265 0.89481414
##  [7771] 1.01919274 0.43772134 0.45934081 0.38655045 1.18310075 1.15904872
##  [7777] 1.05551260 0.59949873 1.07314005 0.68964636 0.74452743 1.33692442
##  [7783] 0.86200633 0.59247907 0.91778731 1.26376142 1.43252757 1.41248377
##  [7789] 0.35314698 0.42350027 0.83721964 1.12186417 0.63250735 1.18880698
##  [7795] 0.45205543 1.27975912 0.60514263 1.03131161 0.53475738 0.89214109
##  [7801] 0.15291002 1.10869952 0.33004678 1.18265683 0.46512266 0.84114338
##  [7807] 0.16733532 1.86063216 0.52635626 2.02815693 0.57675052 0.94412791
##  [7813] 0.54695033 0.39318456 1.03168217 0.42751369 1.37709647 0.49144663
##  [7819] 1.12260469 1.14721052 0.60449011 0.19904171 0.88292475 0.99109914
##  [7825] 1.20532612 1.49187915 0.31484110 0.32867490 0.97240931 0.81303955
##  [7831] 0.50422109 0.23555469 0.32856464 0.44930003 1.30509456 0.65194000
##  [7837] 0.90986770 0.68360456 0.96761540 0.78736430 0.32932212 0.97698346
##  [7843] 0.68314857 0.75513600 1.13902544 0.27679664 0.51770061 1.05257835
##  [7849] 0.79909521 1.39960518 1.06768063 0.87382692 0.40726919 0.59569966
##  [7855] 1.21906070 1.77677657 0.44151088 0.97673044 0.70581540 0.31879122
##  [7861] 0.53802983 1.10889412 0.56837866 0.95886539 0.33290405 0.73642575
##  [7867] 0.64990816 1.13975069 0.61562004 0.52377688 0.69879344 0.51106400
##  [7873] 0.95817334 0.42723036 0.68330036 0.77640135 0.55056339 0.36823996
##  [7879] 0.90457085 1.50901866 0.81017959 0.92604835 0.68990361 0.31257204
##  [7885] 0.24814758 0.54829752 1.36483643 1.56650643 0.58807932 0.67430884
##  [7891] 0.64428028 1.08093216 1.29185372 0.58268477 1.04531809 0.41100424
##  [7897] 0.67302680 1.31668365 0.29155638 0.75298670 1.07205279 1.39874312
##  [7903] 0.75983381 1.73422813 0.64856709 0.80462757 0.33064911 0.96739352
##  [7909] 0.95964166 1.37438430 0.41191985 1.14936860 0.20715964 0.39909118
##  [7915] 1.23394856 0.66613897 0.46776206 1.51357725 0.84303035 0.94812895
##  [7921] 0.62590047 0.46134135 0.76075525 1.63888274 0.72243155 0.34434567
##  [7927] 0.84103576 0.39368012 1.01887424 0.55028151 0.35572633 0.32415742
##  [7933] 0.34831296 1.46860702 0.99875418 1.74794167 0.60151318 0.43606196
##  [7939] 0.72384866 0.60007231 0.67946586 1.05257667 0.57684055 0.45677348
##  [7945] 0.27184339 0.80222161 0.53004070 0.26941232 0.74806750 0.77897508
##  [7951] 0.60033632 0.22369793 0.89730894 1.24634872 0.58748612 1.32977760
##  [7957] 0.64045203 0.48481170 0.47017992 1.33809537 0.62926839 0.56021290
##  [7963] 1.39692257 0.80088549 0.85833458 0.36295555 0.40545373 0.76978571
##  [7969] 0.83506371 0.66277018 0.98970769 0.67156479 1.15968935 0.37420233
##  [7975] 0.91500172 1.64689506 0.71162565 0.99654826 0.93157144 1.20333781
##  [7981] 0.50499109 1.08456724 0.65869162 0.27151671 0.66729892 0.28846139
##  [7987] 0.85352575 0.92711093 0.79480852 0.57551795 0.37122447 0.26490158
##  [7993] 1.06739041 0.48650231 1.22490993 1.12287873 1.21948331 0.71297388
##  [7999] 0.93264980 0.94919717 0.44463742 0.59256052 0.16616376 0.84186497
##  [8005] 1.24394311 1.11890303 1.39054017 1.13354582 0.38324934 1.74287589
##  [8011] 0.63632455 1.18501493 0.77712795 0.66379821 0.98552992 0.84019184
##  [8017] 0.60818105 0.88886247 0.84735306 0.56744516 0.24505800 0.42814868
##  [8023] 0.46415952 0.68674046 0.74615449 0.64407033 0.43373405 0.67843967
##  [8029] 0.82401108 1.07943111 0.55792991 0.54629930 1.44051525 0.72946259
##  [8035] 0.61364938 1.06980558 0.73398221 0.55390852 0.37006642 0.27940276
##  [8041] 0.76513894 0.61841361 1.45842619 1.75837905 0.59767209 0.82402507
##  [8047] 1.40056714 0.59958785 0.86484865 1.34746289 0.40361634 2.11069719
##  [8053] 0.78036742 0.83869816 0.56204136 1.69178663 1.77647580 0.58592888
##  [8059] 0.69941031 1.32469123 0.37196248 1.84636027 1.78239904 0.65095300
##  [8065] 1.82270220 1.58358665 0.54869471 1.04684476 1.45441635 1.11546185
##  [8071] 0.73311851 0.35302922 0.35552600 1.10151924 0.76714948 0.93509516
##  [8077] 0.79731364 1.06565904 0.72722754 2.25964155 0.83758165 0.45806939
##  [8083] 0.41341378 1.70281929 0.98749132 0.81215315 1.07381172 0.53541815
##  [8089] 0.93149824 0.36186737 0.21527917 0.51226017 0.39925218 0.80369230
##  [8095] 0.82375096 0.77243974 0.70069361 0.19882975 0.78950907 0.67455876
##  [8101] 1.19476611 1.07468369 0.70088977 1.53742844 0.72407737 1.20215122
##  [8107] 0.36599994 0.84983681 1.62863071 0.43701090 1.35911526 0.88524783
##  [8113] 0.72600370 0.48388566 0.53829985 1.09227036 0.79364800 0.72747369
##  [8119] 0.15760925 0.18368406 0.29639835 0.85183968 0.76512688 1.40265846
##  [8125] 1.55608276 0.35740459 0.70934363 0.57732450 0.89220463 1.15777375
##  [8131] 0.71735481 0.23218004 1.46124604 1.00955832 1.48395030 1.02020160
##  [8137] 1.59959336 0.25360887 0.73745400 1.03027194 1.12781635 0.57996388
##  [8143] 3.04040065 1.00177464 0.99669886 0.14185822 1.56459835 1.11966236
##  [8149] 0.34656806 1.15241862 0.34424365 0.79216517 0.53119523 1.07250406
##  [8155] 0.19036654 0.26697130 1.32638434 1.52608109 0.75623362 0.32203386
##  [8161] 0.68477375 0.45870241 1.03365619 0.83369947 0.53278207 1.29992346
##  [8167] 0.65264087 0.14833330 0.12766713 0.47042316 0.97884845 0.62436409
##  [8173] 1.52669333 0.40338580 1.30024383 0.61274082 1.80745687 1.99836592
##  [8179] 0.62708131 0.91869106 0.90284501 1.26518060 0.33204422 0.84256529
##  [8185] 0.81277439 0.58866728 0.71452417 0.59649824 0.48089912 0.95317020
##  [8191] 1.50925462 0.48155465 1.17858040 0.65037944 0.54481932 1.05314695
##  [8197] 0.85014561 0.85773463 1.19014846 0.92427946 0.70551845 0.74298923
##  [8203] 0.77116989 0.92445244 0.67088271 0.59061810 1.09893998 1.43002220
##  [8209] 0.51284473 0.59195343 1.01662577 0.44434676 0.40674274 1.29244229
##  [8215] 0.36422837 0.80541832 0.93307212 1.05869834 1.05417660 0.38865058
##  [8221] 0.41928909 0.38850160 0.89980485 0.58084992 0.45280574 0.70726019
##  [8227] 0.94931866 0.79287163 1.02296320 1.06358027 1.17176094 0.75391017
##  [8233] 1.22407088 1.35576528 0.64743546 0.73498174 0.75915868 1.42497360
##  [8239] 0.51343506 0.87750076 1.18544199 0.83257361 0.31821975 0.18262048
##  [8245] 1.01894743 0.43354751 0.72423178 0.26023796 0.42577632 0.81869604
##  [8251] 0.62911658 0.32055123 0.82911771 1.60020675 0.56953895 0.74568795
##  [8257] 0.23958530 0.36623559 0.54984660 0.97261205 1.08693221 0.95533658
##  [8263] 0.61124183 1.03890765 0.65227638 0.69391794 0.20977943 0.96707355
##  [8269] 0.65331240 1.56469748 0.80012600 1.51687221 0.30024554 0.45585840
##  [8275] 0.64012994 0.60611116 0.72701493 0.92470802 0.78298058 0.87816625
##  [8281] 0.98243930 0.45673499 0.40310126 0.72909020 0.44538089 1.25889102
##  [8287] 0.33687974 1.60068965 0.43944838 1.16664304 0.72474567 1.36578201
##  [8293] 0.68283171 0.56778241 0.20302072 0.69788588 1.16428555 0.26308877
##  [8299] 0.37628667 0.55718454 1.67834240 0.44362133 1.09426095 0.40398391
##  [8305] 0.92998033 0.74853157 1.05278958 0.43931384 0.42898018 1.01577617
##  [8311] 0.59497903 0.47004757 0.43663414 0.58756765 1.71651876 0.52213968
##  [8317] 0.30204884 1.93593645 0.24121122 0.14888882 0.47904149 0.39794290
##  [8323] 1.53365835 1.18751457 0.29722835 0.83453958 0.95441215 0.54596125
##  [8329] 1.04175303 0.99091646 0.90405918 0.45502805 0.84417340 1.12929219
##  [8335] 1.11991971 0.49775863 1.01394606 0.48144141 1.12977310 1.10108837
##  [8341] 0.37142276 0.44455641 0.37560686 0.82988073 0.78848239 0.83552592
##  [8347] 0.30579580 0.78521211 0.68448235 0.44980684 0.54061184 0.14847547
##  [8353] 1.34888193 1.23543205 0.14677780 0.26823945 0.53218044 0.81242024
##  [8359] 1.48244470 1.26629731 1.05339806 0.83725256 0.69819042 0.74438425
##  [8365] 0.27780594 1.15632425 0.34709444 0.97944606 0.58696353 0.82016331
##  [8371] 0.46801159 1.00867904 0.11139437 1.90150222 0.27339664 1.39620466
##  [8377] 1.15027152 0.83551852 0.31061849 0.88074755 2.71193880 0.96847679
##  [8383] 0.55659369 1.15926422 0.52963006 0.54528941 0.24062399 2.25530833
##  [8389] 0.48666911 0.52365271 1.69231204 0.76133789 1.90322897 0.25493888
##  [8395] 0.86467167 0.51566297 0.75943447 1.21241745 0.54676503 0.91103828
##  [8401] 1.21700574 0.61115520 1.59178547 0.96969651 0.81677474 0.71757909
##  [8407] 1.13222392 0.93632954 1.15423997 0.40517835 0.74118964 0.46843591
##  [8413] 0.36012541 0.48749395 0.83799872 0.47938728 1.14567012 0.68035584
##  [8419] 0.49261865 0.79936872 0.68068882 0.58338151 0.93190735 0.64668459
##  [8425] 0.30580488 0.67853566 0.84523807 0.26901066 0.45011039 1.55643071
##  [8431] 0.71834982 0.52956107 1.21534030 0.40550502 0.50786304 0.79057802
##  [8437] 0.36099905 0.53042783 0.57570676 0.76367346 1.13277165 0.64939030
##  [8443] 0.87918130 0.51724827 0.68610879 0.12906949 1.51463884 0.66456439
##  [8449] 0.98753025 0.68522706 0.67800062 0.17644081 0.79399639 0.75001517
##  [8455] 0.57840568 1.69779500 0.31223686 0.49598577 1.06358035 0.29281921
##  [8461] 0.87764958 1.28357423 0.38551419 0.27611582 1.12923883 0.32237510
##  [8467] 0.80281636 0.51424982 0.54139401 0.32382748 1.56023237 0.27836996
##  [8473] 1.50998433 0.75098343 0.70108256 1.33059642 0.99159957 1.19369187
##  [8479] 0.63357108 1.09202801 0.37050621 0.94608912 0.33469079 0.82808847
##  [8485] 1.36585457 0.51133034 0.49629590 2.68495495 0.55888790 0.93214781
##  [8491] 0.92991603 0.89839146 0.83771872 0.96227179 1.53529047 0.22192713
##  [8497] 1.01022908 1.56836344 0.50967225 0.59687797 0.59527259 0.22821391
##  [8503] 0.87698459 0.72386638 0.61989406 0.34285143 0.56501761 1.76821011
##  [8509] 0.84946849 0.95263037 0.86331908 0.30916476 0.42539209 1.06467690
##  [8515] 0.55203566 0.35494529 0.63462362 0.67603007 0.30537436 0.70473570
##  [8521] 0.37523979 0.50239618 1.21942048 0.63907666 2.37467528 0.82296567
##  [8527] 0.23797330 0.72213898 0.80247618 0.67397282 0.74930541 0.47273529
##  [8533] 0.55156048 0.41153489 0.56021754 0.58467735 0.58737612 1.01421949
##  [8539] 0.95443464 0.52537434 0.78248027 1.02186005 0.63171788 0.21103162
##  [8545] 0.25819493 0.96393018 1.16073671 0.42795142 1.30698274 0.73728340
##  [8551] 0.70353556 0.32610075 0.76513788 0.33549694 0.33551495 0.66361318
##  [8557] 0.63536357 1.17625679 1.06416476 0.44024595 0.57140309 0.61577284
##  [8563] 0.63394115 0.41874693 0.56672585 0.62009136 0.53475907 0.66298975
##  [8569] 0.80466922 0.86902756 0.65303959 1.13324872 0.32012574 1.00791711
##  [8575] 1.04493207 1.68126247 1.41225683 0.20533723 0.40893456 0.53673086
##  [8581] 0.25578909 0.40410463 1.37041505 0.96847744 0.55384425 0.75107589
##  [8587] 0.74340631 0.80903117 0.42225654 0.65783740 0.29029516 0.74327035
##  [8593] 0.76234761 0.26165118 0.91623976 0.75582274 1.43567998 0.57307339
##  [8599] 0.53909768 1.58692632 1.07102728 0.49554731 0.85739830 0.72121085
##  [8605] 1.24377198 0.93990927 0.60350956 0.98629415 1.01494672 2.98759715
##  [8611] 0.17873547 0.29257141 1.22525731 0.44829532 0.75799757 0.17342584
##  [8617] 0.63548365 0.65728108 0.53581061 0.48060328 1.39865705 1.30331329
##  [8623] 0.29664982 0.73126828 0.18173637 0.87054578 0.87545728 0.21241000
##  [8629] 0.30906364 1.41401412 1.70192023 1.15172673 1.47624511 0.85063515
##  [8635] 0.68395921 0.53439977 1.19443105 0.31979646 1.58914037 1.09407032
##  [8641] 0.82806541 1.70623049 1.62271610 1.18016086 0.47537595 0.66728320
##  [8647] 0.74802449 1.07932446 1.88264398 0.72381256 0.83628487 0.40297879
##  [8653] 1.17741725 0.73150295 1.38114505 0.49113466 0.48592872 0.88847432
##  [8659] 1.37314905 0.57577385 0.39423694 0.87221181 0.82936660 0.84832175
##  [8665] 0.86383774 0.55939876 1.76173985 0.35390046 0.72150681 0.83970279
##  [8671] 0.72125738 0.62651509 0.42024300 0.62747314 0.68442876 0.80897810
##  [8677] 0.54459387 0.30758518 0.55801787 0.64632061 0.74623037 1.16058675
##  [8683] 1.45320618 0.38098052 1.32346489 1.14385636 0.83925880 0.86358905
##  [8689] 0.96126238 0.57478276 0.64341347 0.24738586 1.21358055 0.89577089
##  [8695] 0.42377424 1.23160550 0.64277054 0.37214985 0.45502190 1.28818655
##  [8701] 0.42274778 0.54073024 0.93803425 0.78070824 0.59816142 0.32168658
##  [8707] 0.96483742 0.72502407 0.64398641 1.46351266 0.25169233 1.17342982
##  [8713] 0.82792407 1.36747442 0.68671470 0.92019892 0.92659876 0.29873365
##  [8719] 1.03123530 0.67369528 0.11915059 0.67904968 0.43647947 0.55638797
##  [8725] 0.59435234 1.34858758 0.28285197 1.33287319 0.56015931 1.34399738
##  [8731] 0.63262412 0.55840892 0.62493495 0.46259389 0.38010672 0.18876818
##  [8737] 1.03367993 1.07798610 0.31166984 0.31859185 0.73225174 0.36689046
##  [8743] 0.61208726 0.39382905 0.72057294 0.80174396 1.12852978 0.78411530
##  [8749] 0.54096578 0.47285248 0.68100103 0.84788603 0.62798749 0.38330716
##  [8755] 0.93661471 0.76465194 0.61405602 0.98825379 0.25367780 0.80141555
##  [8761] 1.30399780 1.72614485 1.08924199 0.85909053 0.56841294 0.28845104
##  [8767] 1.11953276 1.16581284 0.30048462 0.85830034 1.38831959 0.60437969
##  [8773] 0.97852882 0.48741571 1.18372916 0.13884687 0.55347834 0.41411284
##  [8779] 0.66995824 1.25978509 0.85242679 0.97590767 0.18074268 1.16007163
##  [8785] 0.81038911 1.37388188 0.79295861 1.09878357 0.49134182 1.39315808
##  [8791] 0.46512780 0.73276504 2.60156665 1.00981123 0.45137862 0.48394684
##  [8797] 0.79071540 0.66565721 0.16475079 0.47625412 0.75231305 0.66786694
##  [8803] 0.61293547 0.52682436 0.38878844 0.50004547 1.20824796 0.53288404
##  [8809] 0.52679349 0.42571514 0.34593666 1.19708384 0.71928433 2.36283274
##  [8815] 0.99761371 0.55280766 0.18708777 0.39035710 0.85936909 0.48082103
##  [8821] 1.19153284 0.78544314 0.32990787 1.94314328 0.85228436 1.02010347
##  [8827] 1.01280052 0.65087454 0.42974039 1.54862436 0.92927673 1.15463725
##  [8833] 0.71225202 0.72179011 0.75341490 0.67656837 1.22726658 0.74564459
##  [8839] 0.82152996 0.26813958 0.72791935 0.28493996 0.64966470 0.32003547
##  [8845] 1.08867342 1.27798176 0.46128381 0.64085029 1.21986572 0.52493772
##  [8851] 0.22895660 0.47445917 0.42877729 0.80656873 1.02624613 0.48353519
##  [8857] 1.86759877 2.20122779 0.80062673 0.44207095 0.60217335 0.16176858
##  [8863] 0.48773783 0.90383602 0.43124916 1.17258315 1.13697531 0.45913778
##  [8869] 0.22982590 0.75981464 0.17700130 1.58741930 0.55234896 1.36318505
##  [8875] 0.40923731 0.61629543 0.60153134 0.94723802 0.74928440 0.77776491
##  [8881] 0.49233101 0.26686110 0.27828282 0.54292333 0.56598125 0.53096821
##  [8887] 0.36988709 0.35210789 0.25850940 0.69061007 0.78414389 0.76014602
##  [8893] 0.91113223 1.16829787 0.33338218 0.56613080 0.29065423 1.56303453
##  [8899] 1.05651257 2.02124214 0.22609633 1.24984688 0.72562511 1.12932674
##  [8905] 0.15708358 0.60829660 1.05691227 1.26452642 0.67291274 0.10933009
##  [8911] 0.33100128 1.89842071 0.55774614 0.39547110 0.84952179 0.57577516
##  [8917] 0.91890069 0.45615924 0.50355888 0.90500360 0.70701796 1.65748694
##  [8923] 0.78164092 0.86532827 1.13765725 1.12706649 0.46661319 0.69044353
##  [8929] 0.24851953 0.54891556 1.23733190 1.33485423 0.45377505 0.30115144
##  [8935] 0.18529278 1.74132874 1.19321507 0.71466890 0.68398710 0.67251600
##  [8941] 1.67780183 0.84510601 0.23091900 0.48876347 0.80907435 0.47973400
##  [8947] 2.54618383 0.50788897 0.57164532 0.46890216 0.91938677 0.78385062
##  [8953] 1.29721982 0.60088984 1.20950609 0.69127907 1.61411987 0.51136117
##  [8959] 0.75240820 0.53976668 0.64641469 0.98051543 1.78091821 0.75278584
##  [8965] 1.52526947 0.92932895 0.47597578 0.25816071 1.11797019 0.59254096
##  [8971] 1.24485466 0.36174631 0.71677921 0.97745537 1.48139747 1.09491679
##  [8977] 0.87427988 0.72381460 0.38988116 0.77373786 0.83082483 0.61472756
##  [8983] 0.30494420 1.18092557 0.94258288 0.63250456 0.27079049 0.86423450
##  [8989] 1.39204020 1.41133422 1.31088307 1.27449412 0.45696028 0.34659600
##  [8995] 0.36698834 0.65043354 0.46095187 0.71607463 0.86147322 0.85285404
##  [9001] 0.34065467 0.39728102 1.00505678 0.61408530 0.53998372 0.89010874
##  [9007] 1.94735240 0.64110949 0.35653411 0.33471221 0.74892283 0.56004699
##  [9013] 1.06364774 1.16446862 0.35318375 1.20130786 1.21661825 0.82723906
##  [9019] 0.65136824 1.76740514 0.73386395 0.85989269 0.98669294 1.58392094
##  [9025] 0.48770419 0.62054406 0.45464701 0.29874117 0.79875116 0.42712452
##  [9031] 0.61355173 0.39271454 0.39794280 0.86139828 0.66579611 1.30099481
##  [9037] 0.66896191 0.92843940 0.26025536 0.49797967 1.04574974 0.51670537
##  [9043] 0.85893843 0.49529146 1.14967955 1.30212468 0.72107291 0.74429728
##  [9049] 1.35700142 0.84847245 0.65192683 0.93036416 0.36091787 0.62928470
##  [9055] 0.70554446 0.99828286 0.66859700 0.66493884 0.35943859 0.60350820
##  [9061] 0.29193961 1.00476603 1.41517905 0.40240674 0.61176257 1.20316214
##  [9067] 1.07135382 0.57090509 0.74923422 0.68495530 2.25919539 0.77751849
##  [9073] 0.78207017 0.88519975 0.85383604 1.17314935 0.60570546 0.54689822
##  [9079] 0.22828840 0.34127578 0.98929496 0.37182529 0.32829565 0.57988128
##  [9085] 0.42098228 0.43791141 0.44274357 1.17774075 0.46218853 0.70319066
##  [9091] 0.46915285 0.27413925 0.36864930 0.40327074 0.58776618 1.18151521
##  [9097] 0.47060227 1.42662155 0.80673492 0.36373066 0.78584873 0.62857700
##  [9103] 1.10224001 0.92648262 1.16497516 0.68785118 0.96063328 0.35153342
##  [9109] 0.74869754 0.72956878 1.00094941 0.93376541 0.47833928 1.06795675
##  [9115] 0.83934962 1.05609472 0.47266358 0.79984676 0.49561095 0.36229825
##  [9121] 0.72921772 0.22444476 0.33727681 1.08409158 1.15615602 0.51324756
##  [9127] 0.62170034 0.81173321 0.92182698 0.46592173 0.80544845 0.18478350
##  [9133] 0.92783884 0.80525255 1.31862881 0.74572411 0.76527111 0.49137548
##  [9139] 0.91462687 0.98331645 0.07978783 0.40813898 1.34274775 1.42920755
##  [9145] 0.90989107 0.52184872 1.21925062 1.56518050 0.76908103 0.24217359
##  [9151] 1.30027265 0.32331832 0.53127596 0.84683870 1.10116135 0.46723414
##  [9157] 0.41024828 0.65767310 1.46328782 0.57948131 0.32432956 0.50662133
##  [9163] 0.79615592 0.57879288 1.00345795 0.47881834 0.31214188 0.66007421
##  [9169] 0.41957962 0.38022625 0.67495226 0.45146288 0.35530457 0.45577799
##  [9175] 0.25792748 0.45636183 0.43350637 1.06854157 0.31183310 1.04634104
##  [9181] 0.46406954 1.66913548 1.22087575 0.62096226 0.53384507 1.71948024
##  [9187] 0.57223221 0.66703500 0.63219014 1.04710019 0.54321615 1.21096966
##  [9193] 0.71399135 0.34057031 1.21941976 0.67277395 0.42572629 0.98008490
##  [9199] 0.42395644 1.47621033 0.74562580 0.74982515 0.92248729 0.81327920
##  [9205] 0.84550031 0.78187005 0.71542413 1.58447474 1.22559033 0.35247630
##  [9211] 0.58068428 0.18505561 1.18929501 0.95718691 0.78185600 0.38199778
##  [9217] 0.43309939 1.42922387 0.96677627 0.69752294 0.49336826 0.79248892
##  [9223] 0.35088083 1.10753613 0.77060597 0.62474827 0.32713303 0.46005577
##  [9229] 0.78627882 0.39011025 0.38421311 0.78612787 0.49288072 0.77285755
##  [9235] 0.95891014 0.44015021 0.49002808 0.95914874 0.37156183 0.94736393
##  [9241] 0.36810005 0.45135234 0.83624964 0.80009776 1.26808997 0.35389734
##  [9247] 1.40019371 0.40155400 0.70221910 1.12146003 0.77067788 0.85006322
##  [9253] 0.87584532 0.39979360 0.58837158 0.58224219 0.47879190 0.23088740
##  [9259] 0.21944724 0.89051851 0.67538742 1.08542015 0.26230066 0.51906665
##  [9265] 0.52230071 0.79315239 0.99640018 0.41370528 0.62587557 0.43970355
##  [9271] 0.47078143 0.38093057 0.67880053 0.28773394 0.95731479 1.12452288
##  [9277] 0.31814273 1.64346463 0.78160679 0.69507637 0.40769535 0.20976852
##  [9283] 1.63822731 1.31569418 0.74537059 0.47250251 0.35984978 0.75627474
##  [9289] 0.66916851 0.54476547 0.23107543 0.33913713 1.25988028 0.57844041
##  [9295] 0.53641963 1.40763152 0.85315142 0.95314132 0.61897940 0.32010423
##  [9301] 0.99041164 1.22227375 1.15394914 1.42564364 1.25611105 1.41494179
##  [9307] 0.49395228 0.38125074 0.41060122 0.83180470 0.26175237 1.81935122
##  [9313] 0.80648370 0.55709784 0.78257282 0.38419908 0.43216604 0.96320568
##  [9319] 0.48478182 0.66225589 1.18232401 0.56925423 0.97000511 1.11107973
##  [9325] 0.83635148 0.57072085 0.22410096 0.53395093 1.40308135 0.30977123
##  [9331] 1.22030416 0.43776244 0.35100736 0.49097455 1.32912960 0.25024283
##  [9337] 0.71719798 1.36341756 1.21126204 1.26109530 1.09572600 1.78740771
##  [9343] 0.46682758 1.06406231 0.46210257 0.42462128 0.56680035 1.64258678
##  [9349] 0.55344721 0.94137503 0.17381049 0.39244105 0.83262185 0.89199579
##  [9355] 0.16413441 1.13789577 0.59482171 0.74142830 2.78975976 1.18188581
##  [9361] 1.34072650 0.37955517 0.74792492 0.95382467 0.59076418 0.69417914
##  [9367] 1.01290820 0.40429742 0.72759080 0.38316407 0.56403727 1.55991648
##  [9373] 0.39328853 1.01867254 1.40504467 1.47785702 0.76782949 1.32821218
##  [9379] 0.71655976 1.07471127 1.63316075 1.32248517 0.58611043 0.50360405
##  [9385] 0.63441092 0.59289670 1.31765804 0.83250565 1.00906469 0.41746171
##  [9391] 1.07711065 0.47515755 1.11716574 0.60108772 0.52939476 0.72330358
##  [9397] 0.42982440 0.84424004 0.28590167 0.78964117 0.82151391 0.71521919
##  [9403] 1.38002544 0.38897561 0.60523205 1.30464388 0.46360559 0.52914664
##  [9409] 0.40117057 1.19764395 0.59021295 0.67742853 1.15999051 1.12063208
##  [9415] 0.26325193 1.17015219 0.81715638 0.32148883 0.83833829 1.09614413
##  [9421] 1.01142347 0.28829927 0.55952151 2.08447667 0.70413489 1.97350500
##  [9427] 0.71089372 0.19498847 0.86572465 0.61176192 1.08145196 1.11719897
##  [9433] 1.11974699 1.20283960 0.92205553 0.43645380 0.96351613 0.60982208
##  [9439] 0.52601491 0.63670788 0.18037660 0.41676793 0.55563214 0.78335579
##  [9445] 0.73002269 0.72450857 1.87269329 1.52584653 1.03568575 1.85861404
##  [9451] 0.53684178 0.49736954 0.73331102 0.38992818 0.57953691 1.06935328
##  [9457] 0.94544051 0.64153676 1.30716238 0.22932160 0.43625521 1.09042532
##  [9463] 0.89340266 0.93496066 0.51331768 0.56467739 0.68402067 1.17607107
##  [9469] 1.01680585 0.76138792 0.94528521 1.01752244 0.89826461 0.47124308
##  [9475] 0.65452306 0.46672477 0.79482814 0.69137564 1.48322161 1.09471455
##  [9481] 0.21824564 1.04137453 0.50365519 0.47934257 0.36432681 0.92561699
##  [9487] 0.92427972 0.74912139 0.58494073 0.36787901 0.92116070 0.88920729
##  [9493] 0.75118208 1.84388793 0.50343857 0.32324335 0.48738816 0.56470592
##  [9499] 0.40012955 1.06759250 0.32260622 0.32985694 0.79977813 0.89740200
##  [9505] 0.99843812 0.65438861 0.15757709 0.22408448 0.14386409 1.15517170
##  [9511] 0.62148938 0.73635591 1.04642506 0.57083132 0.82647011 0.80002413
##  [9517] 0.70847737 0.12955505 0.74124472 1.44835689 0.85407091 1.24090319
##  [9523] 0.31831503 0.90546888 2.75884337 0.86400592 1.10223243 0.44077780
##  [9529] 0.68192549 0.36812988 0.69746782 1.62874064 1.09013357 1.10956274
##  [9535] 1.77235469 1.18954633 0.76227896 1.61715165 0.81863569 0.13774111
##  [9541] 0.99894499 0.37205529 1.01641492 0.52204238 0.41583142 0.85281273
##  [9547] 0.57260170 1.11271190 0.98764016 0.92228876 0.65591780 0.84215859
##  [9553] 1.11680097 0.75241770 0.34338786 0.34021877 0.93761716 0.31522670
##  [9559] 1.61303863 1.57459648 0.31013045 0.80006997 0.48979932 0.32930120
##  [9565] 0.28581204 1.19016945 0.34623991 0.62271781 1.63722234 1.16604495
##  [9571] 1.13184055 1.06857529 0.90920213 0.32844276 2.19925784 0.48285015
##  [9577] 0.32566373 0.94229554 0.64562449 1.42824596 0.47953930 0.47299584
##  [9583] 0.70944058 1.23520192 1.19566094 2.25478050 0.89753083 0.54875304
##  [9589] 1.15369370 1.56685949 0.95709616 1.04264831 0.57156031 0.89946509
##  [9595] 0.56512718 1.00770253 1.40653988 1.01388573 1.13467954 0.99414040
##  [9601] 0.52352198 0.56012276 0.34345185 0.52554838 1.92840639 0.38854993
##  [9607] 1.18720964 0.60848262 0.60612075 0.20416393 0.37664110 0.26664379
##  [9613] 0.48481571 0.77051256 1.06508683 0.72654995 0.68074573 0.76254592
##  [9619] 0.76766648 0.88303107 0.55991774 0.74369885 1.43913795 2.13763819
##  [9625] 0.86321622 0.85206623 0.68972380 0.72136329 0.85248122 0.35871523
##  [9631] 1.47738847 0.34544169 1.58930075 0.70868850 0.20870305 0.73771373
##  [9637] 1.37250782 0.97360346 1.15200664 1.05682490 0.85588020 0.91519770
##  [9643] 0.80136066 1.00021199 0.98184691 0.36170435 0.99311747 0.38101662
##  [9649] 1.95481061 0.60007528 0.73053526 0.50707313 0.84883163 0.85544759
##  [9655] 0.80545778 0.40227809 0.69804889 1.58528031 0.21188849 0.59933508
##  [9661] 0.70427823 1.02309665 0.66376016 0.75080264 0.40694730 0.32288483
##  [9667] 0.46661244 0.74775628 2.16248299 2.28731140 0.60134861 0.64422883
##  [9673] 0.70993687 0.97124493 1.04036197 0.64577774 0.78204701 0.60409237
##  [9679] 0.59418453 0.28630157 0.24894276 0.93051357 0.39365229 0.46789364
##  [9685] 0.80350726 0.82534953 0.40327406 1.20137660 2.21517055 0.65810617
##  [9691] 0.35464904 0.53694249 0.52904928 0.70062344 1.60745152 0.37009712
##  [9697] 0.35252752 0.80052878 0.62406504 0.71426531 0.75645379 0.97435585
##  [9703] 1.12164470 0.40788348 1.32883253 0.70784114 0.97277280 0.99921752
##  [9709] 1.30928148 0.80872706 0.24263862 0.77427090 0.92869988 1.22426792
##  [9715] 1.13857422 1.57424387 0.77376547 0.41718523 0.25684997 1.15481030
##  [9721] 0.39422924 0.98233587 1.08920105 0.26948229 0.74734413 0.68368606
##  [9727] 1.55824650 1.01727384 0.85085972 0.80114943 0.61963936 0.44199716
##  [9733] 0.45549248 0.81620485 0.82440780 0.62178510 1.18537490 0.95077880
##  [9739] 0.40449389 1.03351833 0.87344749 0.81156232 0.35655954 0.93414881
##  [9745] 0.76666129 1.02637468 0.51889780 0.40965498 0.29000549 0.54575256
##  [9751] 0.93889243 1.29292126 0.84286637 0.42436169 1.06531823 0.54726693
##  [9757] 0.47000924 0.36190942 0.48465280 0.50768562 0.44872400 0.86159211
##  [9763] 0.79465892 0.86287820 0.41708009 0.70351005 0.67447349 0.77256587
##  [9769] 0.67010764 0.39950672 0.57780082 0.49081885 1.11752812 0.91426636
##  [9775] 1.42017235 0.72216687 1.16989409 0.57718574 0.27544083 0.60549722
##  [9781] 1.13157746 1.01487511 1.29288970 0.61877133 0.98041057 0.33493711
##  [9787] 0.28292842 0.70871399 0.79844939 2.18310638 1.28644456 0.70746885
##  [9793] 1.05122623 0.32862724 0.61700712 1.05409533 0.46633903 1.25650453
##  [9799] 0.79811572 0.37594249 1.16351583 0.54481860 0.78342320 0.65321238
##  [9805] 0.63321470 0.86095792 0.78729529 0.42721491 0.67844916 0.42891650
##  [9811] 1.62356187 0.53181073 0.42362719 0.50774578 0.44163824 0.50849425
##  [9817] 0.62958973 0.77560821 0.52044074 1.68444569 0.59690178 0.45117626
##  [9823] 0.97034926 0.64774304 0.58169409 0.72737456 1.70232993 1.78055502
##  [9829] 1.48602481 0.50089777 0.25755955 1.08984979 0.83280471 0.40882864
##  [9835] 0.63525374 0.47858092 0.27432846 1.18922265 0.54769507 1.14350688
##  [9841] 0.24025265 0.69480367 0.96971021 0.70118706 0.84016898 0.74096349
##  [9847] 0.54563770 0.99832333 0.33715590 1.30236471 1.11201973 1.10605064
##  [9853] 0.69300863 0.66968157 0.57949691 1.06428237 1.28543299 1.00670445
##  [9859] 0.59833066 0.15079026 0.79154980 0.96965569 0.75655342 0.60185909
##  [9865] 0.72880785 0.50510455 1.04410587 1.39935403 2.22268328 0.42189472
##  [9871] 0.51895468 0.56504749 0.52403773 0.45068667 0.43129841 0.86632662
##  [9877] 0.57585584 0.41451057 0.82741248 0.50233316 0.60305926 0.88701157
##  [9883] 0.44387508 0.92867970 1.36054044 0.70310673 0.57182922 0.47707075
##  [9889] 0.28568172 0.80308657 1.11813447 1.14906333 0.57060257 0.82577223
##  [9895] 0.63389358 0.48073933 0.97963227 0.44788580 0.69519929 0.37034370
##  [9901] 0.48134656 0.96385526 0.32452030 0.60799282 0.26639623 0.92265294
##  [9907] 1.37377547 0.66701304 0.58419225 0.96865770 0.61228863 0.73967430
##  [9913] 0.60332291 0.47102409 0.40397711 0.30730885 1.26741887 0.78563257
##  [9919] 0.74972401 1.89957517 0.42355701 0.76539747 1.53585271 1.41728171
##  [9925] 0.95721230 0.61281059 0.55335576 1.01089321 0.37382532 1.53821398
##  [9931] 0.42354136 0.52121801 0.69440311 0.85341455 1.28692466 0.64928263
##  [9937] 0.70952846 0.53058116 0.91897487 0.60675338 0.34321700 0.62060799
##  [9943] 0.52331752 1.13680710 1.05574079 0.67551504 0.72885883 0.61893556
##  [9949] 0.48625612 0.68370616 0.69645639 0.55187637 1.00495507 1.19327096
##  [9955] 0.69840158 0.41200674 0.60471966 2.18104044 0.29258235 1.13843075
##  [9961] 0.97172114 0.78585740 1.09782031 1.19764550 1.78880086 0.74973537
##  [9967] 1.16200291 0.27120084 0.50395777 0.44457130 0.84438747 0.81768707
##  [9973] 1.02031083 0.76678228 0.43627834 1.19941524 0.78488455 0.88338469
##  [9979] 0.61992517 0.52370018 1.37156426 0.62480754 1.10447997 0.56644743
##  [9985] 0.88129940 1.21039332 0.60787345 0.28535057 0.65887203 1.09501052
##  [9991] 1.24619908 0.84571423 1.03487069 1.40732445 0.47479302 0.40777680
##  [9997] 1.16641557 1.27396911 0.39910365 1.01869220

Probability Density 2:Y~Sum of Exponentials.

Then generate 10,000 observations from the sum of n exponential pdfs with rate/shape parameter (λ). The n and λ must be the same as in the previous case. (e.g., mysum=rexp(10000,λ)+rexp(10000,λ)+..)

In this code, the rexp() function generates random Exponential distributed values with a rate parameter of lambda, and the matrix() function arranges these values into a matrix with n rows and 10000 columns. The rowSums() function then calculates the sum of each row, resulting in a vector mysum containing 10,000 observations from the sum of n Exponential distributed values.

I can modify the values of n and lambda to generate random sums of Exponential distributed values with different characteristics.

set.seed(0)
n = 4
λ = 5
# mysum=rexp(10000,λ)+rexp(10000,λ)+..
#Y <- rowSums(matrix(rexp(n*10000, rate=λ), nrow=n))
Y <- rexp(10000,λ) + rexp(10000,λ) + rexp(10000,λ) + rexp(10000,λ)
print (Y)
##     [1] 1.52176294 0.97861901 0.39396598 0.73372111 0.83558749 0.84663902
##     [7] 0.47764551 1.19393431 0.65265246 0.78559765 1.68109867 0.43810188
##    [13] 1.58363680 1.07554901 0.32004318 0.73520507 0.63146571 0.20666862
##    [19] 0.83676144 1.29823621 0.45977814 0.68655990 0.92518138 0.27976189
##    [25] 1.21278175 0.38743489 1.08896163 1.30251868 0.77076660 1.96177133
##    [31] 0.15508081 1.09128209 0.69948205 0.66357473 0.66533841 0.50439159
##    [37] 0.95789035 0.64096306 0.51882214 0.75124342 0.55501043 0.94494715
##    [43] 0.70435012 1.00435601 1.19408645 0.60653386 0.48839008 1.03847692
##    [49] 1.33212464 0.70581306 1.09730878 0.86137951 1.35276925 0.39618947
##    [55] 0.47540853 0.49668758 0.43862460 0.72753968 0.49682387 2.16142635
##    [61] 0.66963860 0.99325958 0.45968103 1.43333919 0.51903599 1.42660796
##    [67] 0.55015852 0.99253265 0.56916022 0.60526424 1.36062195 1.71264672
##    [73] 1.04134743 0.58799059 0.96374567 0.47631575 0.66586965 0.63051816
##    [79] 1.50037990 0.60316340 0.48957749 0.54317536 1.71398450 0.84818510
##    [85] 0.87841715 0.84182160 0.49763626 0.79279579 0.64757258 1.25108112
##    [91] 0.46408921 0.36447976 0.77228363 0.33610817 0.69345359 0.67358474
##    [97] 0.42787970 1.61146343 0.24076892 1.20052441 0.91788375 1.30484709
##   [103] 0.32351275 0.55954497 1.32056847 0.99746673 0.81432205 2.94954787
##   [109] 0.72015772 0.69141512 0.94606788 0.27800575 0.27990878 0.57173858
##   [115] 0.48151070 1.22914726 0.41829060 0.45621622 0.82385368 1.53899302
##   [121] 0.34722764 1.19425028 0.89514257 1.02814747 0.11867604 0.80946835
##   [127] 0.67841316 0.78758161 0.60730920 0.39832926 0.45246968 0.59719185
##   [133] 1.21615848 0.52303601 0.69583488 0.94127873 0.16776417 1.18355145
##   [139] 0.85123164 0.54910740 0.62313783 0.75157286 1.17292463 1.02760540
##   [145] 1.43879633 0.32757287 0.20480116 1.35478954 1.47078566 1.03778040
##   [151] 0.80751581 0.54193307 0.79031226 0.91965875 0.20378066 1.01486840
##   [157] 1.50703545 0.37678757 0.55394242 0.64647577 0.21561068 1.64929262
##   [163] 0.59005541 1.46192730 0.60316404 1.12575168 0.95125817 0.38148600
##   [169] 1.19317519 0.94261218 1.31892764 0.25102371 1.01978203 0.64053444
##   [175] 0.96041739 0.56563166 1.69370302 0.96114050 0.50015953 1.05424105
##   [181] 0.33471024 0.46201446 1.13244603 1.05683014 0.82411915 0.74928986
##   [187] 0.82466225 0.43684213 1.50877701 0.99147206 0.77541995 0.44849752
##   [193] 0.89316942 0.61432504 0.38203221 0.71031691 0.57292111 0.57385749
##   [199] 0.60715183 1.06196737 0.54304299 1.13476124 1.46466072 0.74139361
##   [205] 0.58842095 1.63509359 0.84852493 0.87693952 0.91266250 0.22365125
##   [211] 1.26362109 1.63309055 0.88562047 0.35595382 0.41649755 0.86168888
##   [217] 0.77516429 0.62213158 0.60610231 0.56180686 0.32054439 0.74499992
##   [223] 1.04992802 0.97623814 0.13153802 1.28394001 0.25102618 0.54664175
##   [229] 0.64195393 0.73351695 1.74517324 0.92710338 0.29222511 0.48007390
##   [235] 0.41857177 0.87299842 0.33986351 1.26756805 1.01908585 1.19230410
##   [241] 0.29635368 0.75878514 1.04114462 0.44912704 1.28774211 0.71741551
##   [247] 0.72497597 0.96841165 0.90618527 1.12380159 0.20471876 0.51600143
##   [253] 0.20541262 0.53564683 0.63090684 1.05458130 0.52698528 0.43909968
##   [259] 0.54940680 0.77095652 1.71146862 1.16206764 1.08869225 0.66394515
##   [265] 0.80252653 0.87335830 0.68373190 1.12618569 0.51172820 1.13662135
##   [271] 0.73620938 0.61970758 0.53747605 0.67059504 1.95217068 1.64448947
##   [277] 0.30349377 0.67774033 0.49210541 0.95091045 1.03993426 0.27881845
##   [283] 0.96009641 0.88445353 0.37419937 0.51549884 0.80871261 0.33270922
##   [289] 0.88068337 0.76995114 0.49100403 0.34912908 0.41371480 0.25794781
##   [295] 0.53679208 1.20799908 1.69989358 0.32812855 0.64154340 0.91886427
##   [301] 1.83354549 0.86051299 1.24154689 1.08869024 0.33467537 0.69056992
##   [307] 0.37211066 1.81386165 0.94221826 0.57652547 0.61094239 0.38919711
##   [313] 0.63812978 1.11974420 1.18589955 0.79266528 0.44363893 0.40618828
##   [319] 0.73678839 0.39570468 0.56918707 0.55457359 0.40382875 1.58339366
##   [325] 0.40712487 0.65017667 1.03547162 0.62833254 1.41631512 0.31119941
##   [331] 1.79406773 0.52713897 0.73700833 0.77022366 0.75520130 0.82236684
##   [337] 0.77782260 1.60404535 1.59953391 1.12722673 0.97553568 0.46689957
##   [343] 0.90051092 0.84549059 0.85003071 0.85173634 0.76060457 0.75430975
##   [349] 0.80130338 0.54647413 0.86949470 0.34713565 0.87811755 0.88426116
##   [355] 0.56385074 0.67383531 0.86061611 0.91700070 0.51653665 0.61021798
##   [361] 0.97857642 0.45625661 0.49402411 0.51048927 1.02990595 0.67868139
##   [367] 0.67792102 1.36680959 0.46003489 1.06370563 0.28754055 0.47160941
##   [373] 0.62956304 0.63203087 0.55123480 0.31166431 1.37274768 0.82380668
##   [379] 0.55996654 1.99917862 0.94432659 1.21975629 0.44530668 0.44257075
##   [385] 1.28820353 0.46061682 0.74410483 0.26257206 1.21764965 1.91669580
##   [391] 0.71287171 0.57077637 0.37170864 1.16159751 0.65179744 1.00254772
##   [397] 0.58173346 1.37447053 1.52087017 0.18680149 0.31875047 0.50421550
##   [403] 0.49075213 0.86274459 0.70295582 0.69303777 1.30339563 0.78121986
##   [409] 0.85284890 0.44824272 0.87368799 0.36661787 0.50506999 1.58050164
##   [415] 0.91120895 0.36469969 0.25294928 0.31470828 0.84634420 1.10232068
##   [421] 0.47157733 0.91249286 1.50298813 1.11260685 0.87540313 0.33127006
##   [427] 0.30219811 1.07992929 0.72980275 1.51830070 0.63184830 1.33610510
##   [433] 0.50714957 0.67563465 1.02911869 0.98702815 0.73147905 0.66789897
##   [439] 0.29807492 0.82137605 0.95604350 1.04911931 1.39805464 0.91044109
##   [445] 1.27502913 0.81649528 0.95517368 1.13605400 0.62794306 0.48342233
##   [451] 0.85941948 1.52588929 0.65593625 0.20041902 0.42262908 1.70392016
##   [457] 0.69160594 0.82557701 0.88866642 1.59083394 0.48140293 0.78505719
##   [463] 0.48367427 1.23695117 0.55697605 0.75671261 0.92403969 0.79614322
##   [469] 2.18560821 0.29800679 0.85451486 1.02577214 0.74630126 0.58230306
##   [475] 0.75418947 1.88752095 0.48762641 0.14002720 0.81182313 1.05746347
##   [481] 0.81426853 0.63735757 0.38503265 0.40680655 0.36940585 1.29571546
##   [487] 0.62718579 0.33853602 0.75178574 0.68178743 1.76170035 0.56310047
##   [493] 0.70822561 1.14227041 0.20305891 0.43736931 0.51585409 0.55328392
##   [499] 0.68297451 0.23504781 0.80775946 0.39904408 0.45685706 0.91337826
##   [505] 0.93117170 1.12532312 0.58043442 0.99552462 1.19198869 0.48551361
##   [511] 1.68044663 0.64875599 0.56834977 0.60541399 0.98211240 0.61670926
##   [517] 0.86475962 0.57749063 1.92102394 0.75605592 1.38175120 1.63314259
##   [523] 1.07946835 0.82453840 1.38319081 0.86865931 0.80282833 0.80880172
##   [529] 0.94258875 1.66368347 1.67184217 0.76431887 0.85459983 1.30251219
##   [535] 0.52229084 1.04361841 0.48948519 1.10879131 1.15979144 0.82236631
##   [541] 1.56705900 0.74296881 0.75168371 0.37398333 1.21422741 0.58995764
##   [547] 0.52020916 2.01889159 0.17859561 0.31628473 1.01801629 1.00186575
##   [553] 0.15445812 0.47190096 0.62941188 0.45043227 0.52033802 1.29763417
##   [559] 0.47828140 0.67709654 1.17225953 1.32776807 0.70073102 0.76451219
##   [565] 1.14873864 0.86094755 0.28829815 0.74885138 1.16248490 0.77883510
##   [571] 0.43611475 1.00680829 0.99217076 1.08976115 0.35893475 0.30064957
##   [577] 0.50495908 0.32720384 1.02211981 0.75910640 0.61731060 0.49376092
##   [583] 0.49355355 1.06185024 0.41357709 0.68109666 0.19370303 0.35119717
##   [589] 0.31968271 0.72004437 0.44316133 0.60355882 0.33944511 1.05614461
##   [595] 0.26202629 1.89930258 0.52146694 1.19221316 0.37103397 1.25387604
##   [601] 0.87231813 0.36128200 0.68936735 0.33531455 0.36254455 0.35496157
##   [607] 0.65734021 0.17698871 1.28253243 0.40248491 0.44394228 0.28671581
##   [613] 0.86235496 1.51165284 0.24245388 0.60587974 1.03241121 0.91336608
##   [619] 0.56373262 0.46459643 0.97033594 0.95218915 0.77619537 0.81053261
##   [625] 0.87116702 0.20988103 1.22925962 1.84858619 0.77043744 0.61321165
##   [631] 0.71883740 0.66283128 1.93159794 0.59657983 0.58743978 0.18240118
##   [637] 1.28487180 0.35864751 0.49626210 0.63618266 1.03938166 0.37142016
##   [643] 0.77998907 0.26092423 0.72470613 0.64706458 1.07903835 0.82013241
##   [649] 0.35609854 1.60984077 0.16462978 1.13218358 1.19669457 0.79685632
##   [655] 0.26173311 1.34038435 1.08122239 1.37177042 0.94703981 0.65032344
##   [661] 0.76890914 1.57666761 0.42710511 0.46463464 1.46759688 0.37881898
##   [667] 0.53806486 0.44490024 0.54660478 0.89351126 0.44660406 1.65792890
##   [673] 1.52247653 0.75994953 0.91922123 1.13764110 0.90728233 1.42012485
##   [679] 0.60858887 1.37220212 1.28384571 1.06106637 1.06102383 0.49235429
##   [685] 0.40831382 0.65611251 0.42907879 0.74622112 0.35880438 1.23685630
##   [691] 1.04034289 0.27870238 0.87616093 1.03776502 1.29811550 0.30466267
##   [697] 0.43978431 0.48355171 0.38991100 0.32329884 0.81203256 0.98762076
##   [703] 0.78687741 0.67762169 0.83171322 1.36302610 0.38598989 0.87164944
##   [709] 0.58747293 0.40029538 0.81024243 0.81431603 1.90696634 0.51591450
##   [715] 1.24331099 1.17584616 0.49296078 0.60443727 1.50777184 0.40026349
##   [721] 0.83814930 1.10088964 0.89384905 1.31499981 1.54944278 0.17478398
##   [727] 0.87959655 0.63843832 1.53010807 0.58934650 0.85628275 1.42615622
##   [733] 1.09995972 0.75980298 1.42432466 1.51325845 0.67503568 1.02299306
##   [739] 1.07770332 1.38848946 0.91963083 0.85437844 1.20933346 0.53387315
##   [745] 1.20438699 0.12186436 2.76590704 0.92848650 0.54114934 0.47578658
##   [751] 0.39862787 0.81099530 1.05058154 1.06515030 0.82927815 0.52620244
##   [757] 0.60207265 0.63838921 0.69135107 0.42575531 0.36220724 0.96448133
##   [763] 0.62086662 0.56225963 0.52901815 1.08114604 0.73258440 0.70339848
##   [769] 0.85684649 0.72282982 1.10145459 0.48962413 0.60283919 1.96828811
##   [775] 0.28922789 0.32853981 0.37552029 0.82883024 0.47053979 0.97933364
##   [781] 2.04481759 0.82546191 0.41775299 0.38908644 1.11432869 0.81474764
##   [787] 0.57337342 0.21887857 0.84325872 0.83575267 0.73645382 0.29121388
##   [793] 1.06269339 0.49187933 1.14320041 0.76737937 0.26167534 1.25487651
##   [799] 0.71074385 1.23681437 0.79829327 0.40425465 0.40505662 1.12685856
##   [805] 0.28635006 0.22981228 0.17379534 0.55861977 0.57543023 0.77420628
##   [811] 0.69091700 0.69256870 0.93794696 0.98724733 1.01337642 0.57198600
##   [817] 0.47025111 0.87611855 0.88624454 0.37370823 1.62887984 1.06602080
##   [823] 0.23576426 1.16867007 0.90809857 0.21410318 0.88317136 2.01180445
##   [829] 0.22483789 0.61307926 0.29607873 1.19412387 0.61704379 1.03324206
##   [835] 0.44709434 0.65962343 1.38963002 0.35258070 0.76434961 0.57279318
##   [841] 1.23065604 0.77839046 0.84435699 1.28291597 0.58541054 1.19176416
##   [847] 2.26739412 0.84810721 0.57339195 0.99531726 1.63651102 1.32639899
##   [853] 0.50118669 0.96671629 0.72973865 1.02074716 0.52825448 0.91419762
##   [859] 1.04018850 0.38368258 1.69393992 0.76216085 1.10529854 1.26193133
##   [865] 0.65041540 1.15665680 0.42738579 0.39737059 0.87339484 0.45240867
##   [871] 1.10901942 0.20210039 0.98379133 0.60814460 1.05199580 0.34468512
##   [877] 0.95238639 1.08661805 1.18074828 0.47409544 0.79233605 0.28084233
##   [883] 1.30721689 0.77321538 0.61790043 0.93137177 1.38877889 0.90249262
##   [889] 0.95325788 0.90320725 0.34005831 0.46534870 0.64459117 1.22491784
##   [895] 0.64229571 0.18575714 0.39344802 1.59811416 1.22171218 1.75920966
##   [901] 0.47998052 0.47355050 0.81961901 1.86204684 1.41393264 1.14313890
##   [907] 0.44652686 1.29675284 0.26502718 1.37453070 0.37365889 1.09262867
##   [913] 0.65645572 0.31863981 1.75784345 1.13086385 0.68352035 1.28115784
##   [919] 0.50764647 0.58332284 1.16882349 0.36458314 1.08770166 1.32125325
##   [925] 0.57599119 1.26545019 0.77286764 0.79454120 1.74170059 1.04051232
##   [931] 0.77348003 1.37040655 0.37174523 0.92774079 0.39631532 0.58093070
##   [937] 1.45000556 1.27419261 0.46642058 0.95031717 0.66910178 0.62654935
##   [943] 0.84443730 0.20716124 0.41969727 0.86238338 0.46930609 0.36409964
##   [949] 0.17421828 1.01054504 0.57779235 1.64186561 0.48220953 0.24832359
##   [955] 0.54297161 0.56986367 0.48301178 0.69038094 0.60570823 0.33821926
##   [961] 0.46883856 0.95707858 0.74974347 0.87888430 1.01065342 0.47385207
##   [967] 1.32606525 1.53148795 0.77771821 1.49272475 1.07851056 0.26777910
##   [973] 0.37940875 0.61197155 0.22093549 0.76121651 1.10736473 1.21261930
##   [979] 0.66115243 0.34583757 0.60113708 1.03833470 1.05216496 0.48203390
##   [985] 0.22086334 1.25151663 0.95404107 0.63569835 1.41890207 1.61830977
##   [991] 0.39231606 1.26836034 0.72905287 0.35257676 0.77319564 0.39813133
##   [997] 0.60582825 0.19846574 0.81278812 0.48510258 0.93656414 0.54388163
##  [1003] 0.90574376 0.96490360 0.51406305 0.15189186 1.07649218 0.89118542
##  [1009] 1.20177503 1.97801241 0.73775551 0.60862872 1.18204647 0.79476574
##  [1015] 0.22619075 0.75550413 1.14395242 0.75166485 0.20134650 0.99627323
##  [1021] 1.50677399 1.41184475 0.92118556 0.71770072 0.87160744 1.05179940
##  [1027] 1.15384296 0.63830007 0.84464645 0.47304438 0.31152793 0.93572733
##  [1033] 0.69799339 0.67606192 0.48060846 0.58011098 0.24471264 0.85741874
##  [1039] 0.73105456 0.71859438 0.31500697 1.71523290 0.37753881 0.69394683
##  [1045] 0.43645747 0.68174963 0.27523805 0.57016608 0.91452753 0.58524905
##  [1051] 0.35851418 0.95116806 0.71397578 0.36581408 0.95596357 1.55859494
##  [1057] 0.50877317 1.15349406 0.44853572 0.11138152 0.58158314 0.50815532
##  [1063] 1.52811894 1.64194386 0.61227701 0.93014033 1.17279057 0.77572052
##  [1069] 0.91414400 0.98402401 0.81668559 0.41278133 1.03703496 0.44364916
##  [1075] 0.43150384 0.85779852 0.45567639 0.82923111 1.43501180 0.34716090
##  [1081] 0.32676846 2.16046028 0.36631195 0.91272077 0.52633022 0.51782855
##  [1087] 0.47597666 0.78204571 0.58615995 0.60739004 0.68893684 0.52028941
##  [1093] 0.48892006 1.02799631 0.15110490 0.36212934 1.60191674 0.99442722
##  [1099] 1.26131599 1.48931983 0.75989594 0.56877045 0.31982141 0.23119462
##  [1105] 0.71268070 1.02430281 0.80234237 0.58262284 1.11846297 1.27176590
##  [1111] 1.70977425 0.61326566 0.48679580 0.78746728 0.86716525 1.05725242
##  [1117] 0.54678610 0.28848858 0.33040150 0.53434985 1.02692208 0.75328326
##  [1123] 1.44206334 0.70550990 0.98249615 0.56512332 0.64072975 0.64928579
##  [1129] 0.71504490 0.66298092 0.76190462 1.03286564 0.51416849 0.63820287
##  [1135] 1.02368318 0.64115187 0.50192505 1.14114405 0.63767218 0.54720439
##  [1141] 0.33241724 0.67076541 0.70543287 0.63229366 0.95383110 0.41426137
##  [1147] 1.87536885 0.82943644 0.66026776 0.80427222 0.53286827 2.60651462
##  [1153] 0.34993953 0.49825709 1.79326348 1.27388927 0.79758664 0.58811330
##  [1159] 0.82830121 1.24378283 0.88579274 0.93755609 0.93088062 0.83759008
##  [1165] 0.85102514 0.61803460 0.82022219 0.66579332 0.10990192 0.77902861
##  [1171] 0.47672406 0.61065895 1.27781453 0.69157417 0.91726614 0.39271248
##  [1177] 1.16178870 0.55917831 1.67562686 0.21148679 0.53366592 0.72623792
##  [1183] 2.21882617 0.69960277 0.99208651 0.57919068 1.27027323 0.63292455
##  [1189] 0.78247285 1.03101884 0.10322115 0.53080916 1.01176684 0.70427578
##  [1195] 1.19832980 0.31710569 0.99921438 1.03393923 0.40025538 0.63789073
##  [1201] 0.71851027 1.47631064 0.90642123 0.72239417 1.15520741 0.55649695
##  [1207] 1.15303375 1.62993599 1.89603832 0.82089675 0.51276028 0.96451997
##  [1213] 0.93290548 2.40550849 0.96385197 0.66681631 1.24528971 1.73539885
##  [1219] 0.99071278 1.25795419 0.22820862 0.29512485 1.42368293 0.46173473
##  [1225] 0.93633930 0.40434802 0.80341297 0.69180091 1.26264273 0.31234606
##  [1231] 0.89832948 0.28009528 0.99466150 0.85113280 1.43784376 0.35705430
##  [1237] 1.50679709 0.50465934 0.43415767 1.20832998 0.66538393 0.62590124
##  [1243] 0.43836561 0.55336016 0.47730676 1.42466825 0.37862158 0.76366243
##  [1249] 1.41942427 0.98740179 0.51221211 0.84661107 0.70800023 0.56328325
##  [1255] 0.96549267 0.33832714 0.45287439 0.07168473 0.92738212 1.24755068
##  [1261] 1.24811687 0.26176601 2.34862088 0.65929550 0.74897047 0.32168446
##  [1267] 0.45910688 0.26082508 1.04270111 0.98887183 0.54117778 0.44260018
##  [1273] 0.39285380 0.41542066 0.38908095 1.09253993 0.10029087 0.42923602
##  [1279] 1.92147196 1.06396073 0.59085039 1.61656350 1.42332444 0.57564857
##  [1285] 0.91802234 0.38896681 1.10717280 0.30600703 0.97880379 0.67757397
##  [1291] 0.48108107 0.96110687 0.33670858 0.87509830 0.62098099 0.92861063
##  [1297] 1.14733171 1.08703178 0.84215071 0.23854638 1.48073112 0.77712372
##  [1303] 0.65900230 0.52511015 0.80925284 2.35024550 0.32290383 1.42831371
##  [1309] 0.39963061 0.57561429 0.63812497 0.73971866 0.66873948 1.67369774
##  [1315] 1.41869806 0.38698118 1.11583513 0.98373618 0.47284638 1.46317124
##  [1321] 0.53423913 0.81557745 1.29717962 0.49511230 0.79465451 1.04422144
##  [1327] 0.41176048 0.20273603 0.30365704 1.12863624 0.58334893 0.60557013
##  [1333] 0.26486318 1.18704436 1.01789880 0.99481289 0.49706854 0.61332443
##  [1339] 0.28045347 0.84028846 0.47378679 1.03466824 0.75350578 1.46891419
##  [1345] 0.25665792 0.85288478 0.43135230 0.69088866 1.25604185 0.77664871
##  [1351] 0.62507879 0.72057083 0.42789928 0.93501689 0.50767478 0.32522169
##  [1357] 0.63786983 0.31835121 0.70308334 0.67466120 0.78239464 0.57355546
##  [1363] 0.75268530 0.84618022 0.78530956 0.74873713 0.23062677 0.68862625
##  [1369] 0.52485916 0.41903779 0.97584226 0.70514942 0.73881216 1.42443942
##  [1375] 0.91760270 0.65604437 1.79785510 0.70197353 0.41575045 0.94129164
##  [1381] 0.81210758 0.19028692 0.49716671 1.18475551 0.74277848 0.75685225
##  [1387] 1.32707859 0.45937440 0.99849526 0.91149084 0.80853335 0.68535491
##  [1393] 1.16891978 0.49461743 0.55800347 1.31208025 1.08436478 0.47683752
##  [1399] 0.47611691 0.62089351 0.55371578 1.02439763 0.65765859 1.56406375
##  [1405] 1.62122898 0.62195206 0.29545158 1.07986134 0.72575576 0.87027914
##  [1411] 0.81432645 0.47661419 0.48692081 0.52443402 0.95717765 0.23584398
##  [1417] 1.13901983 0.48556056 0.57045303 0.54007966 0.18357751 0.43356971
##  [1423] 0.60495322 1.14239024 1.78125721 0.36793983 0.58994611 0.29414291
##  [1429] 0.62005565 0.26498955 0.75532368 0.47381196 0.71358253 0.91813541
##  [1435] 1.56815603 1.04949973 0.40952606 1.11859486 0.44647345 0.57167704
##  [1441] 0.61056689 0.27464198 0.50221197 0.65779588 0.30528427 0.98076289
##  [1447] 0.86968083 0.92125942 0.88618116 1.35008453 0.27426252 1.01376821
##  [1453] 0.29915990 1.00406554 0.73267791 0.52262482 2.20557732 0.58046733
##  [1459] 0.90997363 0.60920665 1.18867278 0.61523436 0.60965962 0.56002853
##  [1465] 0.74370687 0.59719423 0.36214203 1.09900491 0.76782616 1.46776418
##  [1471] 1.06711019 0.34090446 0.81533716 1.36066499 0.45775657 1.49887167
##  [1477] 1.89299136 0.81828379 0.61351116 0.56580846 0.92364298 1.30964529
##  [1483] 0.81469428 0.87872938 0.82407467 1.24403281 0.94323296 0.86070171
##  [1489] 0.30122240 0.75917726 0.49402057 0.60737136 1.46362021 0.79015018
##  [1495] 0.58558657 0.72647786 1.64506999 0.37552456 1.25012761 0.51649860
##  [1501] 0.87632181 0.88114204 0.97317139 0.65729980 1.10968032 0.94829650
##  [1507] 0.66504228 1.19802689 0.55667133 0.51254443 0.96663664 0.78992079
##  [1513] 0.80219976 0.73124659 0.66711069 0.80895061 1.64594546 0.87963548
##  [1519] 0.68969026 0.97494131 0.16721618 0.53014581 0.86603130 0.29181578
##  [1525] 1.07244045 0.49483965 0.27201156 0.64547292 1.09657783 1.09477363
##  [1531] 1.14028860 1.24300004 0.30753324 0.58910520 0.62602640 0.74712057
##  [1537] 1.21013728 0.33574405 0.80286889 0.87279266 0.50988357 0.29176702
##  [1543] 0.10740452 0.82465003 1.24682419 0.34889859 0.91413056 0.52371363
##  [1549] 0.49845474 0.51611202 0.74479339 0.73044889 0.68150379 0.57703194
##  [1555] 0.58552097 0.47371734 0.86034964 0.79980991 0.69291476 0.43715408
##  [1561] 0.60109330 0.44086195 0.35166270 0.95245046 0.35462481 0.96239051
##  [1567] 0.78186388 1.19467890 0.95372518 1.23659379 0.40161233 0.46488968
##  [1573] 1.02575101 0.65972444 1.23571999 1.32079638 0.66370184 0.66007362
##  [1579] 1.84881259 0.63570611 0.52197275 0.47963462 0.25403624 0.32693327
##  [1585] 1.53835928 0.46394617 0.66530871 0.95878747 0.68595020 1.46722991
##  [1591] 0.93550715 0.94131916 0.62544446 0.31222769 1.12173909 0.53887403
##  [1597] 0.95321999 1.32974136 0.95717019 1.15883711 0.61846420 0.76304978
##  [1603] 0.82654687 0.63576708 0.80443214 1.12017253 0.62039745 0.62328498
##  [1609] 0.44293228 1.18984856 1.02661051 0.55634189 0.76759825 0.96493705
##  [1615] 0.63772618 0.86222241 0.62814859 0.66242381 0.54460871 1.14401158
##  [1621] 0.94860527 0.72784243 1.40243035 0.63574935 0.92346478 0.39470451
##  [1627] 0.63661930 0.21706001 0.56360031 0.67289179 0.74866306 0.82275026
##  [1633] 0.96019016 0.31067526 0.94041157 0.62135737 0.18110810 1.09266741
##  [1639] 0.66261481 0.79923286 0.34200574 0.66402208 0.33996061 1.02213271
##  [1645] 0.55000795 1.56816863 1.66346949 0.94757567 0.50222441 0.67505092
##  [1651] 0.63722435 0.27044370 0.64019404 0.44348176 0.68258754 0.49388039
##  [1657] 0.32618912 0.60150490 0.35056410 0.79546691 0.59703735 1.10401545
##  [1663] 1.86222253 0.87121595 1.12272183 1.01608566 0.72604141 0.87743030
##  [1669] 0.99792151 0.91383711 0.99383400 0.19748128 0.47271847 0.48174289
##  [1675] 1.02267697 0.80086617 1.50668794 0.42648045 0.41540234 0.36767429
##  [1681] 0.53155465 0.97534321 1.36290922 0.55093208 1.04885923 1.08937855
##  [1687] 0.35430548 0.94943566 0.51439643 0.70905900 1.09073805 1.02371784
##  [1693] 0.40496618 0.61174630 0.79844514 1.25954407 0.53088661 0.60192437
##  [1699] 2.18123167 0.54813437 0.69069776 2.44068456 0.78337788 0.63168184
##  [1705] 0.43487486 0.56617340 0.54119392 0.55276389 1.30135463 0.84589501
##  [1711] 1.04093774 0.94140064 0.40081979 0.75329682 0.91935479 0.86577675
##  [1717] 0.46926454 1.08558408 0.52188112 0.30286696 0.89158601 0.68606772
##  [1723] 0.48534721 0.68591427 1.84451808 0.41098886 0.66313165 0.80360621
##  [1729] 1.31385841 0.25000259 1.75833221 1.17787560 1.00341919 0.81238737
##  [1735] 0.83442733 1.15592421 1.44585822 0.69401623 1.05855356 0.88202584
##  [1741] 0.88298706 1.30469685 0.43282930 1.56373022 0.72792236 0.88867215
##  [1747] 0.44926519 0.82425605 0.33859365 0.42992470 0.48098976 1.47437444
##  [1753] 0.45829410 0.66382393 0.69060469 0.47926707 0.43487639 0.36211423
##  [1759] 0.60564054 0.45118400 0.89655807 0.45349410 0.67893917 1.55575124
##  [1765] 2.03817814 0.84111306 0.64701534 0.81826384 0.95544134 0.60145922
##  [1771] 0.58714315 0.91425410 0.63532163 1.13209871 0.95317925 0.48987066
##  [1777] 0.12133876 0.46093887 0.21705018 0.58481655 1.41489573 0.28016512
##  [1783] 1.37574728 1.61577933 0.99587721 0.55981600 1.41973216 0.26674441
##  [1789] 0.83378331 0.77543654 0.79927601 0.50995441 0.86264482 0.46920889
##  [1795] 0.73537596 1.27109408 0.97073843 1.03619067 0.47272827 0.82463936
##  [1801] 0.52041291 1.03459174 0.91654821 1.20707904 0.56610066 1.14955789
##  [1807] 0.41374357 0.51778657 0.69286036 1.03846768 1.09348760 0.52787248
##  [1813] 0.49112145 1.34436296 0.82412479 1.15628915 0.55822453 0.38442951
##  [1819] 0.97196684 0.54330482 0.41553514 0.68598141 1.21084659 0.54920319
##  [1825] 0.43838725 0.57277637 0.97634199 0.19044473 1.39316417 0.61686766
##  [1831] 1.03377583 0.19377983 0.22644213 0.76827128 0.68620540 0.55073071
##  [1837] 0.41972346 0.53912723 0.48634523 0.96620270 1.02159249 0.62027941
##  [1843] 0.35822993 1.31982750 0.98591451 1.36328615 1.13046043 0.49166147
##  [1849] 0.79534846 0.64610042 1.74846526 0.94427292 1.31338926 1.02922096
##  [1855] 0.83131539 0.37625333 0.56702948 0.52846955 0.57902557 0.26920735
##  [1861] 0.88447819 0.52084467 0.55645821 0.66882648 0.34987299 0.34114917
##  [1867] 2.38013103 0.59888794 0.67376359 0.85622784 0.92430555 1.21641580
##  [1873] 0.51704972 0.44419032 0.48934914 0.63771513 1.01474413 0.78064650
##  [1879] 0.40238834 0.14634112 0.84111701 0.28235865 0.37335977 0.73097310
##  [1885] 0.41733933 0.51792676 0.93763437 0.98229045 1.98261085 0.35377953
##  [1891] 0.62597897 0.88124885 0.54968514 0.30269431 0.92769741 0.39061149
##  [1897] 0.99538809 1.09993170 1.40853509 1.61790623 0.24232456 0.48038831
##  [1903] 1.24201391 0.89754623 0.51457950 0.73780478 1.56908779 1.20271771
##  [1909] 0.36617490 0.61682887 1.65076593 1.12484853 0.82742151 1.81834286
##  [1915] 0.68322978 0.79773208 1.34379100 0.52555738 2.51876597 0.59762359
##  [1921] 1.57869796 1.25007533 0.47294982 0.83732545 0.54712059 0.97414951
##  [1927] 1.30737559 1.49654710 0.84451612 0.72354134 0.46487640 0.08763150
##  [1933] 1.05788506 0.81326384 0.62023646 0.66984077 0.29576200 0.85553750
##  [1939] 0.72452157 0.83030144 0.41728054 0.83890475 0.65869975 0.50328987
##  [1945] 0.49088029 1.38074062 0.60734594 0.58269102 0.73104387 0.94402280
##  [1951] 0.46433162 0.41460628 0.68198398 1.82777913 0.33518135 0.85355594
##  [1957] 1.07334616 1.32828697 1.29431627 0.38597680 0.34545798 0.30173992
##  [1963] 0.62522306 0.49708312 0.45908308 0.38237685 0.26889276 1.16111043
##  [1969] 0.52283380 0.38841601 1.10633778 0.45198157 0.91273834 0.48135399
##  [1975] 1.69481350 0.71263931 0.95058911 0.71883495 0.43928173 1.33341634
##  [1981] 0.97807775 0.93028366 0.42197786 0.49447127 0.10910946 0.55760024
##  [1987] 1.75617060 0.77093480 0.62484341 0.90185274 0.96166368 0.82355196
##  [1993] 0.47862599 0.59171827 0.87665497 0.55477766 0.70600740 0.71894953
##  [1999] 0.75897488 0.72741101 0.84344397 1.60613086 0.71784616 1.04007974
##  [2005] 1.95139152 1.12863907 0.49427507 1.39973666 0.43191564 0.54836304
##  [2011] 0.80092440 1.71851904 1.20379991 1.02605285 0.42216189 0.64769684
##  [2017] 0.41607430 1.01892833 1.69042019 1.08209746 0.42179482 1.31282473
##  [2023] 1.54481314 1.20506829 0.58129002 0.33665605 0.71473032 0.80342681
##  [2029] 0.38422679 0.25820253 0.25901266 0.37830105 1.26201205 0.67819725
##  [2035] 1.09807056 0.43126900 1.86212564 0.80631882 0.11499129 0.29230710
##  [2041] 0.86898701 0.77402848 0.63396936 0.73759863 0.41842764 0.29272967
##  [2047] 0.29354707 0.72848135 0.31919602 0.83983538 1.22311616 0.23467642
##  [2053] 1.05589333 0.61366735 0.93144067 1.54537147 0.48483964 0.62233216
##  [2059] 1.35175047 0.68648275 0.92770542 0.41280511 0.38179008 0.62698411
##  [2065] 0.71638250 1.40826372 0.73027727 0.42428499 0.37243708 0.66046071
##  [2071] 0.52125300 0.69286492 0.66137131 0.65016183 0.95322501 0.33831404
##  [2077] 0.88337212 1.11864757 0.51159361 0.94430694 0.39348240 0.56026151
##  [2083] 0.88019190 0.40995933 0.95130867 0.37087204 0.81459269 0.58619866
##  [2089] 0.99908560 0.46885438 0.68304211 1.67300687 0.60611402 0.72165817
##  [2095] 1.37869373 0.23389178 1.15618541 0.69633516 0.47766464 2.35375844
##  [2101] 0.70525204 0.53976041 0.71148124 0.77786463 0.85907136 0.50070801
##  [2107] 0.84368943 0.23969452 1.86313955 1.25344566 0.48406714 1.16149146
##  [2113] 1.05742585 0.89352394 1.60249495 1.23011250 0.74977135 0.66100908
##  [2119] 1.60163984 0.64284832 1.27390991 0.53302527 0.49795695 0.87079809
##  [2125] 0.44244526 0.68173314 0.56484773 1.10948617 0.71251927 0.49142255
##  [2131] 0.88508434 0.75744779 0.84758855 0.17545239 0.41658881 0.40958692
##  [2137] 0.93425040 0.76607059 0.53169344 0.58968425 1.56219442 0.82542761
##  [2143] 0.94273006 1.53895619 0.65018813 0.83127290 1.47982352 0.60966046
##  [2149] 0.50097448 0.92286495 0.33482327 0.22503683 0.59800938 1.19201815
##  [2155] 0.44619741 0.71338754 1.22717769 0.60721295 1.27169282 0.67458098
##  [2161] 0.16490632 0.87031151 0.61385932 1.66193325 0.64237658 0.48632561
##  [2167] 0.23318960 0.74378334 0.72690646 0.47990331 0.49935666 0.77697787
##  [2173] 0.92811216 0.75234850 0.72346085 1.30899598 0.48924740 0.82766661
##  [2179] 0.39081380 1.06271833 1.55921180 0.62626311 0.71065317 1.02338040
##  [2185] 0.21202641 0.74445232 0.16348687 0.74300899 0.81017985 1.49817418
##  [2191] 1.47506917 0.89217884 0.78444475 0.36838639 0.98264380 1.21205869
##  [2197] 1.11979424 0.46236524 0.16379995 1.08330843 0.82627477 0.71373041
##  [2203] 0.68368330 1.32817335 1.39273301 0.72935951 1.09924785 1.75952724
##  [2209] 0.77332363 0.65732278 0.34321544 0.39184830 0.81952277 0.61465264
##  [2215] 0.44684959 0.91058207 0.31309771 0.96798776 1.18392816 0.96615550
##  [2221] 0.95294583 0.62976603 1.60404574 0.57781340 0.74973303 0.60644952
##  [2227] 0.51147088 1.38076931 1.51299407 1.05073132 0.34849990 1.47373998
##  [2233] 0.50584930 0.77233516 0.69300669 0.59993059 0.50592768 0.61052922
##  [2239] 0.87879918 0.74381478 0.76921145 0.43352875 0.50421567 0.75526408
##  [2245] 0.78490767 0.95435442 0.76035317 0.90073305 0.53833717 1.60177725
##  [2251] 2.14650442 0.81529662 1.99283155 1.00961689 0.55332171 0.84839771
##  [2257] 0.22416841 0.66325012 1.80281442 0.96108159 1.56859110 0.64385489
##  [2263] 1.01001707 1.52528094 0.76951380 0.56289698 0.93027013 1.10155802
##  [2269] 0.99609598 0.75922651 0.81557763 0.30461927 0.27776298 0.74954494
##  [2275] 1.04159786 0.73383146 0.47249673 0.16525021 1.10987613 0.30117935
##  [2281] 0.49135477 0.45855310 0.36688103 0.82871317 0.22732058 1.15371762
##  [2287] 1.12993173 0.66466771 0.74781685 0.54380211 0.11084699 0.85992280
##  [2293] 0.74938099 0.68487697 1.78022695 1.05166113 0.34602922 0.35948716
##  [2299] 0.64627489 1.44764887 0.49959636 2.29776673 0.87906196 0.47324166
##  [2305] 0.28529269 0.94251024 0.84197792 0.92920625 1.10322865 0.57085852
##  [2311] 0.71523998 0.12294083 0.37381572 0.76163060 0.89671862 0.74187304
##  [2317] 0.82823932 1.21709667 1.12954768 0.60005885 0.42342670 1.08302788
##  [2323] 0.88213396 0.61203939 0.62057842 0.93831402 0.40691606 0.40636692
##  [2329] 0.72316768 1.03625707 0.93066195 0.51373119 1.05378312 0.92333092
##  [2335] 0.77096905 0.75266037 0.45376926 0.52932884 1.01632098 0.81838926
##  [2341] 2.28933897 1.07599591 0.60598575 0.67709538 0.70205571 0.76365823
##  [2347] 0.37704143 0.66113649 1.40801539 1.32966566 0.98381166 0.16190643
##  [2353] 0.75588543 0.57338698 0.97261347 0.84964801 1.00476449 1.17436893
##  [2359] 0.47953831 0.88079917 0.85916287 0.38186274 0.73231998 0.63841457
##  [2365] 0.41309292 0.69921908 1.57176683 1.37962042 0.44721359 1.29676339
##  [2371] 0.74435729 0.43315292 1.55308168 0.85015347 0.78324207 0.14253118
##  [2377] 1.08506553 0.99958658 2.02322556 1.44427439 0.89106737 0.36174184
##  [2383] 1.11595806 0.89869027 1.13856943 2.24971393 0.51792557 0.48431821
##  [2389] 0.67971160 0.72743535 0.62704795 1.12432731 0.78622934 1.20227284
##  [2395] 0.64967355 1.00592699 1.11153550 0.30158505 0.30309527 1.03657185
##  [2401] 2.13047818 0.54405552 0.58912032 0.97020474 0.59972521 0.78671665
##  [2407] 0.49678136 0.14007499 0.86943782 1.20624097 1.02174292 0.55111359
##  [2413] 0.54867219 1.31795590 0.89146203 1.15025864 0.97412468 0.49022975
##  [2419] 1.45538101 0.84300927 0.73706024 1.52759299 0.46564607 0.74532694
##  [2425] 0.88394551 1.02642555 0.57859301 0.81829364 0.26906208 0.34853981
##  [2431] 1.07887899 0.65868905 0.75543326 0.22055953 0.60284426 0.61493243
##  [2437] 0.19117219 1.41671642 0.50150848 0.83598201 0.40679136 1.74990304
##  [2443] 0.66824276 0.67508165 0.82290127 0.82842626 1.22213796 0.22581197
##  [2449] 0.96372477 0.59435924 0.45843306 1.03338772 0.61816617 0.59481528
##  [2455] 0.73971383 0.25479629 1.62652341 0.97579909 0.31916141 0.63139729
##  [2461] 0.87162037 0.25536011 0.98603974 0.90633703 1.11011816 0.85357499
##  [2467] 0.76349612 0.97694408 0.42967461 0.29939559 0.74190230 2.76077051
##  [2473] 0.45493856 0.54182943 0.54175120 0.65874556 1.64146916 0.96612724
##  [2479] 0.99737728 0.51229193 0.74694985 0.74342466 0.43323332 0.98609317
##  [2485] 0.32528778 0.55437643 0.83696144 1.69982507 1.17257284 0.73773015
##  [2491] 1.17150793 0.16824320 1.43060099 0.60926327 1.19377299 1.38080324
##  [2497] 1.07109575 1.22561411 0.67755493 0.40536954 0.64316009 0.98230703
##  [2503] 0.45270058 0.47992403 0.66653541 0.89555426 0.37861947 0.85919543
##  [2509] 1.36375951 0.93778034 1.81538037 0.45831575 1.30144628 0.36913531
##  [2515] 1.00240453 1.10307176 0.69387085 0.73635419 0.71339960 0.87342935
##  [2521] 0.15328023 1.32870573 0.48864640 0.28171001 0.96880049 0.86440334
##  [2527] 0.82311822 1.53565566 0.52636496 1.09919211 1.45789824 0.86485774
##  [2533] 0.55524949 0.36670676 1.03125573 1.94058397 0.26772863 0.68059672
##  [2539] 0.75926500 1.13600294 0.19809914 0.61696831 0.94190016 1.03152414
##  [2545] 0.99557924 1.03942052 0.62602787 1.15233665 0.99678384 0.22925182
##  [2551] 0.44639252 0.74859058 1.67129336 0.35196978 1.28718675 0.64025355
##  [2557] 0.85722286 1.06119900 0.58526644 0.83000086 0.36630401 0.46362007
##  [2563] 0.48242029 0.99051825 1.77244023 0.44785496 0.53705681 0.49054047
##  [2569] 1.22374992 0.74718345 0.62259191 0.79056068 0.65318132 1.01724361
##  [2575] 0.64502598 1.70515158 2.00215233 0.26973065 0.36640323 0.62052544
##  [2581] 1.14975791 1.11519246 0.96843174 1.58010222 0.16754898 0.67968638
##  [2587] 1.26867499 1.17642909 0.70571478 0.94674014 1.36718768 1.22036424
##  [2593] 0.81143685 0.76837738 0.71188692 0.61584934 0.70394839 0.68300621
##  [2599] 0.70072250 0.30760673 0.06191950 0.38710981 1.01974582 0.73021888
##  [2605] 0.65209871 0.12556100 2.03697468 0.63848663 0.31879711 0.68952921
##  [2611] 0.54694928 0.53840589 1.20803541 1.61433880 0.36266454 0.70215340
##  [2617] 1.06614512 0.85022989 0.45354834 0.59884828 0.66594172 0.79808026
##  [2623] 0.92380313 0.99714553 0.96464740 0.35741032 0.84430870 0.67596720
##  [2629] 0.96385442 0.46650374 0.55484954 0.09747478 1.03771528 0.65273881
##  [2635] 1.12909265 0.27746246 1.29424528 1.00910277 1.19843826 0.42661566
##  [2641] 0.82495602 1.24871552 0.62527634 0.40847680 0.71208932 1.14056600
##  [2647] 1.05679774 0.44720559 1.16681797 0.67290338 0.40513192 0.88960961
##  [2653] 0.26307480 0.81529360 0.94506202 0.98527307 0.32380086 0.96001724
##  [2659] 0.18941624 0.45452310 0.81607729 0.57251320 1.04230985 0.41744939
##  [2665] 0.58775589 0.56728646 0.91564158 0.95765879 1.23179996 1.02604883
##  [2671] 0.66667129 0.56193642 0.13756983 1.51903503 1.33402405 0.75062922
##  [2677] 0.32673403 1.44800574 1.14271896 0.79604310 1.02381506 0.52320658
##  [2683] 0.21859063 1.41415236 0.82285691 0.99642609 0.75915610 0.31463678
##  [2689] 2.14140801 0.53508824 0.61991063 0.56023622 1.16771002 0.37247000
##  [2695] 0.55953322 0.65184198 0.63559031 0.66880695 0.76417826 1.50139113
##  [2701] 0.43499944 1.12654983 1.02171973 0.34818064 1.05930984 1.25509260
##  [2707] 0.80899718 2.32084998 0.28955338 0.28017122 0.44365689 1.08797704
##  [2713] 0.94038486 0.38994135 0.37502848 1.22563900 0.88598213 0.78739326
##  [2719] 0.34462708 0.95805135 0.87988775 1.09644258 0.27887394 0.69641109
##  [2725] 0.98332517 0.15053072 0.16402869 0.81977643 2.37208442 0.90649539
##  [2731] 0.59763034 0.50537846 0.65481071 1.34240695 0.54582660 0.52354134
##  [2737] 0.97465902 2.82264495 0.81011769 0.51816348 0.51387767 1.27176165
##  [2743] 0.85286174 0.70836030 0.25977238 0.93610699 0.49382622 1.25190445
##  [2749] 0.47266427 0.68785372 0.32008212 0.93897510 0.65943951 0.81755052
##  [2755] 0.49791845 1.66293528 0.61859024 0.91679736 1.38757971 0.90559565
##  [2761] 0.18879008 0.54650139 0.31897010 0.72241461 0.89175209 1.00821839
##  [2767] 1.52390207 0.48436140 1.17921903 1.50536093 1.40950468 0.35344023
##  [2773] 0.62251467 0.77197587 1.18744357 0.53149770 0.78779567 1.10979742
##  [2779] 0.68899721 0.56598870 0.32528711 0.68024717 0.51609104 0.54998024
##  [2785] 0.93896668 0.96938170 1.13901118 0.48971902 0.53217126 0.82717624
##  [2791] 0.64281047 0.26888478 0.62546678 1.20982734 0.76795589 0.63462728
##  [2797] 0.63948869 0.46767901 0.45996211 2.36757019 0.69454937 0.45658548
##  [2803] 0.30821878 1.01251316 1.04096157 0.45639921 0.35992567 0.84797453
##  [2809] 0.70819298 0.20290422 0.35776919 0.83000988 1.18070128 1.02399274
##  [2815] 0.19902363 0.34702747 0.43646309 0.59240109 0.56831884 1.16566425
##  [2821] 0.74393172 0.28646893 0.14601470 0.56552482 0.36447189 1.96576934
##  [2827] 0.26021464 0.51766662 0.91276248 0.83016080 1.60864224 0.93922015
##  [2833] 0.56817403 0.65831219 0.34504859 0.25328841 0.26164687 0.89429023
##  [2839] 1.37912690 0.54708723 0.72254851 0.62445572 0.56301669 0.15660516
##  [2845] 0.85464407 0.92042688 1.15713948 0.65989948 0.80716249 1.02131832
##  [2851] 0.38452380 0.22370764 0.51252943 0.50436379 0.31324544 0.90269250
##  [2857] 1.10118125 1.39561518 0.50953302 0.62262202 0.49583919 0.41580968
##  [2863] 1.09452429 0.57270016 0.44263789 0.68660041 0.79011377 0.57560970
##  [2869] 1.11366444 0.44382922 0.54146562 1.36098402 0.31216416 1.11627634
##  [2875] 0.77947848 0.43219368 1.43876031 0.49711996 0.94135799 0.62471671
##  [2881] 0.99179199 0.32756538 0.72341625 0.34748254 0.69892443 0.66467049
##  [2887] 0.61019006 0.34933797 0.64766877 0.77675278 0.55208978 0.40090280
##  [2893] 1.08192649 0.67570690 1.60453242 1.47184382 0.53574204 1.08976826
##  [2899] 0.84286240 0.19941129 0.54230124 0.59685265 1.04736376 1.34162203
##  [2905] 0.84614779 0.42939398 0.66082561 0.99413630 1.94457267 1.80983059
##  [2911] 0.99999507 1.54890158 0.23237706 1.04922329 0.70305355 0.45602763
##  [2917] 0.59903132 0.79266565 1.60733971 0.26044329 0.55169683 1.64055901
##  [2923] 1.14592735 2.00643026 0.54821148 0.59611386 0.45356052 0.27747466
##  [2929] 0.58722863 1.33774483 1.48841384 0.94649152 0.52740183 0.63853497
##  [2935] 0.37209355 0.65124286 0.53850461 0.91250397 0.51935532 1.09166634
##  [2941] 0.72567766 0.39577124 0.57474059 1.03579566 1.11539148 0.85948504
##  [2947] 0.72385086 0.95123292 0.79518975 0.65223187 0.88926355 0.32365469
##  [2953] 0.70404581 1.78150642 0.75868093 1.10505783 0.55293356 0.81656517
##  [2959] 0.59630897 0.53192314 0.86973682 1.06003015 0.85507499 0.95384613
##  [2965] 0.68453295 1.58448154 0.37806265 0.54004111 0.70836107 0.35715190
##  [2971] 0.64965455 0.52258363 1.26212937 1.15485767 0.17617878 0.61765585
##  [2977] 0.74335629 0.23446441 1.55961192 0.37906484 0.85105208 0.92461522
##  [2983] 0.75122432 0.88669943 0.19176559 0.10928502 0.90483308 0.51793235
##  [2989] 1.11135613 0.32950689 1.04182162 0.75602811 1.37307391 0.66709580
##  [2995] 1.02181223 0.55134359 1.09005870 0.90490311 0.62288728 0.66983905
##  [3001] 1.02300039 0.42657329 0.31867080 0.49430820 0.90670983 1.25796482
##  [3007] 1.39217596 1.10130247 0.67334245 1.05676317 0.68798196 0.65357114
##  [3013] 0.39139497 0.57654773 0.59285189 0.81121323 0.53309207 0.79822668
##  [3019] 0.71379198 1.25845485 0.60993167 0.91852555 0.47195719 0.61577016
##  [3025] 0.55518767 1.19455527 0.72151617 0.62152645 0.93528557 0.70083732
##  [3031] 0.63087971 0.97745412 1.59566488 0.47562148 1.04383909 0.93195759
##  [3037] 0.53439464 1.41350573 0.46045010 0.56874449 0.41049569 0.55035934
##  [3043] 0.21356378 0.94382834 1.18163904 0.40985262 0.79492225 1.34816561
##  [3049] 1.45964344 0.93550766 0.88046771 0.59130161 0.94864323 0.42796558
##  [3055] 0.59285110 0.48241452 1.51960393 0.77709308 0.41491661 1.21212409
##  [3061] 0.76272131 0.30201204 0.43998179 0.87252772 2.23589514 0.45988459
##  [3067] 1.00620793 0.16729225 0.46766881 0.24775400 0.66724095 1.24603465
##  [3073] 1.32404819 2.35770242 0.72109572 0.39306516 1.16454043 0.52877315
##  [3079] 0.62532922 0.47469936 0.57156976 1.05206466 0.24472618 0.35363182
##  [3085] 1.21070270 0.46806897 1.33330148 0.74197977 1.24474460 0.43113946
##  [3091] 2.36944323 0.83806344 1.13445375 0.33400944 1.08176549 0.36389164
##  [3097] 0.98703388 0.48961719 0.26293556 0.64527381 0.63922104 0.33923151
##  [3103] 1.26072139 0.32660121 0.97065931 0.62756687 2.07461589 1.30064939
##  [3109] 0.39072399 0.49544102 0.71894629 0.81309627 0.28322050 0.62374302
##  [3115] 0.35200586 0.86654026 1.11326197 0.21023089 0.58136576 0.80281294
##  [3121] 1.52338615 1.12377432 1.36656155 0.72365933 0.42248040 0.83959788
##  [3127] 0.22799031 0.71104216 0.92193909 0.59250675 1.36436714 0.37272256
##  [3133] 0.61281808 1.28483646 0.39520494 0.42497436 0.85905726 0.22753751
##  [3139] 0.49615507 0.11846845 0.97538844 1.29011554 0.98578010 0.32394609
##  [3145] 0.24907762 0.33345395 0.49985222 1.25261924 0.48052408 0.58494816
##  [3151] 0.47213299 0.52702588 0.50772327 1.14724935 0.75291725 0.56289795
##  [3157] 0.65608044 0.58925704 0.39220891 0.60676049 0.87726884 0.46812476
##  [3163] 0.24186143 1.39208636 0.85591363 0.71417818 0.90953693 0.37228989
##  [3169] 0.29792463 0.42047378 0.36064984 0.36897773 1.27851396 0.69968997
##  [3175] 0.35828049 0.73268955 0.73409837 0.52795018 0.74822969 0.88443928
##  [3181] 0.45157961 1.12149700 0.36447246 1.09087633 0.93910034 0.57472025
##  [3187] 1.07712190 0.96219926 0.29867569 0.31134693 0.85601726 0.80253922
##  [3193] 0.34648687 0.67206081 0.67639562 0.45164418 0.65204163 0.64265734
##  [3199] 0.66275801 0.62354805 0.84640713 0.13731613 1.27345240 1.06427108
##  [3205] 0.85728060 0.32964002 0.65779908 1.16219608 1.00413516 0.27439392
##  [3211] 0.31923095 0.79312436 1.01234839 0.79738327 2.06399947 1.37186939
##  [3217] 0.50950449 0.49142384 0.75204683 0.79748344 0.80028985 1.02822864
##  [3223] 0.33342660 1.46493308 1.61272441 0.14902007 0.85544075 0.45731128
##  [3229] 0.93914015 0.37303186 0.67259801 0.92613850 0.67496893 0.97462895
##  [3235] 1.39892403 0.76202362 0.93066190 1.80232684 1.21524691 0.74867792
##  [3241] 0.28186315 1.11908597 0.82055713 0.58345372 1.23497239 0.40580441
##  [3247] 0.34538357 0.95457506 0.78692554 1.30025363 0.56215180 0.86478397
##  [3253] 0.70529021 0.67879286 0.63689479 0.35363460 0.21527604 0.52036229
##  [3259] 0.35302752 0.89490543 0.60595264 0.18402201 0.62779661 0.28846378
##  [3265] 0.93098472 1.52317937 0.94699712 0.56450400 0.71306308 1.66901637
##  [3271] 0.88165636 0.79278643 0.55227821 0.31929708 0.88993150 0.51085699
##  [3277] 1.09050574 0.52387413 0.37433764 0.53578450 1.61063511 1.49427459
##  [3283] 0.79990586 0.43567073 0.59324490 0.86941796 0.52552499 0.87521927
##  [3289] 0.89336131 0.25071869 0.56674378 0.28613401 0.47693226 0.78419147
##  [3295] 1.46699421 0.32007844 0.31717195 1.04175789 0.89800971 0.51503651
##  [3301] 1.15760532 0.77518308 1.01777538 1.11390159 0.34015479 1.79895202
##  [3307] 1.16821707 0.34541064 0.59734944 0.77031126 0.96434240 0.65284384
##  [3313] 0.34996367 0.79082895 0.62346586 0.79592289 0.91697036 0.58567823
##  [3319] 2.16249620 0.72442666 0.29473783 0.76795421 0.46569867 1.39905953
##  [3325] 0.29814837 0.76841946 0.99950458 0.60265400 0.41865649 0.61826364
##  [3331] 0.84782341 0.44136759 0.93227163 0.19802338 0.47488437 0.74723203
##  [3337] 1.07236219 0.94539943 2.43078128 1.47551846 1.11048704 1.19427440
##  [3343] 0.96480376 0.50258024 0.98695803 1.05662273 0.61953576 1.33994607
##  [3349] 0.49595895 0.38962324 0.70052840 0.49926509 1.72613549 0.56826239
##  [3355] 0.46990502 0.87520145 0.70018829 1.07904354 0.60082355 1.09329896
##  [3361] 1.63787672 0.93953803 0.50588234 0.47462282 0.90356142 0.80093671
##  [3367] 0.60486287 1.30905446 1.97176736 1.20515662 0.36734081 1.01229860
##  [3373] 0.44901252 0.76694864 1.21480246 0.52106132 1.17125805 0.54981665
##  [3379] 0.84533717 0.78094263 1.07751534 0.68896644 1.10529794 0.40748474
##  [3385] 1.39239423 0.67340104 0.37514683 0.65874001 0.31480890 0.38787908
##  [3391] 0.91079014 0.87675887 0.95550708 0.61602343 0.94694872 0.44676248
##  [3397] 0.61682837 0.42386688 0.56226313 0.22187501 0.56408741 1.56688475
##  [3403] 1.00445870 0.92358030 1.14863265 0.84861867 0.91883356 0.52125757
##  [3409] 0.44463419 0.95685561 1.22556106 0.46323278 0.55905417 0.20348511
##  [3415] 1.22956440 0.72486422 0.37510670 0.73412044 0.98989892 0.31284901
##  [3421] 0.46025190 0.48024015 1.02190433 0.53950238 0.47197434 1.04662610
##  [3427] 1.37520788 0.30110067 1.60466429 0.82013776 0.65831732 0.82762358
##  [3433] 0.48214280 0.17856013 1.85676783 0.07590817 0.74665105 1.45768587
##  [3439] 1.09882053 0.88837629 1.05125457 1.31400770 0.52018290 1.21846814
##  [3445] 1.03004041 0.44677518 0.27766342 0.91039472 0.40206406 0.57007818
##  [3451] 1.51595389 0.53579291 1.42372731 0.64733752 0.32550958 0.93789665
##  [3457] 0.68211315 0.25607192 0.35067733 0.78157718 0.60435461 1.44624108
##  [3463] 0.67831229 0.52785456 1.27891368 0.28867839 1.50432282 0.35215514
##  [3469] 0.63004745 0.39753021 1.13165778 0.60170197 1.19491080 0.54352615
##  [3475] 0.26654218 0.36129659 1.06568324 0.16637243 0.52869626 0.60174472
##  [3481] 0.94501125 1.38706363 1.01670873 0.19469387 0.42893712 0.53534105
##  [3487] 0.97789185 0.81330180 0.91786610 0.63571495 0.99220151 0.63800800
##  [3493] 0.54651184 1.18753738 1.39921037 0.89148987 0.58445384 1.23497937
##  [3499] 0.40345259 1.27782871 0.56606158 0.73846185 0.21597534 1.10271120
##  [3505] 0.85467757 1.01539701 0.51772577 0.81023739 0.59816313 0.66200559
##  [3511] 0.46405838 0.58431935 0.53327150 0.73701670 0.15063387 0.29802122
##  [3517] 0.48097469 0.12944966 0.56424899 1.32764703 1.87820033 0.39317687
##  [3523] 0.53417449 0.94871568 0.91316790 0.81357460 0.12794873 1.27152145
##  [3529] 0.67678819 0.82924690 1.42665973 0.61982981 0.50994620 0.62544327
##  [3535] 0.50489073 0.83218577 0.40163659 0.93606009 0.34645712 1.19675438
##  [3541] 1.51976799 1.26199255 0.59872836 0.51046302 0.64319710 2.36435145
##  [3547] 0.79255866 0.89250632 0.82168755 0.46817085 0.71671107 0.74329784
##  [3553] 1.43499838 1.01191622 0.60155346 0.53354642 0.83174044 1.12512544
##  [3559] 0.51847846 0.98426599 1.22552661 1.16184774 0.66442481 0.34677084
##  [3565] 0.69509531 0.41168006 0.83807057 0.45487114 0.35027119 0.83815964
##  [3571] 0.81873682 0.33543599 0.53263233 0.97551230 0.43704049 0.86708218
##  [3577] 1.19360498 0.73688322 0.56682801 0.65965553 0.55226269 1.13180771
##  [3583] 0.42161604 2.06881562 0.60818936 0.78310435 0.70662930 0.82319559
##  [3589] 1.05582820 0.54006090 0.97797419 0.58163295 1.08719838 1.16915927
##  [3595] 0.84289568 0.96990469 1.56902795 0.72700275 0.64664072 1.59987041
##  [3601] 1.69973187 0.73014663 0.40435558 1.53609464 0.43825181 0.76271885
##  [3607] 1.14042077 0.21484453 0.97521791 0.28944878 0.83758429 0.67040003
##  [3613] 0.76143279 0.57730279 0.94150768 0.87603705 0.55098980 1.58292768
##  [3619] 0.46777119 0.94135681 0.40227467 0.71265540 0.86514226 0.48437658
##  [3625] 0.30657725 0.52945377 1.36556933 1.29719343 0.57886826 0.46226841
##  [3631] 0.73032573 1.24284989 0.32090461 0.69759772 0.94153534 0.18721835
##  [3637] 0.26817165 1.55384463 0.48186521 0.63672494 1.44746789 0.92590151
##  [3643] 1.14616510 0.75182585 1.33997246 0.87684934 0.71351018 0.69531915
##  [3649] 0.53689842 1.05378739 0.79650473 1.00244247 0.63080981 0.75324308
##  [3655] 1.18514010 0.80193656 0.37131991 1.30972891 0.98854763 0.97671020
##  [3661] 1.39043198 1.05007529 1.05380521 0.68026053 0.64095299 1.46119202
##  [3667] 0.23773112 1.41334614 1.33768309 0.38388946 0.73204636 1.01124768
##  [3673] 0.80803550 1.09796142 1.50998694 0.84748922 1.46175109 0.83005395
##  [3679] 1.39784247 0.57552704 0.65420754 1.31863001 0.63566620 0.51381411
##  [3685] 0.41868079 0.56234526 0.38344142 1.11096276 0.65772044 0.57925579
##  [3691] 0.30426675 0.22660604 0.72046212 1.85701110 1.09094741 0.45991046
##  [3697] 1.75360844 0.95875759 0.37669586 0.77364645 1.42336042 0.21616433
##  [3703] 0.54219244 0.59105891 0.75624602 1.18323838 1.29947169 0.85370795
##  [3709] 0.63035742 0.61666983 0.33292060 0.52072292 1.12399835 1.19690762
##  [3715] 1.06140364 0.45631638 0.56520095 0.46033964 0.28256683 0.76713644
##  [3721] 0.41868048 1.39752136 0.96876340 1.18597446 0.92383254 0.54475504
##  [3727] 1.73215422 0.50825394 0.64241018 0.76349106 0.58409308 1.09599317
##  [3733] 0.56633192 0.29639953 0.91930513 0.62770599 0.65953032 1.08644336
##  [3739] 0.78219617 1.68592293 0.52937323 0.45846829 0.38909212 1.11304154
##  [3745] 0.75911732 0.48497400 0.58579582 0.40560823 0.39868242 0.62819349
##  [3751] 0.60939983 0.53056311 0.71745470 1.49818419 1.66932943 0.74113090
##  [3757] 0.56036441 0.53266821 0.66724927 0.35988296 0.41034151 0.95624499
##  [3763] 0.40743447 0.52535695 1.11057224 0.42574743 1.86347335 0.30567511
##  [3769] 0.54818053 1.19078495 0.63172991 0.44837330 0.97926386 0.62487450
##  [3775] 0.60923147 0.47692587 0.61000203 0.42069256 0.47480775 0.16802148
##  [3781] 0.38984828 2.27463142 0.25129803 0.37327257 0.81598636 0.42537073
##  [3787] 0.24852238 0.71617118 0.70260836 1.21441499 1.00021004 0.39129125
##  [3793] 0.87914022 2.07021949 1.13604887 0.94739865 0.54649568 0.26936698
##  [3799] 1.03295225 0.92329110 0.85627944 0.76242378 0.48195203 1.41800292
##  [3805] 0.96161817 0.42299846 0.85254519 0.57856052 1.16729079 0.40399951
##  [3811] 0.14454687 0.21210878 2.11489569 0.74439976 0.68273759 0.90627065
##  [3817] 0.50056120 2.02837249 0.24755717 0.33965275 0.30000985 1.36345997
##  [3823] 1.09398068 0.32580667 0.45641628 2.01003870 0.21019656 0.91547194
##  [3829] 0.82454812 0.86177394 0.65895669 0.92967727 1.11110640 0.43718007
##  [3835] 1.13981157 0.15653632 0.74481157 0.65893657 0.95004960 1.36552141
##  [3841] 1.15554777 0.49783632 0.87373127 1.27410202 0.69280048 1.13842710
##  [3847] 0.74197536 0.72553842 1.17452770 0.26327646 0.84394838 1.47994620
##  [3853] 0.36338017 1.20334636 0.89717165 0.44646499 0.90983875 1.02935600
##  [3859] 0.48844749 0.14874595 1.00609162 0.73877093 1.11454259 1.24187976
##  [3865] 0.52943319 0.47303236 0.32006156 0.19649562 0.31735479 1.33325870
##  [3871] 1.23450608 0.27029505 1.50515725 0.23895212 1.65282201 0.38520036
##  [3877] 1.04986617 0.82202538 1.19382652 1.83975735 0.51768689 0.48855980
##  [3883] 1.13109113 0.22282016 0.74679447 0.80124837 0.46570573 0.97590295
##  [3889] 0.86094753 0.76079167 0.56549789 1.31915138 0.61573675 0.56249826
##  [3895] 0.92170165 0.57064056 0.59207341 1.26786413 0.86164497 0.70766289
##  [3901] 0.93777008 1.07154604 0.34448703 0.74898897 0.62168378 0.84901487
##  [3907] 0.28833887 0.46111134 0.42979548 0.58106558 0.97569949 1.18678850
##  [3913] 0.46029483 0.55005522 1.34834039 0.81064803 0.67385734 1.65422276
##  [3919] 0.32177354 0.18510634 0.35314979 0.43330624 0.57857512 0.51981905
##  [3925] 1.76779610 0.68222554 0.97882981 1.41555022 1.08884792 1.74311986
##  [3931] 0.16267855 0.95026041 0.65158870 0.24134948 1.23999948 0.99843602
##  [3937] 0.79219533 1.48894309 0.32308390 1.51251062 0.53308067 1.15378814
##  [3943] 0.81156811 0.90348332 0.83912298 0.60476334 0.42187730 0.79716140
##  [3949] 0.84973964 0.45665236 0.94657382 0.72685508 0.87733441 0.71089823
##  [3955] 0.49634695 1.19038358 0.98843318 1.29977053 1.29343789 0.80784355
##  [3961] 0.33222456 0.96751373 1.19064485 0.35778209 1.23120869 0.81480536
##  [3967] 0.37238276 1.25920881 0.45424469 0.71401554 0.84480655 0.61087426
##  [3973] 1.35530467 0.40409506 0.70428328 0.30607264 1.04195012 0.51516749
##  [3979] 1.31495837 0.26752479 0.79887164 0.44730413 1.50723945 0.75962159
##  [3985] 0.61742425 0.55981073 0.30791292 1.34427197 0.61174324 1.34582358
##  [3991] 0.75318057 0.63751038 0.75606474 0.46459232 0.33358277 1.52694895
##  [3997] 0.19288962 0.26864712 0.23800173 1.11373492 1.19751419 0.52815792
##  [4003] 0.54639979 1.58519589 0.66561283 0.19580801 1.02561296 0.40167456
##  [4009] 0.60325549 0.83121243 0.38183190 0.51689484 1.45722378 0.80356140
##  [4015] 1.42613826 0.55008992 1.42948884 1.21750287 0.73770875 0.91180107
##  [4021] 0.86328483 1.13508632 0.46879368 0.49454938 0.59133878 0.81861149
##  [4027] 0.41202155 0.89574356 0.72300303 0.94627306 0.78652140 0.55020163
##  [4033] 0.49694769 0.60393617 1.26502046 1.21781418 0.37225797 1.07802020
##  [4039] 0.31739054 0.57138988 0.60326795 0.44223351 0.33703839 0.27035076
##  [4045] 0.47541069 0.84928445 0.36468970 1.12304341 0.27235697 1.40197483
##  [4051] 0.56989880 1.54495182 0.67100543 0.88756443 0.23749426 0.73584761
##  [4057] 0.76894122 0.34166540 0.33920264 1.20056096 1.03759867 0.29773012
##  [4063] 0.45425363 1.50367693 1.20432836 0.94939641 1.34981773 1.37236883
##  [4069] 0.07215424 0.72603468 0.82805195 1.33913807 0.31084442 0.72712998
##  [4075] 0.59814322 0.60760157 0.99734627 0.92565564 0.90445985 1.19581592
##  [4081] 1.25959295 0.81179870 1.07474670 0.44967051 1.82353055 1.16440304
##  [4087] 0.51841961 1.04356890 0.68520216 0.74599353 0.28952490 0.32153306
##  [4093] 1.46326737 0.91569320 0.80641162 0.85632591 0.52492632 0.60589249
##  [4099] 0.64575689 0.91404954 0.79813169 0.62248985 0.33559753 1.72720826
##  [4105] 0.41271590 0.56196048 0.43193634 0.86122635 0.86222033 0.85820332
##  [4111] 0.28812885 0.66822827 0.96938404 0.83073140 0.30352737 1.29174521
##  [4117] 0.67641056 1.51862658 0.42061041 0.26345739 0.20854719 0.67419768
##  [4123] 2.18697909 0.35924132 1.04588148 0.34325462 1.05032666 0.17871889
##  [4129] 1.29721440 0.76799783 0.90626177 0.87904139 0.64473179 1.58228267
##  [4135] 0.60533416 0.19953842 0.42538415 0.82062225 0.48713759 1.31642201
##  [4141] 1.02590413 1.69882517 0.53249423 2.15352268 0.27942808 0.87908648
##  [4147] 1.44452414 1.30977039 0.20884184 0.72455525 0.66142760 0.95278509
##  [4153] 0.42270087 0.37150466 0.81792426 0.46930279 0.63644997 0.04834854
##  [4159] 0.75417900 0.52376797 0.80604223 0.67358859 0.75971005 0.76030103
##  [4165] 0.72684707 0.66632341 0.12750886 0.95569594 0.71841841 1.11818385
##  [4171] 1.11269108 0.99919274 1.91159982 1.06791219 0.89480671 0.88614104
##  [4177] 0.70565600 1.24756403 0.49135208 0.95404557 0.70785339 0.41204215
##  [4183] 1.07065108 0.49746526 0.70546259 0.96974268 1.50593166 0.70169492
##  [4189] 0.62961842 1.21641076 0.89466781 0.44654487 0.22915726 1.24105637
##  [4195] 0.55138486 0.29953584 0.99142370 0.95326815 1.46630092 0.96018338
##  [4201] 0.26251276 1.83551510 2.73223267 0.60399331 0.53451493 1.24613500
##  [4207] 0.77865449 0.94738342 0.99908969 0.18707940 0.85474768 0.73406646
##  [4213] 0.75666884 0.55100512 1.18706997 1.36070129 0.90932694 0.49402520
##  [4219] 0.57393774 0.74449038 0.54439892 0.40242563 1.29482472 0.56262513
##  [4225] 0.86240853 0.73807646 1.44397609 0.71321863 0.22784774 1.13142683
##  [4231] 0.54527046 0.70304770 1.02828722 0.22944460 0.96858303 0.79315546
##  [4237] 0.93575176 1.21283277 1.58653612 0.40014501 0.75578838 0.83985474
##  [4243] 0.84581350 0.23010061 0.61333865 0.22598907 0.38391872 0.67301753
##  [4249] 0.79641210 0.91899823 0.42505599 0.32833639 0.72615969 0.56161552
##  [4255] 1.03192805 2.13541283 0.48757956 0.90020511 1.28177052 1.27965367
##  [4261] 1.12843485 0.97676415 1.31948503 0.69470989 1.00641467 0.84337690
##  [4267] 1.06565235 0.62641143 0.87464510 0.08042260 0.73098569 0.28964586
##  [4273] 1.24096308 0.19616402 0.64798134 1.20648612 0.42486942 0.90918732
##  [4279] 0.36982320 0.45425451 0.40569940 0.64106728 0.90056764 1.73273728
##  [4285] 1.22995382 0.80827461 0.82012272 0.81018281 0.64751005 0.31855201
##  [4291] 0.63791796 0.58592898 1.26486215 0.94069045 2.38810945 0.65261026
##  [4297] 0.50616945 0.54824069 0.70923929 1.02802778 0.40638372 0.59322025
##  [4303] 1.06514802 0.63809145 0.69010016 0.69353008 0.81592608 0.70917037
##  [4309] 1.29965742 1.28294304 1.01369498 0.79996760 0.34870500 0.76046045
##  [4315] 1.11235937 0.90887496 0.77286931 2.69059046 0.62177453 0.98184695
##  [4321] 1.49731648 2.33158814 0.23534175 0.45340953 0.42789099 0.76624733
##  [4327] 1.00635628 1.42146060 1.07596738 0.70648351 1.11295083 0.50958175
##  [4333] 1.01467198 0.16872541 1.00847867 1.11806507 0.85585845 0.95035113
##  [4339] 0.37288465 0.84769555 0.80339916 0.67436002 1.19725939 0.51686183
##  [4345] 0.37717946 1.55429580 0.49635471 0.73564642 0.79502490 0.50184717
##  [4351] 1.30785909 1.65291356 0.79888734 0.73117947 0.72864990 0.65875215
##  [4357] 0.99854091 0.59010346 0.68725852 1.03455051 0.55914328 0.48755112
##  [4363] 0.67480906 0.66312883 0.66179782 2.02241883 0.94404582 2.18240877
##  [4369] 0.17283356 0.48009777 0.57262361 0.57982177 0.55007436 1.16462801
##  [4375] 1.85176043 1.81984853 1.15551084 0.23473167 0.72676449 1.03152687
##  [4381] 0.62365960 0.40156982 0.76852459 0.56504597 0.77119782 0.61056088
##  [4387] 0.24657620 1.18550940 1.26046758 0.58239662 0.42308767 0.60295417
##  [4393] 1.28899719 0.54206934 1.00853221 0.65905518 0.84663216 0.74255638
##  [4399] 0.53598165 0.93331890 0.69199267 0.63523422 0.78055689 0.29891119
##  [4405] 1.07103810 0.57606182 1.21495914 0.38182895 2.27674247 1.08178466
##  [4411] 0.76887279 0.54174503 1.33732324 0.74539065 1.12132782 0.73317850
##  [4417] 0.74977441 1.10582045 0.85803485 0.78366235 1.18504066 0.22716243
##  [4423] 0.51393027 0.29690575 0.83417121 0.34784334 0.74756855 0.42594391
##  [4429] 1.50325530 0.67255544 0.53630545 0.34842598 1.24944264 1.07361243
##  [4435] 0.77657662 0.72765076 0.70574884 0.46885772 1.08551175 0.58883256
##  [4441] 0.62659690 0.94027479 0.91289453 0.35796205 0.91916130 0.40517503
##  [4447] 0.56004081 0.62149843 0.66705921 1.37644542 1.74220528 0.72332307
##  [4453] 0.48763294 0.32883536 0.84846280 0.52368150 1.42600587 1.20722079
##  [4459] 0.64415227 0.70707115 0.67302491 1.06247177 1.63596014 1.64190862
##  [4465] 0.40931630 0.57746587 0.52381561 0.55949370 0.96416097 0.97524317
##  [4471] 1.01296741 0.97153276 0.61364754 1.34340676 0.68483013 1.80529309
##  [4477] 0.82482185 0.82726593 0.60015532 0.96320247 0.51717752 0.38789471
##  [4483] 1.03828370 0.53017804 0.75811016 0.44032222 1.35818790 0.59494341
##  [4489] 1.16031861 1.16726815 0.81201039 0.55427659 0.63358985 0.93697036
##  [4495] 0.75462831 0.86277090 0.91147363 0.56406491 0.21657383 0.75086888
##  [4501] 0.65247053 2.13767498 1.16337551 0.55055638 0.32502499 0.30392728
##  [4507] 0.86646037 0.46029561 0.48941659 0.27847569 1.05764396 0.52356958
##  [4513] 1.36354274 0.63693252 0.56679583 0.35979708 0.26798034 0.56653790
##  [4519] 0.69898584 0.46803455 0.45029979 0.69948142 1.17898481 0.58744978
##  [4525] 1.65753084 0.53377295 0.51869179 0.71160514 0.60862637 0.31655069
##  [4531] 1.53543812 0.35301170 1.60339870 0.82628248 0.82408323 0.70815213
##  [4537] 0.19390768 0.85126450 1.17978764 1.33350183 1.08832206 0.93981725
##  [4543] 0.78121328 1.06310444 0.50242290 0.92012063 0.83213167 0.99598529
##  [4549] 1.09538150 0.61975140 0.59418286 0.77537247 0.94779997 0.21799407
##  [4555] 0.97091592 0.56303814 0.76402578 0.85086663 0.63472295 0.51208211
##  [4561] 0.94798829 0.60144684 2.23375423 0.75584466 0.99097408 2.40924134
##  [4567] 0.54492291 0.70757866 0.70416863 0.65726178 1.00152446 0.55622080
##  [4573] 1.11820568 1.29669424 0.36678053 2.27113986 0.33877794 0.43995682
##  [4579] 0.17279034 1.80503226 0.62799495 0.79015351 0.96705949 0.90646928
##  [4585] 1.04140926 0.68879425 1.46603454 0.94726695 0.49340282 1.20634102
##  [4591] 1.57922767 0.51947956 0.75904174 0.38651354 2.05399396 0.53115686
##  [4597] 0.50272371 1.64536447 0.85202308 1.10618191 0.52051683 0.58063317
##  [4603] 0.63295690 0.40405761 0.45670239 1.53726825 0.91308186 1.66063497
##  [4609] 0.70236041 0.69248825 0.56499499 0.47956908 0.49520961 0.35724470
##  [4615] 1.21592266 0.85951530 0.88957840 1.01916492 1.11794944 0.98241972
##  [4621] 0.60199379 0.47467233 0.88269201 0.60524104 0.73445334 0.46877929
##  [4627] 0.52782791 0.30222433 0.72452449 1.00631010 0.50241765 1.21535458
##  [4633] 1.03035855 1.04526009 0.95726641 1.62854384 0.80131926 0.55620591
##  [4639] 1.07043916 0.47391901 1.20813002 0.88860303 1.05209756 2.02141974
##  [4645] 0.66105121 0.59582542 1.02688379 0.53788322 0.61230420 0.70545882
##  [4651] 1.41542279 0.44401118 0.85779250 0.26308370 0.80973945 0.77348577
##  [4657] 0.38213149 1.00201938 0.92155704 0.26315793 0.42422855 0.25738317
##  [4663] 1.98203951 0.27879190 0.71136384 1.52999472 0.95729516 1.08330442
##  [4669] 1.30558076 0.73610412 1.49566516 1.42460574 0.21924230 0.55903429
##  [4675] 1.01117489 2.10076229 0.85235238 0.92133320 1.09833884 0.31164883
##  [4681] 0.56897208 0.13623219 0.51400870 0.44961546 0.50288565 0.81177866
##  [4687] 0.30595689 1.33351467 0.33818099 0.66384448 1.02925007 1.53848004
##  [4693] 0.56945121 0.78106631 1.46821539 1.34111231 0.35358351 0.62991777
##  [4699] 1.05041293 1.31777705 0.68410762 0.77101113 0.84960296 0.67454902
##  [4705] 0.58010474 0.67490333 0.77367395 1.29474389 0.73615428 0.64866257
##  [4711] 0.61619657 0.37000634 0.71071179 0.87919334 0.61986375 0.61876896
##  [4717] 0.69045578 0.94456439 0.75009828 1.20846871 0.65254347 0.48426671
##  [4723] 0.83558848 0.97183170 1.29562739 0.58267118 0.49114250 0.27522918
##  [4729] 1.12791464 1.12704158 0.58045424 1.42382242 0.80029781 1.16879701
##  [4735] 0.83873101 0.45962167 0.35427821 0.24649852 0.23294593 1.98538092
##  [4741] 1.05344701 1.10250741 0.39277424 1.08026176 0.42622790 1.24866919
##  [4747] 0.34445190 0.86312421 0.69416489 0.78754434 0.47734109 1.53660225
##  [4753] 0.95640217 0.75055902 1.08400466 0.41080337 0.71526955 0.05732272
##  [4759] 0.50297429 0.46665241 1.03740407 0.72955686 1.12803977 1.66211914
##  [4765] 1.18879539 0.31642162 0.21828496 0.59806984 1.31524315 0.78087039
##  [4771] 0.61252887 0.61863094 0.38741143 0.15573211 0.96798737 0.75197883
##  [4777] 0.37335584 0.50557921 0.81088387 0.90602126 0.30991736 1.00431690
##  [4783] 0.28894094 0.27605854 1.68945250 0.49686588 0.38740089 0.69525577
##  [4789] 0.36189836 1.11367722 1.29812509 0.73611753 0.39113960 0.58455037
##  [4795] 0.84176570 0.88301969 0.91139844 0.74364682 1.08788715 1.83542375
##  [4801] 1.52473220 0.96955380 0.64160007 1.27875075 0.45185887 0.42298909
##  [4807] 0.43756383 1.15818382 0.77436275 0.23775736 0.48228825 0.54736763
##  [4813] 0.70330480 0.46768571 1.04127389 0.77932305 0.42772309 0.55079944
##  [4819] 0.51983070 0.36434915 0.54162114 0.20311336 0.56681740 0.55011920
##  [4825] 0.58628368 0.35849522 0.14126566 0.65196405 0.85548326 1.47577562
##  [4831] 0.50832260 1.02438774 0.62801947 1.47704484 1.10712726 0.80104364
##  [4837] 0.73878823 1.21072236 1.16670500 0.20665063 0.89100840 1.17857174
##  [4843] 0.49655959 0.51200801 0.92663965 1.17831513 0.36227071 0.20773781
##  [4849] 1.83324910 0.38961420 0.60005733 1.25485849 1.36923375 1.37997024
##  [4855] 2.14813787 0.41354223 0.53407901 0.24791961 1.32720180 0.27352964
##  [4861] 0.83024030 0.57001838 0.84906075 0.35560297 1.63454230 0.97604427
##  [4867] 0.37998450 1.27150720 0.56574374 0.32408761 0.93109127 0.56962091
##  [4873] 1.01424144 0.49085544 0.29022154 1.11447439 1.15380483 0.28521432
##  [4879] 0.52377921 0.46836939 0.45728851 0.91472475 0.81828562 1.09892447
##  [4885] 0.88326494 0.69683435 0.67964424 0.19389307 0.31539457 0.71681008
##  [4891] 0.61576418 0.86197757 0.68143684 0.81395523 0.37697627 1.02955011
##  [4897] 1.27584232 1.83002274 0.29390628 0.65693870 1.20394685 1.48355207
##  [4903] 0.74076665 1.18415054 1.20129248 0.83828104 1.08561420 0.41052841
##  [4909] 0.45822347 0.50282746 0.74784446 0.97284511 0.77663170 0.56923599
##  [4915] 1.05405284 0.54424816 1.27095852 0.97974033 0.86510523 0.59361230
##  [4921] 0.57130677 0.61000137 0.93016354 0.57870359 0.68694295 0.44854889
##  [4927] 1.03575851 0.50393422 1.25438757 0.73422294 1.30449074 0.82084752
##  [4933] 1.24843437 0.57102258 0.48025726 1.07935519 0.50672786 1.37650511
##  [4939] 0.24524126 0.99338428 0.31400874 0.89744860 0.70746077 1.28867774
##  [4945] 0.98674547 0.75294514 1.49295941 0.61555157 0.46721432 0.21573526
##  [4951] 0.41980782 0.60530140 0.19494096 1.01441805 0.40338977 1.26656250
##  [4957] 0.25460879 0.75754200 0.63693378 0.69613494 1.72027321 0.68226413
##  [4963] 1.77889877 1.38025347 0.31267615 0.42640397 0.39126977 0.46311438
##  [4969] 0.68464590 0.47285267 1.10413724 0.29433622 0.58789881 0.63783301
##  [4975] 1.09741902 0.14263227 0.65818446 0.67272105 0.78256463 0.78753231
##  [4981] 0.58955726 1.54506773 1.52161500 0.70425455 1.52346022 0.57214602
##  [4987] 0.95165304 1.86240414 0.39016379 1.17577760 0.64462191 1.79831535
##  [4993] 0.60784585 1.20075897 0.92602520 0.52388609 0.69757068 0.87525023
##  [4999] 0.56167972 0.96381570 1.34633849 0.89432206 0.73781626 0.65364237
##  [5005] 0.65260225 0.85402278 1.42188783 0.62989600 0.68544040 0.43205944
##  [5011] 0.48335830 1.13521405 0.88198106 0.60406792 0.70471907 0.34174962
##  [5017] 0.74927214 1.20471257 0.73438038 0.46771778 0.43564141 1.06742060
##  [5023] 0.34401482 1.12159577 1.24521027 0.67896747 0.88674902 0.54488775
##  [5029] 0.52684034 0.36857122 1.31220492 1.48274816 2.43003833 0.64147502
##  [5035] 0.61665809 0.42036932 1.20863256 0.80435420 1.05758884 0.54214578
##  [5041] 1.40265545 1.04216591 0.25750002 0.61346854 0.58163291 0.23238591
##  [5047] 1.36356028 1.14657349 0.90922769 0.22406497 0.76280065 0.46555566
##  [5053] 0.15911516 0.41892414 1.09005819 0.50160830 1.43487521 1.12457516
##  [5059] 1.56922615 1.45051519 1.12780466 0.99938765 0.89619556 1.22871201
##  [5065] 1.13299780 1.06892710 1.57640152 1.19207040 0.57730528 0.16619926
##  [5071] 0.15279802 0.54813515 0.87752001 0.59330910 0.35294342 0.37546310
##  [5077] 1.33829864 1.32102544 0.34336066 0.42877564 0.46710940 1.54625860
##  [5083] 0.71029807 0.72140643 0.92652142 0.55614841 0.27676351 0.42944912
##  [5089] 1.11716059 0.78471527 0.44087038 0.63952428 0.94849533 0.83142301
##  [5095] 1.02508265 0.73764870 1.32700706 0.64830282 0.73629181 0.38120700
##  [5101] 0.56378026 0.67224606 0.42004333 0.70016727 1.25467713 0.46285155
##  [5107] 0.32280446 1.76601135 0.36187758 0.60856032 1.04536050 0.44272374
##  [5113] 0.65784222 0.44289478 0.41322292 0.68299138 0.57078879 1.69998633
##  [5119] 1.29785350 0.48139346 1.38133503 0.62789549 1.02137021 0.35602376
##  [5125] 1.23252675 0.62448716 0.59140170 0.12391457 0.57071539 0.75468934
##  [5131] 0.39931285 0.77741364 0.66994841 0.64833281 0.92146599 0.53644794
##  [5137] 0.40139073 0.19709484 0.55361809 0.59590050 1.17561362 0.75321663
##  [5143] 0.35117208 0.70803242 0.53897796 0.78361644 0.40024077 0.57706559
##  [5149] 1.23092506 0.87824135 0.51886594 0.07048588 0.21700579 0.29972747
##  [5155] 0.44764630 0.82692502 0.90878127 0.63641937 0.47505329 0.66042772
##  [5161] 0.77817209 1.00724911 1.60532748 0.29237753 0.21658350 0.49722619
##  [5167] 0.59141325 0.89839678 0.57714679 0.61440562 0.27288256 0.82372011
##  [5173] 0.84054196 0.74861786 1.12909147 0.48803725 0.71123952 0.98889357
##  [5179] 1.03540155 0.87180748 1.02955282 1.63068915 0.36589260 1.06174304
##  [5185] 0.57892940 0.47321362 0.42343686 0.76492660 0.48041660 1.24799494
##  [5191] 0.36154726 1.18033887 0.57696325 0.87630664 0.33649160 0.50336741
##  [5197] 0.81002204 1.10684041 1.32892836 0.69767192 0.57202040 0.30132216
##  [5203] 0.88670273 1.29372433 0.57828357 1.13585137 1.03978079 0.44826381
##  [5209] 0.90547595 0.48936925 0.65650738 0.94368255 1.53228484 1.05209285
##  [5215] 0.80768744 0.59522073 0.52793930 0.81178915 0.94673667 1.18784625
##  [5221] 1.77911377 1.00028879 0.68567383 0.91637744 0.30166129 1.35904518
##  [5227] 1.78699410 1.14991214 0.82746541 0.88856431 1.04617894 2.15068244
##  [5233] 0.66773553 1.24019894 0.79346742 0.86340855 1.22086289 2.12526486
##  [5239] 0.59371548 0.31045723 0.45458452 0.90446801 0.43898598 0.46100612
##  [5245] 0.83537093 0.77631207 0.36672275 0.74995544 0.56464332 0.54418537
##  [5251] 0.92629018 0.40317212 0.51437593 0.37021195 0.28328963 1.04139424
##  [5257] 0.90031414 1.27581824 0.23437585 0.43169265 0.56076510 0.63268403
##  [5263] 0.81877581 0.51093703 1.15180576 0.15545739 0.93423334 0.69334000
##  [5269] 0.42564725 1.25782399 1.32885794 0.40835964 1.40357216 1.44339259
##  [5275] 0.46514651 0.63727477 0.82122815 1.60612325 0.23700072 0.40924532
##  [5281] 0.32853834 0.38250034 0.83547081 0.40065658 0.24093384 0.32794378
##  [5287] 2.06184894 1.33829469 0.79131298 1.12372243 0.69538762 1.61374152
##  [5293] 0.14438293 0.26767082 0.64226537 1.04938529 0.56100807 0.67040547
##  [5299] 0.46224642 0.44061088 0.41158198 0.22524593 1.45576333 0.63063667
##  [5305] 0.44961088 1.13838300 0.26504194 1.13520070 1.04345760 0.81186557
##  [5311] 0.54635582 0.75241587 0.56128387 0.23292906 0.92491735 1.14376038
##  [5317] 0.51606897 0.55900956 0.90696627 1.05415508 0.32436073 0.17553007
##  [5323] 1.20168265 0.78915293 0.70040778 0.52063494 0.47353588 0.46222251
##  [5329] 0.39116671 0.42820756 0.54112008 0.75130337 0.66302391 0.91254516
##  [5335] 0.48000365 0.51301265 0.55824315 0.37981036 0.58054007 0.42772260
##  [5341] 0.82380408 0.25779285 0.80446211 0.56309103 0.19715796 0.98957956
##  [5347] 0.61243939 0.28359875 0.50768596 0.48924107 0.67241273 0.48666828
##  [5353] 0.47265989 0.90763042 0.67895084 0.92954953 1.22163109 1.38438470
##  [5359] 0.96079214 0.94491983 0.78635626 1.40683640 0.53900610 1.47452882
##  [5365] 0.53138676 0.24197917 0.90919971 1.08230046 1.60937741 0.48018317
##  [5371] 0.82405613 0.48112800 0.27743883 0.47851919 0.58296927 1.93189137
##  [5377] 0.58859345 0.68082438 0.70294081 0.72416386 0.84148529 0.72830486
##  [5383] 0.12798244 0.51594319 1.10626054 0.66816344 0.85584748 0.20655647
##  [5389] 0.78821645 0.97605369 0.54729278 1.60578315 0.50906878 0.85193698
##  [5395] 0.88318466 0.53998090 0.42042925 0.81966309 0.82143967 0.25962652
##  [5401] 0.52529451 0.30992775 0.45350466 0.41032942 0.72451463 0.39344102
##  [5407] 1.33532312 0.94255669 1.10606668 1.88664612 0.30619789 1.13979969
##  [5413] 0.48083766 1.13149519 0.56604404 0.47663458 0.42553693 0.33567566
##  [5419] 1.10236948 1.24845962 0.87745261 0.98607413 0.83886267 0.41736659
##  [5425] 0.70842032 0.75196241 0.50251250 1.05165836 0.93726069 0.63925509
##  [5431] 0.70802197 0.94600934 0.54202345 0.18583935 1.21660168 1.30956784
##  [5437] 0.26568143 0.54621302 0.85335094 0.86722136 0.26760609 0.67856725
##  [5443] 0.49505718 0.45648508 1.35208726 0.82851238 0.47561310 0.85376471
##  [5449] 0.59117080 0.95375847 0.58191760 0.57812320 1.26635351 1.07854293
##  [5455] 0.58814366 0.74767795 0.73044240 0.45884797 0.80520942 0.31220029
##  [5461] 0.93512596 0.26446848 1.21718367 0.46181674 0.14790114 2.00832815
##  [5467] 0.66839999 1.14091779 1.24185108 0.98576893 0.99929957 0.90681840
##  [5473] 1.30143356 0.34772930 0.98574288 0.32511941 0.87035007 0.54503908
##  [5479] 0.54405126 0.37868028 0.64766377 1.06840008 0.33705336 0.44299667
##  [5485] 0.56924438 0.65009231 1.08459374 0.40277701 1.16951338 0.60060312
##  [5491] 0.22616027 0.39328561 0.99168143 0.53697752 0.85423365 0.42039167
##  [5497] 0.46884609 0.61750913 0.81336906 0.46188066 0.45406240 0.91228452
##  [5503] 0.58691338 1.05293754 0.66155028 0.32216139 0.40570496 0.66568369
##  [5509] 0.41013267 1.68755130 0.63921237 0.53767171 1.10268397 1.08525296
##  [5515] 1.18086403 0.61456558 0.64888840 0.86411688 0.76426415 1.32895395
##  [5521] 0.83340465 1.29967562 0.55423102 0.51954400 1.27551783 0.21420882
##  [5527] 0.18919155 1.36150144 0.62201371 0.59931980 0.34856412 1.19337317
##  [5533] 0.66999470 0.45206626 0.61366132 0.37540286 0.85926861 0.66623939
##  [5539] 0.68836890 0.72087964 0.39548044 2.01804953 0.26378852 0.70291230
##  [5545] 1.37226807 0.24956306 0.60877664 0.36655607 0.32978490 0.40044566
##  [5551] 1.42237453 0.85234675 1.26919594 0.86420486 1.35195339 0.57990306
##  [5557] 1.82806962 0.49937645 0.70877749 2.02085531 0.65377976 1.00500124
##  [5563] 1.22254583 0.33982719 1.52492364 0.97301201 0.68921501 0.52443447
##  [5569] 0.62051057 1.32450383 0.44813705 2.60731774 1.12854206 0.55596475
##  [5575] 0.22493228 0.93454709 1.01579175 1.41118300 0.71992284 0.79234616
##  [5581] 0.52789895 0.51541510 0.29466356 0.67496564 0.49097485 0.46732191
##  [5587] 1.67437489 0.91168285 0.30466755 1.13314364 0.07687074 0.81265543
##  [5593] 1.22823368 0.48343501 0.96621934 0.26090596 0.96799025 0.17311738
##  [5599] 0.73707775 1.14873355 0.23650590 0.64898938 0.68922542 0.72434884
##  [5605] 0.68015122 1.16607289 0.90856269 0.58677727 1.48608149 0.69117556
##  [5611] 0.32884280 0.80583797 0.98531735 0.47535124 0.49305560 0.61873561
##  [5617] 1.34917796 2.16421478 0.47561120 1.26213797 0.45560263 1.18906219
##  [5623] 1.22435894 1.24599555 1.41653571 0.47194633 0.40588441 0.43232428
##  [5629] 1.42924806 1.05201987 0.91834556 0.62626003 0.24183573 1.96935807
##  [5635] 0.49602628 0.96195514 0.82979026 1.00447220 0.94799033 0.42759160
##  [5641] 0.47773831 0.32347923 0.68773318 0.64929579 0.37348063 1.15670024
##  [5647] 0.80438626 0.49899177 0.95215076 0.92635258 0.32408053 0.81307991
##  [5653] 0.74710877 0.56461752 0.89725650 0.42771359 1.55998811 1.09961781
##  [5659] 1.36495055 0.39674851 1.41701279 0.48660826 0.45983634 0.96958282
##  [5665] 1.57591761 0.77481118 1.92871113 0.77974678 1.72530324 0.64704397
##  [5671] 0.88590570 0.42878787 1.12908792 1.35468898 0.83832924 0.55082079
##  [5677] 0.24158934 0.86607122 0.50470951 0.95980900 0.82431697 1.30736135
##  [5683] 0.90847582 0.82506832 0.31874723 0.77290982 0.39787374 0.76118180
##  [5689] 0.16679318 0.24373885 0.99789544 0.37910841 0.98895333 0.36962215
##  [5695] 0.62400279 0.44226472 1.01886039 0.59543710 1.12650749 0.90941621
##  [5701] 0.87590032 0.87829526 0.89640555 0.68033930 0.47033278 0.52080332
##  [5707] 0.88620811 0.46046866 0.47712490 0.56204881 0.18687417 0.43677686
##  [5713] 0.89455851 1.27468969 0.70474822 0.85913804 0.18546885 1.45821619
##  [5719] 0.74405326 0.79779155 1.54624803 0.92580034 0.62890499 0.45617937
##  [5725] 0.97480514 0.35857833 0.45371712 0.97281471 0.65439218 0.86794787
##  [5731] 0.95173607 0.52258218 1.04743030 0.12433196 0.80853817 1.04953557
##  [5737] 0.92105134 1.29575575 1.19975750 1.04648872 0.68015649 0.28880362
##  [5743] 1.46110527 0.50534063 0.48520947 0.82135710 0.56044398 1.66583875
##  [5749] 0.38423879 0.31475206 1.54115049 0.80725710 1.35484893 0.62358098
##  [5755] 1.57164746 1.02151519 0.89316545 1.53767219 0.75804436 0.55286962
##  [5761] 0.16290228 0.66314060 0.37233041 0.82307820 1.51598441 0.56398315
##  [5767] 0.40960324 0.35690301 0.29623738 1.31433439 1.57374816 1.03084873
##  [5773] 0.81157865 0.23424340 0.65966955 1.05070681 0.32050172 0.59470742
##  [5779] 0.86465575 1.28174302 0.59742031 1.65160367 0.87408353 0.34674487
##  [5785] 1.53329343 0.42223551 0.36632273 0.79853139 0.59110392 0.89136186
##  [5791] 0.89364671 1.07840805 0.81675307 1.22510921 0.31780549 0.94802037
##  [5797] 2.01872946 0.57052436 0.82863307 0.57634264 0.55594403 1.62989892
##  [5803] 0.44114976 0.39710880 0.65716414 0.83155827 0.58805080 0.72562111
##  [5809] 0.18339447 1.28521404 1.24718964 0.74612564 0.37443252 0.92440607
##  [5815] 0.55867437 1.09002134 0.65360987 0.96915382 0.23587693 1.30775175
##  [5821] 0.54723906 0.51597882 1.07366325 0.29283784 0.60153840 1.22930554
##  [5827] 0.45803464 0.75132219 0.16627096 0.91071368 1.26613350 1.30671423
##  [5833] 1.66578393 0.76651188 2.40672194 0.52067923 0.73509055 1.12588685
##  [5839] 1.04784215 0.38444301 0.55759258 0.75160046 1.40473998 0.62724831
##  [5845] 0.97676800 0.62548827 0.65190506 1.00107769 0.37367463 0.50922086
##  [5851] 0.96899212 1.40910533 0.94474876 0.46809077 0.48666197 0.15281646
##  [5857] 0.87019183 0.86781713 1.51625507 0.86955287 0.61717999 1.20557847
##  [5863] 0.56292658 0.52617329 0.23585014 1.16103167 0.75097128 0.76123298
##  [5869] 0.72148133 0.67315563 0.79298745 0.94749063 0.92641508 0.29739385
##  [5875] 1.08950897 0.86768151 0.42420680 0.47743335 0.78263323 1.12155715
##  [5881] 0.82417428 1.03707591 0.75705882 0.62171754 0.71751461 0.32839009
##  [5887] 0.79852139 0.41769211 0.79928988 1.32967448 0.64339924 0.18801738
##  [5893] 1.30190350 0.68375173 0.40627819 1.05627812 1.12101958 0.72339710
##  [5899] 0.69437642 0.88771701 1.04851377 0.45128492 0.89273297 0.61748492
##  [5905] 1.04303856 0.88549901 1.17195094 1.20362184 0.95187653 0.38775869
##  [5911] 0.26721681 0.21275143 0.80984444 1.68527558 1.05288623 0.71478976
##  [5917] 0.35160453 0.41586942 0.99848034 0.51544557 0.32005867 1.01378466
##  [5923] 0.65610000 0.40990208 0.76103314 0.38712880 0.86216552 1.82181263
##  [5929] 0.27541777 0.64171716 0.94544033 0.74126853 1.55860130 1.43221193
##  [5935] 0.95759383 1.14849172 0.81249198 0.45368755 0.85450678 0.79095110
##  [5941] 1.63487337 0.40446361 0.81175988 0.68781032 0.77819723 1.01782834
##  [5947] 1.10971793 0.50455795 0.60034404 0.84093052 0.36214787 0.52646120
##  [5953] 0.34415469 0.42027357 0.61742097 0.59238067 0.32524060 0.70337027
##  [5959] 0.41294561 1.15872790 0.11609994 0.37406398 0.54646354 0.77076390
##  [5965] 0.95518634 1.00062271 1.10092523 0.25660670 0.29112552 1.36605960
##  [5971] 0.56136623 0.38665323 0.90641563 0.76253296 0.81829690 0.46797728
##  [5977] 0.87797142 0.33143900 0.98927919 0.68784076 1.06676018 0.47915820
##  [5983] 1.14467482 0.56665085 0.43803615 0.85103894 1.30618954 0.60333367
##  [5989] 0.33429433 1.07125411 0.41946563 0.65702119 1.04108019 0.60832527
##  [5995] 0.54124125 0.65574554 0.41094511 0.82757198 1.37787879 0.50530948
##  [6001] 2.06660886 0.79532305 0.31697612 0.63436464 0.71316863 1.56914625
##  [6007] 0.67007731 1.76463353 0.54832430 0.75687887 0.70504631 0.94352920
##  [6013] 0.67811673 0.51777730 0.67936956 0.60443366 0.56661315 0.70035935
##  [6019] 0.92058944 1.19072061 0.62694115 0.98843178 0.60378529 0.50138722
##  [6025] 0.43131393 0.59989904 0.41786822 0.48512159 0.64553205 1.24096600
##  [6031] 0.88835163 0.78752951 0.33183962 0.76752210 1.09376302 0.85068024
##  [6037] 0.98310234 0.63988627 1.12790224 0.58121330 1.01485539 0.62376056
##  [6043] 0.56326453 0.65414520 1.00099475 0.77236549 0.86879723 0.49669595
##  [6049] 0.54246371 1.51007724 0.64133128 0.87120401 1.13499624 0.88775485
##  [6055] 0.52323325 1.01434795 0.60164456 0.43912181 0.38996450 1.34056725
##  [6061] 2.34657366 0.35358634 1.07232583 1.04243622 1.47362762 2.32323134
##  [6067] 1.26905202 2.10664126 0.34307163 0.87954641 0.90556867 0.53566857
##  [6073] 0.72484628 1.11090914 0.37480984 1.25798421 0.64024813 0.79899774
##  [6079] 0.60216964 0.56345640 0.30726918 0.56346087 0.43254058 0.50398682
##  [6085] 0.38507278 0.91644977 0.95811228 0.99830565 0.78443081 0.28533014
##  [6091] 0.65738234 0.50293970 0.57455250 1.10479668 1.60960569 1.82700036
##  [6097] 0.82343382 0.36453551 2.03219530 0.45160674 0.32888252 0.48494312
##  [6103] 0.40158681 0.37096873 0.53623947 0.28594352 0.49778097 1.42754963
##  [6109] 0.87884253 1.18447773 0.99086697 0.97836838 2.10451068 0.44070043
##  [6115] 0.86873775 0.34165049 0.64124037 0.55147284 0.44982588 0.58056976
##  [6121] 0.84744906 0.44839219 1.32182200 1.20912838 0.28364517 1.15878409
##  [6127] 1.05808322 0.53076993 0.72345415 0.78520053 0.83747687 0.47622916
##  [6133] 0.39274320 0.73893759 0.68852332 0.64181029 0.83734642 0.61494093
##  [6139] 0.77901339 0.70978099 0.22328466 1.02012208 0.37102156 0.59361265
##  [6145] 0.14072959 0.26661011 0.77983325 0.83402152 1.12954626 1.03537337
##  [6151] 0.81850515 0.31403065 0.56863877 1.28141183 0.26430429 0.89773699
##  [6157] 0.95497699 1.10968563 0.26099575 0.95965546 1.46434482 1.17211212
##  [6163] 0.39950130 1.10553377 0.47880659 1.14350874 0.45192826 1.88245530
##  [6169] 1.06445298 0.11379310 0.43450696 1.43637193 0.50119857 1.11556151
##  [6175] 0.99219779 1.14351904 0.55873085 0.49208882 0.81335114 0.42840713
##  [6181] 1.02871524 1.04862818 0.25809136 0.49690322 0.70752236 0.47741772
##  [6187] 1.61882823 0.78361150 0.33718701 0.58352507 0.74131581 0.84034452
##  [6193] 0.38822840 0.80313711 0.64652106 0.29323791 0.21666921 0.57828188
##  [6199] 0.42715546 0.95238235 0.77385937 0.43396747 0.72546331 1.30337755
##  [6205] 0.60845880 0.71998406 0.91038083 0.42554041 0.28152132 0.91498135
##  [6211] 0.71162022 0.81984495 1.12786230 0.99811297 0.78134722 1.05008768
##  [6217] 0.81101608 0.42200896 0.27772489 1.23736102 1.14551071 0.47774810
##  [6223] 1.11371372 0.40924063 0.69938122 0.51551434 0.87224592 0.56305933
##  [6229] 0.86689699 0.75360080 0.67212512 1.20584793 1.01460794 0.84544165
##  [6235] 1.07109554 0.59874196 0.37139670 0.81494945 0.73429344 0.40829561
##  [6241] 1.05618846 0.44372415 1.26383703 2.67935997 0.63265857 0.89024750
##  [6247] 0.09849190 0.90891472 1.39666586 1.82362833 0.52448847 1.84265315
##  [6253] 0.73816762 0.68568841 0.73840174 0.73917906 0.86905826 0.95986320
##  [6259] 1.01575450 0.59786710 0.91425325 1.49362094 0.38005308 2.24591829
##  [6265] 0.82861029 0.91563169 1.03999495 0.61154650 0.32865139 1.08432211
##  [6271] 0.84978639 1.24510141 0.43685243 0.25122360 0.50257481 0.63574367
##  [6277] 0.40952289 0.83898801 0.37261762 0.77083758 0.50254165 0.86664274
##  [6283] 0.81549441 0.35722770 1.34110311 0.90992998 0.96795260 1.35022667
##  [6289] 0.66936051 0.78905099 0.58357783 0.76445253 0.59770754 1.25578945
##  [6295] 0.74203663 1.18770860 1.00171975 1.18549795 0.47341545 0.44307702
##  [6301] 0.45391799 0.99563716 0.69420759 1.21847072 0.26650958 1.08363685
##  [6307] 1.02364438 0.22793457 0.87171948 0.71000399 0.61518278 0.93915659
##  [6313] 0.41284958 1.27607878 1.21664236 0.54930867 0.49556999 1.09798329
##  [6319] 1.41606105 0.31607205 0.51327055 0.48207263 0.43561495 1.30939520
##  [6325] 1.51753709 0.74654014 0.75516058 0.94700495 0.50167811 0.76489028
##  [6331] 0.90142379 0.33705790 0.66148422 0.75518369 1.13134586 0.33072775
##  [6337] 0.37423911 0.35454967 0.73252395 0.76805878 0.24306899 0.65147226
##  [6343] 0.73442722 0.58046838 1.66712938 1.25560537 0.71284018 0.87234262
##  [6349] 0.44375785 0.25125707 0.43197694 0.66500072 0.22261697 0.69126680
##  [6355] 1.17830413 1.08746291 0.78612848 1.73488637 0.58735622 1.04340019
##  [6361] 0.33442237 1.19944912 1.09611309 0.54648337 1.45855157 0.96434308
##  [6367] 0.85986019 1.39759421 1.63999767 0.49743417 0.91228517 0.94479193
##  [6373] 0.49065697 0.65755424 1.32103642 1.31451664 0.20394835 0.52639626
##  [6379] 0.91357242 0.38263575 0.43734543 0.74523566 1.33856396 0.51607448
##  [6385] 0.31284872 0.54365466 0.94476282 1.77492000 1.17888618 0.92518230
##  [6391] 0.89440283 0.72250710 1.03819280 0.64219856 0.98941150 0.73100468
##  [6397] 0.33147090 0.93760380 0.53173336 1.04892540 0.47587091 0.34394151
##  [6403] 0.38525528 1.26946199 0.86222950 1.08577415 0.56631271 0.42707362
##  [6409] 0.94262808 0.66161677 1.10575671 0.23741786 0.87086745 0.84063006
##  [6415] 0.73744756 0.85736469 0.64838343 1.07536797 0.24655105 0.25280960
##  [6421] 0.59794194 0.69478286 0.62926509 0.84319740 1.15694615 0.99449690
##  [6427] 0.57312254 0.99636966 0.46118708 0.48772154 0.36923735 0.77145849
##  [6433] 1.01549137 0.92829252 0.20631079 1.75457578 1.13906885 1.23702298
##  [6439] 0.24674730 0.75806439 1.53421006 0.88372308 0.58825137 0.92517568
##  [6445] 0.47003773 0.18555973 1.13236072 0.42927577 0.68802272 0.96930684
##  [6451] 0.43165566 0.56128743 0.25913529 0.47078459 1.29206076 0.97624421
##  [6457] 1.12483435 0.42388581 0.99352511 0.14423058 1.13364612 0.96455909
##  [6463] 1.25091588 1.31527846 1.03557187 1.17454505 0.61123322 0.78956560
##  [6469] 0.99816029 1.03273233 0.33946270 0.52175055 1.81155457 0.55946326
##  [6475] 1.00040251 0.55941941 0.74054005 1.33311482 0.46346906 0.32236522
##  [6481] 1.54664166 0.40910690 0.74994654 0.27432050 1.14930195 0.21051927
##  [6487] 0.94966032 0.39307821 0.42963158 1.18054327 0.50744544 0.34887087
##  [6493] 0.32986638 0.25806525 0.37674320 1.75268711 0.60707305 0.78717703
##  [6499] 0.28085742 0.97959621 1.05884089 1.09508095 0.92613773 0.49782744
##  [6505] 0.97096909 1.26376810 1.22555075 0.89216657 0.86532987 1.11968323
##  [6511] 1.27210978 0.40757472 1.51581282 1.33659229 2.16251131 0.80297172
##  [6517] 0.80034998 1.43941405 0.38516395 0.49169518 1.77248143 1.12179332
##  [6523] 1.37729858 0.84788633 0.40538715 0.70189506 0.43951067 0.53620036
##  [6529] 0.95812633 0.43198549 0.77452773 1.05609643 0.90128288 0.42517530
##  [6535] 1.30432602 0.70663853 0.74786693 0.20957586 0.31961500 0.88329050
##  [6541] 0.60653702 0.81577222 0.39523680 0.36881695 0.79799621 0.41408199
##  [6547] 0.12122212 1.08679100 1.44458958 0.66175393 0.59586359 0.80597508
##  [6553] 0.85283055 0.70722990 0.70284272 0.53578503 1.14679997 0.47735752
##  [6559] 0.48657563 1.19859374 0.20689217 0.60210890 0.66297004 0.99404121
##  [6565] 0.54123332 1.67112278 0.55463835 1.57503311 1.52822246 1.05855016
##  [6571] 1.32893605 1.04038691 0.96274888 0.31189806 0.81873859 0.42230062
##  [6577] 1.07451557 0.63372064 0.52927663 0.69350190 0.35535098 1.16099980
##  [6583] 1.06847497 0.60687541 1.62001977 0.09720121 0.28166669 0.68095967
##  [6589] 0.78438961 0.33059488 1.05175382 1.30760160 0.83669710 0.58439695
##  [6595] 0.64668769 0.86655022 0.48337033 0.52490383 0.43634698 1.45888873
##  [6601] 1.24124603 0.26946287 1.15130212 0.76899321 0.42418744 1.26028057
##  [6607] 1.09067126 0.78279261 0.58602493 1.48369391 0.40270173 0.71695529
##  [6613] 0.70545981 0.75405244 0.80570268 1.23012408 0.42586177 1.13853094
##  [6619] 0.50723443 0.38500621 0.40664596 0.52321168 0.34041935 0.32694934
##  [6625] 0.31535683 1.36891602 0.33069231 1.27283179 1.36329475 1.19614802
##  [6631] 1.47927692 0.63473336 1.69854148 0.36629367 0.67055105 0.88488848
##  [6637] 0.61529451 0.58673246 0.37362380 0.35632575 1.12833347 1.70734974
##  [6643] 1.10684141 0.66754927 0.29296000 2.58113462 1.04567823 1.09574474
##  [6649] 0.81412721 0.11017414 0.48174569 0.61187202 0.53171105 0.81752316
##  [6655] 0.29131820 0.55088033 0.63169080 0.95551117 0.46126635 1.22036363
##  [6661] 0.62444645 0.66547229 0.43231289 0.48020626 0.44768345 0.38512989
##  [6667] 0.30497840 1.69268971 0.64889278 1.51562297 0.24262103 1.24543169
##  [6673] 1.27228674 1.63857991 1.08151778 1.62615856 1.17560034 0.40075717
##  [6679] 0.47399266 0.11508175 0.64265301 1.47726565 0.36061671 1.00339058
##  [6685] 0.68508216 0.27166564 1.09574831 1.43579836 1.52102410 0.25753173
##  [6691] 0.65545317 0.41050779 0.45184806 1.07406833 0.90490755 1.06234584
##  [6697] 0.53594878 0.80904721 0.82952310 0.50462577 0.72862490 1.03790486
##  [6703] 1.66800323 1.50685316 0.50992685 1.25508814 0.89481204 0.83724531
##  [6709] 0.59433508 0.90125039 0.69660240 0.80098584 0.97210982 1.10846269
##  [6715] 0.66775840 1.05147751 0.49129595 0.38468751 0.82423388 0.74582082
##  [6721] 0.37930861 1.18487649 0.76642474 0.19019230 0.63840280 0.56108782
##  [6727] 0.39444245 0.75416669 0.24099556 1.22544532 0.78688106 1.61612247
##  [6733] 0.28886679 0.74114722 0.31430440 1.10886014 1.64881239 0.73781174
##  [6739] 1.17110225 0.77715628 1.37023758 0.24538622 0.26199467 0.31468397
##  [6745] 0.91116071 0.38416817 1.44606778 0.34903442 0.74014925 0.83771916
##  [6751] 1.04585350 0.91446521 0.80329375 1.26533968 0.30179610 0.95213291
##  [6757] 1.26286966 1.15089995 0.71378665 0.35251628 1.29341044 0.24711449
##  [6763] 0.75326368 0.80766771 0.67255423 0.28613634 0.34399748 0.74820485
##  [6769] 0.69665040 0.79831906 0.56004552 0.40234265 0.68464875 0.96131567
##  [6775] 0.58018303 0.76208666 0.68146210 0.69117408 0.47986212 0.95772717
##  [6781] 0.90224282 0.39838336 0.65375505 1.11840029 0.82606297 0.67733870
##  [6787] 1.16553054 1.35444144 0.32752250 0.49954583 0.98070146 0.97077517
##  [6793] 1.72468711 0.96225221 0.58404297 0.69438788 0.89380197 0.34861286
##  [6799] 0.79787059 0.87586732 0.40497540 1.01339586 0.32921791 0.92260458
##  [6805] 1.82129136 0.43457826 1.81919430 0.93672716 1.37833538 0.32489860
##  [6811] 0.67239817 0.56001495 1.09607151 1.36658094 0.70761483 1.13625932
##  [6817] 0.55392411 0.34381989 0.81952488 1.45832244 0.67541732 0.72850025
##  [6823] 0.69409393 0.75305315 0.62864107 1.64823214 0.26532275 0.71845160
##  [6829] 0.98463110 0.83151505 1.04745877 0.57244214 0.44436524 0.48362556
##  [6835] 0.51487824 0.52481907 0.45771676 1.42703005 0.22651612 0.66048067
##  [6841] 0.22937143 0.69628366 1.98951904 0.73012634 0.87251115 0.79190237
##  [6847] 0.53994219 0.50439382 0.45423550 1.01319587 0.47646629 0.57075697
##  [6853] 1.10410871 0.53770054 0.46679397 0.43503016 0.29539291 1.33395229
##  [6859] 1.59684572 1.54712168 1.68519835 0.85793446 0.70534550 0.54362361
##  [6865] 0.40089744 0.82191974 0.45976290 0.46714120 0.80448626 0.44937066
##  [6871] 0.78330558 1.54886732 1.05819773 0.86008621 0.77127683 0.50286647
##  [6877] 1.31732306 1.15512716 0.66969485 0.58281990 1.21818121 0.27110382
##  [6883] 0.34418040 0.73793814 0.41335936 0.45579674 0.52010058 0.91716156
##  [6889] 0.91364583 1.05889954 0.74526461 1.40422199 0.28019027 0.65386289
##  [6895] 0.68628764 0.58611495 0.27390644 0.68634080 1.08727867 1.53817500
##  [6901] 1.33028666 1.63601943 0.49967100 1.32105981 1.07963663 0.65586877
##  [6907] 1.06973245 1.00988563 1.48461729 0.60320559 0.63792452 1.05791002
##  [6913] 0.82553794 1.28266613 0.71620420 0.62796090 0.78499090 0.74851011
##  [6919] 0.81601831 2.18375979 0.80119807 1.26787625 0.72538991 2.40740670
##  [6925] 1.41906796 0.81205600 0.84815332 0.96290000 1.39458700 0.91116694
##  [6931] 0.55401027 0.58845706 0.89856599 0.75367728 0.38744251 1.24705348
##  [6937] 0.23236095 0.49863855 1.00616168 0.75614120 1.02480982 2.26612984
##  [6943] 0.50832007 0.88947877 0.25916988 0.63572586 0.77734821 0.86206445
##  [6949] 0.55726195 1.59546496 1.51730497 0.48093117 0.78650096 0.51490547
##  [6955] 0.44050952 1.45485684 0.42634932 0.63564828 0.77803045 0.60623328
##  [6961] 0.66657822 1.87591611 1.07599753 1.07271805 0.48596754 0.73371371
##  [6967] 0.90574875 0.55657858 0.45784337 1.01139885 0.74643744 1.14579328
##  [6973] 0.88647604 1.57455186 0.54564339 1.04002250 0.86182795 0.84759817
##  [6979] 1.08456744 0.72961015 0.44396987 0.46746096 1.04861193 0.65993456
##  [6985] 1.03144954 0.63098139 0.65827347 0.68026883 0.81738596 0.61763555
##  [6991] 1.04844761 0.55522841 1.61288053 0.51717292 0.81049708 0.65973096
##  [6997] 1.59501558 1.27764335 1.21487209 0.37581264 0.94111404 0.24683970
##  [7003] 0.49359495 0.42178841 0.65250180 0.29144042 0.37914515 0.76671267
##  [7009] 1.61255656 0.48307706 1.39782096 1.31571658 1.46820143 0.59765989
##  [7015] 1.14176892 1.28875867 0.85188479 0.24136992 0.70098892 0.70313248
##  [7021] 1.17042741 0.94641974 0.48479013 0.37892575 0.18665436 0.84078762
##  [7027] 1.49222842 0.47513111 1.09763810 0.29759505 0.61306231 0.85961397
##  [7033] 0.82666786 0.38449536 1.53021755 1.45917162 0.43758482 0.47883635
##  [7039] 1.29237429 0.98774488 0.56661398 0.88717456 1.40185797 1.35936912
##  [7045] 0.71837359 0.15863607 1.78535563 0.19932002 0.33575635 0.51030746
##  [7051] 0.65267878 0.43798210 0.72498577 0.54126668 0.67555557 0.39797909
##  [7057] 0.43914385 0.29933477 0.94947359 0.90523141 0.61356781 0.93993524
##  [7063] 0.77804716 0.29457717 1.60375424 0.81077905 1.34834884 0.37825589
##  [7069] 1.01939047 0.65053303 0.62754624 0.34102773 0.55464508 0.63727969
##  [7075] 0.41803893 1.63874632 0.91272464 0.39232922 0.43337087 0.80210053
##  [7081] 0.54626911 0.72715222 0.62220525 0.72678617 0.28842324 1.27138904
##  [7087] 1.36911212 0.76243886 0.71175866 0.88027564 0.92297840 1.32071025
##  [7093] 1.05323765 0.29514571 1.55345985 1.09576403 0.95540595 0.86611809
##  [7099] 0.94428877 0.74966765 0.46161615 1.00107761 0.87378355 0.82066971
##  [7105] 0.40455107 0.68026330 0.68688520 0.78781871 0.66200650 0.61219851
##  [7111] 0.53788733 0.38412023 0.81451422 0.98058077 0.54976750 1.40871258
##  [7117] 0.85541165 0.36972411 0.52046154 0.45905369 0.60953754 1.64526985
##  [7123] 0.99731673 0.77968702 0.39186803 1.14117392 0.50889442 1.04071169
##  [7129] 1.06603910 0.72011982 0.97145162 0.51165844 0.74983401 0.27630121
##  [7135] 0.60431613 0.97665037 2.03509015 1.26844556 0.35918982 0.51793453
##  [7141] 0.52447911 0.55118628 0.49253596 0.72630480 0.66933129 0.90664829
##  [7147] 1.13748419 1.09656752 0.73202928 0.46337069 0.53184737 0.67503647
##  [7153] 0.49054501 1.23003405 0.59593130 0.58131385 1.33757455 0.65141950
##  [7159] 1.12456004 0.79019284 0.27997502 1.33608071 0.61269148 0.73415262
##  [7165] 0.11831997 0.48767073 0.61574431 0.67335322 0.47928448 0.15378694
##  [7171] 0.97784282 0.33813617 1.31653503 0.76123917 0.53365103 0.83758361
##  [7177] 0.39402361 1.09821431 0.16992334 0.89185928 0.65775735 0.50660589
##  [7183] 0.63146245 1.25996290 1.13004329 1.04804833 0.79424210 0.42155901
##  [7189] 0.58512251 0.97392860 0.80089704 0.70742594 1.11142347 1.84427034
##  [7195] 0.69310924 1.35115721 1.36062337 0.68234540 1.11415255 0.45440618
##  [7201] 0.66648008 0.23131202 1.70960874 0.76912814 0.52012425 0.39762051
##  [7207] 0.54423966 1.02327636 1.17392641 0.52116069 0.83853602 0.35544003
##  [7213] 0.21301398 1.22490364 1.80995838 1.47809165 0.39566938 1.78874961
##  [7219] 0.61433085 0.95782910 0.58361285 0.84422006 0.62915783 1.88761006
##  [7225] 0.95601788 0.80035505 0.75716828 1.06326207 0.45936721 0.64064832
##  [7231] 0.48785008 0.98514790 1.02059665 0.48304346 0.53090873 1.37503190
##  [7237] 1.29523064 0.33553932 1.08371005 0.79336169 0.83550757 0.29473460
##  [7243] 1.48675244 1.07545207 1.28468835 0.60708487 0.79744523 0.51444160
##  [7249] 0.76721503 1.39890787 1.27665461 0.45622313 0.37711344 0.57015184
##  [7255] 0.72159859 0.40051620 0.60863319 1.21799806 0.36865645 0.51213027
##  [7261] 0.63914337 0.83742765 0.68077679 0.18874291 1.01329895 0.33150306
##  [7267] 1.31348386 1.10730554 0.46955199 0.41358720 0.56053108 0.56793272
##  [7273] 0.76961901 1.21454926 0.49850944 0.50511819 0.62885397 1.15035860
##  [7279] 1.41931146 1.12091186 0.43524900 0.71900938 0.56573492 0.54316267
##  [7285] 0.40693785 0.92314837 0.43792469 0.45030769 0.60760571 0.93014278
##  [7291] 1.25361828 0.77235415 0.71152900 1.33401379 0.66406893 0.48097921
##  [7297] 0.22614627 0.69383443 0.99740337 0.64707782 1.26607656 1.47412429
##  [7303] 1.44120933 1.62860687 0.70230178 0.62552739 0.50689214 2.14010508
##  [7309] 0.43823109 0.39571991 1.07355782 0.90140014 0.65857044 1.22788829
##  [7315] 1.07572289 0.56026125 0.20793170 0.26826919 0.95856129 0.62581514
##  [7321] 0.16612955 0.89495008 0.82278891 1.08744567 0.56165283 0.43450955
##  [7327] 0.39408324 0.49826369 1.30382350 0.82418280 0.83259278 1.12132805
##  [7333] 1.24537838 0.77305872 1.07621989 0.60603297 0.96616787 0.15505300
##  [7339] 0.91083863 0.95809578 0.68307105 0.22083982 1.25645625 0.84413903
##  [7345] 1.19226691 2.00012729 1.19295110 0.71966317 0.60570940 1.15841729
##  [7351] 0.82612659 0.90178459 0.24481894 0.88108625 1.32972604 1.14894131
##  [7357] 2.76247110 1.77987692 0.41622809 0.90841063 1.39409074 0.47640030
##  [7363] 0.99932177 0.76596601 0.52972705 0.43155419 0.93708698 1.78819212
##  [7369] 1.09065134 0.61960561 1.47542249 0.22970389 0.52518999 0.99715325
##  [7375] 0.58382324 1.42297690 0.70212111 0.89893162 0.55772815 0.74345521
##  [7381] 1.13482900 0.33129004 0.25830313 1.18075040 0.46710979 1.47069703
##  [7387] 0.39654644 0.43879460 1.15837191 0.64206124 0.76599578 0.73832282
##  [7393] 0.36583191 0.85501008 0.37585590 0.93508562 0.61694592 0.29754726
##  [7399] 0.39649176 0.36956467 0.43039212 0.75677233 0.86294899 0.20513111
##  [7405] 0.41975696 0.67605623 0.96306454 0.46878572 0.29086483 0.42575884
##  [7411] 1.47487465 0.27668127 0.94956952 0.51584707 1.13615410 1.06090081
##  [7417] 0.91585491 0.65289156 0.69842296 0.78804562 0.82000172 0.66611051
##  [7423] 0.50709943 0.92725078 0.75635361 1.02495574 0.73577644 0.62582996
##  [7429] 0.40760646 0.82761672 1.18390977 0.38249021 0.43894078 0.65187429
##  [7435] 0.50181641 0.27143051 0.92016405 0.50123242 0.91201753 0.75685037
##  [7441] 0.95860721 0.35575952 0.42900162 0.69916130 1.47100667 0.69965949
##  [7447] 0.54624046 0.53840672 0.62701940 1.30136932 0.51572049 0.69706666
##  [7453] 0.69635352 0.61115218 0.65921228 0.40020722 0.85981377 0.81344305
##  [7459] 0.71886086 0.45808890 1.44778910 0.77814989 0.77206105 0.69886988
##  [7465] 0.79572501 0.72186173 0.83552200 0.64980038 1.04010390 0.74800090
##  [7471] 0.56941797 0.77396982 0.41797224 1.44915682 1.40883721 0.79849592
##  [7477] 0.84743294 1.22755967 0.96772927 0.25852199 1.24026965 0.67670636
##  [7483] 0.87790958 1.05121565 0.75251381 1.40608968 1.67981514 1.16491408
##  [7489] 0.51678850 0.93983648 1.45097907 0.51062668 0.45786563 1.73457046
##  [7495] 0.24489745 0.55856893 0.30979254 0.62507958 0.93348822 0.34717407
##  [7501] 0.31211044 0.87350437 0.95018677 0.95507971 0.35110543 1.28643080
##  [7507] 1.27368569 0.49146567 1.15818690 0.31099617 0.13256631 0.72780787
##  [7513] 0.48252087 0.53734677 0.77143501 0.75439310 1.79205239 0.27425757
##  [7519] 0.56519746 0.64476894 0.16087071 0.90231525 1.03138070 0.89627601
##  [7525] 1.75026457 0.47507425 0.25919283 0.81975711 0.73847491 0.75307641
##  [7531] 0.64233372 0.73184550 0.83214470 0.42878364 0.77766912 0.30069090
##  [7537] 0.67189772 0.98468381 1.23087336 1.53714008 0.56018689 0.64406585
##  [7543] 0.43696932 1.37112567 0.65244444 1.42501533 1.26269215 1.02886954
##  [7549] 0.65932905 0.33805239 1.73699650 2.28202894 0.98788023 0.45945090
##  [7555] 0.80735853 0.81451600 0.78227050 0.40292382 0.77726864 0.88475961
##  [7561] 0.58253731 0.91487201 1.35005693 0.96448215 0.53194106 0.18934904
##  [7567] 0.81432616 1.09226631 0.67020586 1.02279253 0.72198022 0.29795819
##  [7573] 1.72915602 0.53649502 0.56040195 0.60258915 0.46010281 0.22138691
##  [7579] 1.23896231 0.85547630 0.81747299 1.25442942 1.18055678 0.43722274
##  [7585] 0.82965996 0.75841346 1.19892972 1.35946483 0.63954031 0.67777090
##  [7591] 0.46987262 1.17736559 1.03935789 1.38798791 0.88938517 1.02321068
##  [7597] 0.48995262 0.69048152 0.63490591 1.17164863 1.23950854 0.30645319
##  [7603] 0.92189958 0.74430413 0.48976594 0.36145522 0.83657298 1.25753523
##  [7609] 0.48398748 1.01104035 0.96368953 0.04100119 0.13754670 0.60323576
##  [7615] 0.60908239 0.94194972 0.46914688 0.49019416 0.59374393 1.20845876
##  [7621] 0.85797365 1.11056900 0.35127481 0.46339255 1.17945166 0.81722140
##  [7627] 0.88762823 0.73334475 0.41622044 0.75964664 0.72000303 0.48604641
##  [7633] 0.96568597 1.66804707 0.54761584 0.28980520 1.08342028 0.92687526
##  [7639] 0.56133615 0.67130395 0.75662754 1.16518797 0.83708282 0.84202591
##  [7645] 1.07042667 0.78109320 1.41282906 1.42036148 0.71909606 1.41096612
##  [7651] 0.83180534 0.29372276 0.47798431 0.84960523 1.13142876 0.35076818
##  [7657] 0.53138467 0.32192340 1.00638792 0.28139624 0.78631369 0.42908443
##  [7663] 0.83237114 1.47160761 0.86949079 0.60319773 0.83354448 0.65081471
##  [7669] 1.55922161 0.34673915 0.94528174 1.06895225 1.99477101 1.03755096
##  [7675] 0.44608978 0.55123762 0.87953253 0.51587594 1.57603742 0.82588844
##  [7681] 1.63726734 1.15776334 0.79579784 1.01059075 0.88605012 1.30867010
##  [7687] 1.07367637 0.77331120 1.02105990 1.06057441 0.73821440 0.72681771
##  [7693] 0.74601300 1.46667410 0.66884422 1.18296285 1.19902412 0.99365993
##  [7699] 0.52424654 0.77811099 0.66016759 0.42318490 0.67214725 0.81744293
##  [7705] 1.03644154 0.87223193 0.63646031 0.55829827 0.37224506 0.78852932
##  [7711] 0.60062089 0.64474805 1.22943496 1.10603412 0.28086047 0.67272853
##  [7717] 0.66589312 0.53993149 0.94757475 0.90207011 0.36738496 0.81251720
##  [7723] 0.36217358 0.83889291 0.49816413 1.53197080 0.57562618 1.69369113
##  [7729] 0.87974152 0.59612302 1.11229682 0.51111249 0.90599489 0.50921134
##  [7735] 0.30879633 0.62993108 0.38825663 1.31382660 0.81326244 0.56097094
##  [7741] 0.32446042 0.54292680 1.34490903 0.34190561 0.90866274 0.76770116
##  [7747] 0.56113397 0.84475843 0.85844511 0.09621642 0.63785221 0.31455292
##  [7753] 0.70420279 0.66145196 0.63499502 0.73682793 0.41743475 0.74843394
##  [7759] 0.59239591 0.45484600 0.36672201 1.12849904 1.93824859 0.42013834
##  [7765] 1.84110944 0.82461258 0.15264603 0.17246769 0.97948655 0.56646254
##  [7771] 0.25301754 0.73358697 0.45891773 0.44944866 1.17591064 0.64346868
##  [7777] 1.02195461 0.96282977 0.31755087 0.63371789 0.97078742 0.50715750
##  [7783] 0.78103517 0.58171089 1.35272175 1.74849322 0.28774680 0.32310475
##  [7789] 1.52004522 0.64760314 1.07576352 1.18151838 0.31157009 0.22194142
##  [7795] 0.23954957 0.64388093 0.30048759 0.63008009 1.13494877 0.66614218
##  [7801] 0.27358243 0.18414567 0.72411237 0.39838170 0.39623202 0.44189507
##  [7807] 0.90269362 0.31364108 0.37530153 0.66097744 1.36681852 0.71745607
##  [7813] 1.05490546 1.57656449 1.04218944 0.64837188 0.88847946 0.63069919
##  [7819] 0.68838980 0.64542142 0.38345051 0.97491625 0.33553501 0.33241769
##  [7825] 0.67212715 0.92978319 0.57089146 0.86067969 1.19460557 1.30481602
##  [7831] 0.52889211 0.93148024 1.16098357 0.43420781 0.80404225 0.82577386
##  [7837] 1.43948030 0.78646074 0.63364703 0.34070831 0.18354832 1.11048349
##  [7843] 1.75055533 0.54278526 0.67390801 0.71523193 0.69752339 0.67911379
##  [7849] 0.74043772 0.93303790 0.34397782 0.39350491 0.24770520 0.83502551
##  [7855] 1.02247389 0.46315045 0.85619322 1.87507149 1.32612092 0.55037624
##  [7861] 1.46968307 0.67083376 0.54926537 0.74169996 0.78197824 0.70787776
##  [7867] 0.86683488 0.46853461 1.10358274 0.74066506 0.81651070 0.46991472
##  [7873] 0.34135012 1.04794667 0.74484113 0.53362810 0.36665218 1.65020909
##  [7879] 0.62457272 0.31300685 1.03850288 0.73363012 2.11352447 1.38097222
##  [7885] 1.10828584 1.14206731 1.13559164 0.58519684 0.94597647 0.38228602
##  [7891] 1.06158210 1.37994838 1.03472310 0.56872839 0.32395794 1.10548300
##  [7897] 0.20482159 0.66537666 0.75032206 0.57904493 1.25408155 1.23319510
##  [7903] 0.88289139 1.49191159 0.90999912 1.02897821 0.90189714 0.42308036
##  [7909] 2.13335223 0.32083829 1.50292435 1.25356968 0.81834682 0.36831358
##  [7915] 0.49191460 0.79028430 0.36322501 0.55037272 1.41006502 0.50136466
##  [7921] 0.89929012 0.79630958 0.38544136 0.32352393 0.83937764 0.76371494
##  [7927] 0.60506794 0.52588503 0.57560590 1.47862299 1.09172901 1.49011630
##  [7933] 0.61441267 2.23123266 1.01358603 0.59657231 0.55005564 0.86361232
##  [7939] 0.95359162 1.20985822 0.59210322 0.39112656 0.78045110 0.33615580
##  [7945] 0.91416017 0.65346095 0.99414372 0.59312767 0.59308677 1.26798076
##  [7951] 0.71009853 0.54958764 0.62068972 0.85298655 0.85347422 0.79945542
##  [7957] 0.93868191 0.72077992 0.66372899 0.40774973 0.58148974 1.07944467
##  [7963] 1.73287160 1.72192062 0.59677043 0.69070049 1.04527254 0.28667584
##  [7969] 0.45772871 1.38450235 0.43955303 0.40263750 0.44243014 0.36834089
##  [7975] 0.80280691 1.21433954 0.59452602 1.22744795 0.27251060 0.51442097
##  [7981] 0.31621538 0.55973482 0.60085068 0.63151644 0.80160645 0.28228968
##  [7987] 0.68909841 0.67125794 0.68661687 1.06506156 1.26546415 0.67191069
##  [7993] 0.70223508 0.97829912 1.08318322 0.55565836 0.90202725 1.15696806
##  [7999] 1.06814359 0.32256379 1.31782631 1.23541825 0.57628046 0.56571319
##  [8005] 0.45555474 0.82254989 1.11329554 0.56822347 0.86206167 0.76990055
##  [8011] 0.44896979 0.69531162 0.69129839 0.69873510 1.13805144 1.01604746
##  [8017] 0.72245259 0.81728148 2.13385642 0.46830495 0.89081676 0.90646072
##  [8023] 0.51948235 0.77497112 0.47148731 0.54602997 0.31345593 0.55280754
##  [8029] 0.84977440 0.53386150 1.11303010 0.25058842 0.36707958 0.29436511
##  [8035] 1.24593979 0.60209319 1.04947293 0.54714911 1.07942797 0.63065099
##  [8041] 1.64164332 0.63426670 1.13412298 0.87074592 0.91302195 0.68150847
##  [8047] 1.42927408 1.34495645 0.65423556 0.74280822 0.86088551 0.33917635
##  [8053] 1.27344506 0.29715693 1.20551053 1.36779747 0.75275109 1.20614749
##  [8059] 0.91208995 1.44697330 1.33390644 0.88860610 0.73456813 0.35300729
##  [8065] 0.57342566 1.75304101 1.02573350 1.20254716 1.13540098 0.56193217
##  [8071] 0.34649983 0.93407697 0.36860476 0.74634605 0.87073555 0.73733190
##  [8077] 0.32819071 0.39324948 0.33286181 0.88906842 0.65624285 0.37783581
##  [8083] 0.20990024 0.23580823 0.41565519 0.41348281 0.42431291 0.19160498
##  [8089] 1.05582153 0.50549769 0.85919291 1.34021833 0.83042730 0.43882748
##  [8095] 0.95038728 0.63892472 1.22529452 0.80576735 0.56241821 0.49688048
##  [8101] 0.96078479 0.58064834 1.46829692 1.13868189 0.37356067 1.07954297
##  [8107] 0.48538056 0.55861899 0.41395013 0.22850035 1.39567599 1.86617153
##  [8113] 1.52569973 0.97638823 1.44914841 0.65121807 0.59296579 1.02254847
##  [8119] 0.61389611 0.69600942 1.21908205 1.60613647 1.12380264 1.22102333
##  [8125] 0.67596020 0.39262838 0.90822820 0.39655562 0.30589305 0.24586007
##  [8131] 0.70161332 0.31770056 0.85405290 0.64468308 1.15823019 0.41320007
##  [8137] 1.34987988 0.70678249 1.38435281 0.39252523 0.31946242 0.87073541
##  [8143] 0.42565039 1.19516879 1.25837547 1.61231010 1.05025532 0.20903780
##  [8149] 1.50361782 0.50631691 0.34277301 1.16602816 1.18682311 0.64988135
##  [8155] 0.46810044 1.18634926 1.33684610 1.10085709 1.23870979 1.58837757
##  [8161] 0.68578144 0.87505445 0.31961799 0.70917838 0.46650760 0.56226156
##  [8167] 1.51397855 0.24318263 0.26517336 1.41141738 0.96009303 0.37449733
##  [8173] 0.95276364 1.03042208 0.77556499 0.40597447 0.28565139 0.67710555
##  [8179] 0.70317604 0.45564873 0.52579426 0.63478229 0.31915408 0.41010048
##  [8185] 0.98117588 0.39946665 1.20639518 0.84629814 0.18371331 0.66362090
##  [8191] 0.63973249 2.06743106 0.57452205 0.62537467 0.50816528 0.88309789
##  [8197] 0.75892040 0.30509269 0.31041700 0.56663364 0.34507836 0.76495112
##  [8203] 0.17396384 1.15229542 1.13198120 0.92626013 0.66831320 0.42277478
##  [8209] 0.99991415 0.37617588 0.87602434 0.26645638 0.24874491 0.86884809
##  [8215] 0.56392768 0.64645329 1.34483402 0.56136480 0.64827689 0.35703299
##  [8221] 0.51685569 0.63256666 0.51596007 0.31521076 0.26355822 0.76181465
##  [8227] 0.93387122 0.50367137 0.52611477 0.42574948 0.60564277 0.74156316
##  [8233] 1.18300192 0.22984699 0.25791815 0.44290339 0.65045392 0.63222087
##  [8239] 0.55844790 0.83548825 0.65214548 0.55814869 0.78939990 1.68603921
##  [8245] 0.82215243 0.71984868 0.33423701 2.23259194 1.01594079 2.15961962
##  [8251] 0.03409726 0.13001224 0.34138247 0.63176061 1.07455369 0.89824235
##  [8257] 1.21407669 0.91812593 1.06634187 0.55788241 0.93584229 1.75792699
##  [8263] 0.63607094 0.73153898 0.32585185 0.52942958 1.31921382 0.57464009
##  [8269] 0.36576317 1.07342873 0.42932786 1.31773212 1.62295946 0.32466033
##  [8275] 1.31672602 0.28622532 0.52791855 1.32866364 1.37154178 0.64305264
##  [8281] 0.21183573 0.68380582 1.20279564 0.79048670 0.59579148 1.82774635
##  [8287] 1.37915332 0.55325846 0.49198821 0.44796111 0.53062953 0.55545735
##  [8293] 1.14985055 1.08182515 1.26974291 0.72206493 0.96121384 0.89987800
##  [8299] 2.14558911 0.76974790 0.66483147 0.35078973 0.91871524 1.04627717
##  [8305] 0.29700657 1.11662251 0.81582532 0.68426569 0.54297436 0.46312118
##  [8311] 0.60246142 1.02258752 0.34088556 1.18455287 0.82229764 0.74797215
##  [8317] 0.30953802 1.70681879 1.37709003 1.06888294 0.27713553 0.72051485
##  [8323] 1.34148893 0.91023536 0.27793044 0.46314683 1.35970056 0.73496046
##  [8329] 0.82926380 1.19513264 1.34185367 0.89859399 0.59731819 1.19279623
##  [8335] 0.48566395 0.50457517 0.86920984 0.70119602 0.33216015 0.28534588
##  [8341] 0.61840626 0.45589140 0.56213733 0.84641037 1.71751049 0.46325189
##  [8347] 1.79509717 1.25203101 1.44506624 0.48845273 0.67238915 0.64734887
##  [8353] 0.71508833 0.53293403 0.19492385 0.71370755 0.42610974 0.94119096
##  [8359] 0.49180204 0.36843006 0.23368469 2.11606221 0.99733348 0.27452309
##  [8365] 0.68945112 0.26095790 0.74443945 0.87101231 0.22207491 0.76209012
##  [8371] 0.68103090 0.43798869 0.92500892 0.43060530 0.70922511 0.71223628
##  [8377] 0.64037173 0.47127901 1.59125057 0.34519973 0.66911087 0.38410394
##  [8383] 0.96297780 0.56658666 0.26024453 1.05417154 0.18106978 0.86158938
##  [8389] 0.18754926 0.96804094 1.03545969 0.76171616 0.39631111 1.40170539
##  [8395] 0.69048081 0.47866485 0.53133918 0.55194881 0.75893790 0.37454636
##  [8401] 1.04164334 0.77560730 0.62945719 0.43284082 0.94890668 1.26880577
##  [8407] 1.88057680 1.21070644 0.39441644 1.01536748 0.65771180 0.54189890
##  [8413] 0.93535602 0.40257855 0.62131002 0.85654629 0.34386389 1.18861693
##  [8419] 0.83426426 1.39447159 2.03365033 0.39959169 0.94752794 0.57421756
##  [8425] 0.52641532 0.87846889 1.56587447 0.31504208 0.68098284 1.14144361
##  [8431] 1.21793141 0.93556307 1.24322230 1.07024503 0.71964473 0.92690690
##  [8437] 1.02521715 0.57386594 0.27215266 0.29999311 0.52397079 0.19776367
##  [8443] 0.82448395 0.32219938 0.28998235 0.41571802 0.95192530 1.69328807
##  [8449] 0.33419495 0.45526369 0.30871826 0.75553639 0.41968051 0.21012878
##  [8455] 1.11411373 0.51204449 0.72591300 0.57573352 0.63888384 1.22049947
##  [8461] 1.70985493 1.17006519 0.99932673 1.62623736 0.77712213 0.77466516
##  [8467] 1.46644077 0.36607159 1.01066953 0.97551846 0.64130678 0.93013405
##  [8473] 1.14425398 0.69971472 0.58620654 1.12954916 1.02759936 1.97095768
##  [8479] 0.71938496 0.83873024 0.81445794 0.33470243 0.54957943 0.67170708
##  [8485] 0.34221984 1.27653898 0.84891008 0.42510985 0.91692235 0.62753898
##  [8491] 0.60027621 0.57327358 0.86536294 1.20190862 1.06056058 0.45225032
##  [8497] 1.21519848 0.79242476 0.73524326 0.55535571 0.95715610 0.43909246
##  [8503] 0.30630885 0.57948300 0.40309696 1.37486334 0.65910532 0.31277652
##  [8509] 0.80299766 0.77788829 0.67282676 0.46917866 0.28074924 0.81615084
##  [8515] 0.41329738 1.57071047 0.43727238 0.88766350 0.99180491 0.59402537
##  [8521] 0.60170907 0.32371032 0.40026433 0.44569817 0.08294245 0.58779921
##  [8527] 0.67592845 0.60012620 0.66522124 0.67816869 0.74939049 1.09908754
##  [8533] 1.39259905 0.42481857 1.09241947 1.00710972 1.94991926 0.57745045
##  [8539] 0.64955467 0.84160483 0.82513827 0.36330221 1.38611428 0.57066844
##  [8545] 0.87985602 1.18627079 0.78938981 0.49296897 1.25460205 0.45065524
##  [8551] 0.79440834 0.72687133 0.90785421 1.66402897 0.76868343 0.88051812
##  [8557] 1.26943680 0.84725340 0.86387406 0.41254825 0.68154195 0.66597199
##  [8563] 0.62441718 0.94945321 0.15472563 1.43608136 0.71047279 0.66737953
##  [8569] 1.37038315 0.86563312 0.43878378 1.43880832 1.27219360 0.57169799
##  [8575] 0.25120698 0.28344991 0.63556525 0.67875382 0.73915603 0.72735611
##  [8581] 0.86695055 0.38820648 0.45642705 1.15346287 0.75876854 0.14214384
##  [8587] 1.47574600 1.03888865 1.04577476 0.58170200 0.61960284 0.43668724
##  [8593] 0.91860349 0.63272985 0.72781331 0.97265507 0.27039164 1.22120473
##  [8599] 1.03498739 1.75526703 0.86707718 0.79399041 0.24012250 1.94981922
##  [8605] 0.94505015 0.99007994 0.26003503 1.24805894 0.37239325 0.57511174
##  [8611] 1.51042731 1.51721911 0.11397029 0.76547161 1.14297455 1.56059179
##  [8617] 0.48606341 0.19617771 0.84637276 0.18741204 0.44367229 0.94425071
##  [8623] 0.94635480 1.02848222 0.59417177 0.98019236 0.39045864 0.32772096
##  [8629] 0.84182336 0.97811247 0.57244731 1.22635672 1.04678699 1.09959864
##  [8635] 0.39794032 0.50368502 0.24009355 0.71434777 0.41551356 0.48750152
##  [8641] 1.05454172 0.70038891 0.32399730 1.51325976 0.97489062 1.89885873
##  [8647] 0.50827584 0.48334652 0.47924402 1.55387646 0.73857377 1.62363275
##  [8653] 0.54386827 0.59231936 1.38212248 0.35735007 0.23381735 0.85123657
##  [8659] 0.79393351 0.83612041 0.90575130 0.55505098 0.52962861 0.26128205
##  [8665] 0.70027039 0.71879946 1.66384565 0.62132280 0.94643177 0.52896035
##  [8671] 1.40146193 1.94460305 0.89915357 0.63647322 0.84427971 0.81671916
##  [8677] 0.84920475 0.74493603 0.39530701 0.33830462 0.80953791 0.35965867
##  [8683] 0.77135322 0.49539815 0.65293798 0.18342083 0.15323663 1.71241655
##  [8689] 1.06841977 0.54950273 0.67837105 0.40429650 0.22563766 0.15824482
##  [8695] 1.38233863 0.47761219 1.42945097 1.44910669 1.17454828 1.03689268
##  [8701] 0.31948633 1.01879464 0.31073355 0.94267121 1.10995704 0.30550462
##  [8707] 0.80114384 1.06116457 0.76073831 0.37109623 1.10465328 1.04595978
##  [8713] 0.89474991 1.17162494 0.45868774 2.48341519 1.10293188 0.99275303
##  [8719] 0.50970942 1.17393161 0.44278899 0.48598964 0.57629413 0.33021402
##  [8725] 1.23844894 0.24558882 1.24136652 0.58129498 1.19029358 1.08192677
##  [8731] 0.51018868 0.92763132 0.55396128 1.20057171 1.15440956 1.34158752
##  [8737] 0.94587382 0.86434895 0.75431601 0.51511155 0.52341066 1.33213183
##  [8743] 0.77615517 0.20615837 1.72186210 0.61149148 1.13476381 0.96867384
##  [8749] 0.70519951 0.57373714 1.03571865 0.73566612 1.37902429 0.52808462
##  [8755] 0.36308746 0.35957488 0.56103485 0.28185505 0.73400165 0.41012569
##  [8761] 0.42717900 0.65454034 0.94419853 1.17360828 0.22920141 0.59836533
##  [8767] 0.75258913 0.52654416 0.88698676 0.60151888 0.73121715 0.78796876
##  [8773] 0.76936402 0.38814278 0.24680020 0.54731182 1.13585418 0.55238632
##  [8779] 1.00176031 0.60121707 0.76142014 0.60610206 1.81039411 0.56972016
##  [8785] 1.27721645 0.65248224 1.12905675 1.23559636 0.64901007 0.41798191
##  [8791] 2.07551614 1.07843195 0.43974091 0.58209045 1.38829670 1.09164431
##  [8797] 0.43133937 0.39972542 1.15424673 1.16878333 0.11930543 0.43545327
##  [8803] 0.74121875 0.71209095 1.20655378 1.06752260 0.45837190 1.77376305
##  [8809] 0.94651323 1.15374227 0.54851129 0.47302223 0.76569634 1.01313933
##  [8815] 0.76237245 1.19908576 0.54558741 0.47338249 0.51284677 0.46388112
##  [8821] 0.57520387 1.11460007 0.55885547 0.65232792 0.69728552 0.75147403
##  [8827] 1.09466801 0.92821113 0.59821867 0.33437620 1.75049269 0.91795146
##  [8833] 1.02926144 0.45232361 0.64554001 1.31224877 1.31420741 1.05687132
##  [8839] 1.45977854 1.01460047 1.25987245 0.63537196 0.89108755 0.63999870
##  [8845] 0.41986513 1.05658485 0.31957409 0.79925692 0.70645082 0.36812932
##  [8851] 1.04435812 1.13845618 0.91820247 1.11601464 0.72896006 1.27140353
##  [8857] 0.08908668 0.66087239 0.46042263 0.47183119 0.70168894 0.24296754
##  [8863] 0.84642792 0.74316862 0.76885971 0.56114084 0.68551321 0.16387695
##  [8869] 1.45486394 0.56366685 0.51227470 0.47647299 0.67196152 0.85079675
##  [8875] 0.10018837 1.05446725 1.18052216 0.56214534 0.25374307 1.98392838
##  [8881] 1.13532398 1.66300375 0.54591503 1.21951688 0.58342916 0.18710770
##  [8887] 0.64336941 0.38692361 0.22380570 0.76797303 0.40660984 0.77382916
##  [8893] 0.31457306 0.76076737 0.99296770 0.93852368 0.70042772 0.90053825
##  [8899] 0.32148269 0.24141286 1.65456358 1.14471186 1.53261695 0.73741287
##  [8905] 0.71123143 1.08470673 0.69678392 0.54131084 0.60410009 0.90569060
##  [8911] 0.77833010 0.33790377 0.95672749 0.67893999 0.73775472 0.14533779
##  [8917] 0.44320363 0.26499473 0.46223371 0.77542526 1.31143057 0.55743108
##  [8923] 0.35484351 1.14459428 0.59550681 0.51488122 0.27316328 0.93562836
##  [8929] 1.23450429 1.26931286 0.61501369 0.50724870 1.37317530 0.49055960
##  [8935] 0.69810845 0.64282685 0.69837449 0.94436755 0.88649164 0.59267248
##  [8941] 0.82870936 0.96233810 0.62677021 0.87258007 0.42419158 0.56709850
##  [8947] 0.68815063 0.70839594 0.29960575 1.88523233 0.69166199 1.47902261
##  [8953] 1.21064454 0.89724694 0.36316842 0.75336978 0.93521254 1.09779966
##  [8959] 0.31704578 1.02106948 0.48103984 0.47446258 1.27035918 1.11151877
##  [8965] 1.62474702 0.45457152 0.57005090 1.16094853 0.47364299 0.70188227
##  [8971] 0.73208806 1.42657607 0.66216537 1.10760206 0.82075227 0.81657883
##  [8977] 1.67822240 1.82049715 0.69615945 0.44912778 0.30819671 0.51892788
##  [8983] 1.38337811 0.43402139 0.35790780 1.92959150 0.96128091 0.39924656
##  [8989] 0.62823058 0.40754414 1.41061522 0.92445554 1.84428245 0.65018916
##  [8995] 1.12704670 0.78800565 0.89600807 1.36660279 0.38138612 1.54771143
##  [9001] 1.29421858 0.46749252 0.58389214 0.83360933 0.25111905 0.61983792
##  [9007] 0.97714394 0.49803366 0.43710616 0.76041319 0.19859618 0.37927199
##  [9013] 0.37003686 1.32960160 0.67393860 0.89511470 0.45453120 0.80705667
##  [9019] 0.99870668 0.52686457 1.21019191 1.07498734 0.71851457 2.21521351
##  [9025] 0.97467902 0.95443053 0.48207369 1.23447359 0.84321119 0.15137845
##  [9031] 0.33360077 0.55812406 0.75714932 0.40395712 0.56737592 0.57518743
##  [9037] 0.85717618 1.39293872 1.03076256 1.43468983 0.70369624 0.20649795
##  [9043] 1.37308961 1.27534128 0.74348090 0.34675249 1.17034188 1.06156793
##  [9049] 0.55388290 0.28467510 1.18608578 0.40782337 0.33850001 0.43296185
##  [9055] 0.80877501 0.35975463 0.43307873 0.84492936 0.79220728 0.55018412
##  [9061] 0.42690618 0.86234762 0.75532576 0.40845019 1.26403349 0.12988967
##  [9067] 0.40011465 0.77910831 1.02073528 0.33693324 0.34491484 0.87236494
##  [9073] 0.55547598 1.22335338 1.89332892 1.10989443 1.49693964 0.37901556
##  [9079] 0.56930059 0.34957440 0.65207870 0.78769358 1.17727637 1.72877725
##  [9085] 1.44106234 0.38946443 1.77390825 1.41904977 0.87084515 0.31090474
##  [9091] 0.44584159 1.49577800 1.00462528 0.13184402 0.38482966 0.49345723
##  [9097] 1.47879498 1.20277320 0.96443252 0.61475911 1.35890578 0.86325721
##  [9103] 0.66526034 0.31479313 0.68771461 1.14363616 0.58679121 1.30370608
##  [9109] 1.34805682 0.59699965 1.07300119 0.64090343 0.58645976 1.10680212
##  [9115] 0.93885434 0.80117987 0.32150937 0.92906673 0.68006903 0.24779292
##  [9121] 0.72502775 0.76503089 1.47572788 1.31427832 0.29456581 0.68065477
##  [9127] 0.29836590 0.57425190 1.20151476 0.78535378 0.89750368 0.34864490
##  [9133] 0.16715706 0.99812123 0.99415768 0.16578181 0.40424169 0.97408229
##  [9139] 0.54965618 0.49136252 0.91217105 1.05756981 0.57219532 0.38999234
##  [9145] 0.59495471 0.26067319 1.70459563 0.37289375 1.30437355 0.69161802
##  [9151] 0.97525356 0.43024527 0.15543105 0.97179674 0.48408514 1.00620478
##  [9157] 0.84551631 0.39190913 0.70715499 0.25073213 0.59676510 0.92364523
##  [9163] 0.55393111 0.80170661 0.31842128 1.20830341 0.99451524 0.69966598
##  [9169] 1.06591947 0.66888036 0.38163090 0.52081026 0.43735962 0.18621111
##  [9175] 0.11898104 1.38766133 0.73405299 0.44925207 0.88822700 1.10812884
##  [9181] 0.60142269 0.51657146 0.36012453 1.03507762 0.84428366 0.70764063
##  [9187] 0.63762482 0.84226287 0.90912376 1.05609768 1.91028699 0.20797353
##  [9193] 1.02756537 0.56413022 0.96872158 0.21154799 0.64869000 0.98630994
##  [9199] 1.36424048 0.79580894 0.48347846 0.26633373 0.62203820 1.47944220
##  [9205] 0.69189895 1.18246248 0.32756302 1.43428972 0.70012298 1.63718528
##  [9211] 0.19895488 0.29402266 0.31447794 1.43398710 0.51798592 0.64522985
##  [9217] 0.74080933 0.83453415 0.29008935 0.87811567 0.94809573 0.62285138
##  [9223] 0.35751311 0.67099873 0.81065929 0.92070214 0.32416634 0.80826964
##  [9229] 0.67721036 1.30616367 0.52328497 1.18731612 1.75653838 0.66500211
##  [9235] 1.06590800 1.72038652 0.44749828 0.42525051 0.42801264 1.10480263
##  [9241] 0.74086783 1.16410852 0.58935214 0.44225914 0.89340079 1.10083385
##  [9247] 0.71529831 0.45997028 0.69220117 0.50011785 0.47281938 0.86415938
##  [9253] 0.82124200 0.65814820 1.47421291 1.11552056 0.91458238 0.27852887
##  [9259] 1.17675015 0.36092534 0.78806727 0.51758166 0.75328610 0.38381881
##  [9265] 0.52316320 0.76604340 0.67485732 1.43093801 0.35883000 1.24411583
##  [9271] 0.33566147 0.36553994 0.40197568 1.21862765 0.81261485 0.83719033
##  [9277] 1.13488954 1.08816778 0.53862739 0.64568652 0.51882882 0.98008677
##  [9283] 0.75577180 0.50813567 0.34269885 1.11009044 1.44102504 0.61258747
##  [9289] 0.78432705 0.59266987 0.39291514 0.42641341 0.31203296 0.41452195
##  [9295] 0.53096279 0.27200532 1.34305798 1.84254408 0.77461846 1.33744884
##  [9301] 0.64334359 0.89654680 0.48468076 1.77775759 1.01616480 0.65482629
##  [9307] 0.33075706 0.76205665 1.20280748 0.56807932 0.86200941 1.82876303
##  [9313] 0.54842822 0.46704378 0.90163722 0.75892300 1.30592690 0.94000256
##  [9319] 0.44631662 1.35435213 0.39629063 1.41231118 1.20067623 0.92149313
##  [9325] 0.41909234 0.97989536 0.98695176 0.29209364 0.82979857 0.49509077
##  [9331] 0.84074289 1.34134196 1.15437628 0.92797911 1.09799555 0.62492124
##  [9337] 0.91880190 0.76889371 0.73391739 0.30406963 0.11470273 1.06386000
##  [9343] 1.04565301 0.79951590 0.64693580 0.53438360 0.23692718 0.52908360
##  [9349] 0.86027267 0.54022056 0.96093001 1.23214783 1.06747412 1.15409250
##  [9355] 1.54561188 1.00842835 1.06351756 0.54415192 0.91226518 0.62671779
##  [9361] 0.77090577 1.21953988 0.88098361 0.90080110 1.51866168 0.84138670
##  [9367] 1.29771778 0.56389926 0.43653017 1.19531511 0.81209776 1.14889262
##  [9373] 0.79744191 0.39624740 1.49509230 1.06525343 1.43817596 0.88076446
##  [9379] 1.16698760 0.77764152 1.11011159 0.66337466 1.17731876 0.86982103
##  [9385] 0.23080051 0.32034654 0.81362406 0.52633554 0.48238269 1.14391422
##  [9391] 0.20151402 0.34094351 0.68129146 0.70627361 0.63760094 0.84696309
##  [9397] 0.50245213 1.78021864 0.38888295 0.39919794 0.35611631 0.97562918
##  [9403] 1.23670132 0.57260128 0.40210445 0.69910902 0.46577540 0.37804935
##  [9409] 0.70262569 0.11825415 0.52026749 0.21499847 0.68856901 1.52005605
##  [9415] 0.36448797 1.70366003 0.28053958 1.03988782 0.42948873 0.83750724
##  [9421] 0.67935212 0.53320084 1.67744984 1.17873783 0.83241989 0.68022603
##  [9427] 0.22410608 0.26851933 0.23625066 1.66879840 0.63375094 0.44840376
##  [9433] 0.54508011 1.49258579 0.63908831 0.37580163 1.71586597 0.80335121
##  [9439] 0.43555856 1.67810467 0.56356681 0.94780240 0.65805656 0.69203624
##  [9445] 0.26253431 0.42838652 0.70213850 0.54455988 1.11583570 0.97850697
##  [9451] 0.60654786 0.58323819 0.70680961 0.59749704 0.37323522 0.97575313
##  [9457] 1.05144007 1.35351277 0.69190398 2.10277445 0.71362963 0.79643153
##  [9463] 0.52202707 0.36265657 0.74279052 0.48854482 0.92654968 1.25255623
##  [9469] 1.72604161 0.20948811 0.97092289 0.90527016 0.43449715 0.81343834
##  [9475] 0.65143641 0.53734775 0.89218956 1.30001884 0.69658717 0.45734051
##  [9481] 0.75509335 1.07118005 0.39034423 0.74935825 0.56218715 0.35585047
##  [9487] 0.95447410 1.35608459 0.43432484 1.37114834 0.53291664 1.31634956
##  [9493] 0.27922380 0.76822710 0.39945714 0.95731262 0.36740795 1.59020781
##  [9499] 0.45102173 0.63636944 0.61613034 0.55846377 0.51167648 0.96560022
##  [9505] 0.80270677 0.55906938 0.71819092 1.38407646 0.52779017 0.63783300
##  [9511] 1.11947873 0.93388072 0.53963694 0.48941274 1.32821186 2.06437496
##  [9517] 0.29613186 1.51284078 0.80276134 1.50650534 0.64420039 0.18862572
##  [9523] 1.46908431 2.00944528 0.80682762 1.64570373 0.94157546 0.56543570
##  [9529] 0.93807419 0.53131191 0.80840128 0.44210805 0.23107609 0.19645649
##  [9535] 0.42200202 1.48652237 0.38024548 0.20300140 0.44937113 0.85982838
##  [9541] 0.85099761 0.30627726 0.27475246 1.50686014 0.65613873 0.49468522
##  [9547] 0.41526909 0.94137671 0.90770051 0.70617138 0.40759709 1.09778155
##  [9553] 0.55792389 0.43100566 0.50851126 0.26070123 0.84400465 0.48150322
##  [9559] 0.89925409 0.28579920 0.52255146 1.01596906 1.12024543 1.20302271
##  [9565] 0.63683830 1.32429511 1.18968076 0.73723656 0.15372424 1.50906061
##  [9571] 0.27490819 0.79707370 1.49191478 0.66006915 0.36711425 1.00410150
##  [9577] 1.24533339 0.81440259 0.71018087 0.64403988 0.74693825 0.36681760
##  [9583] 1.47473769 0.53713785 0.89427438 0.95283516 0.73684806 0.65591454
##  [9589] 1.03911741 0.35034749 0.80920243 1.49066158 1.86658904 0.57939206
##  [9595] 1.10453906 1.49814946 1.12068968 1.17088496 0.44306648 1.32004878
##  [9601] 0.36589963 0.47406968 0.85972430 0.31166085 0.56275070 0.40365486
##  [9607] 0.94694170 0.81428705 0.94440608 0.37323289 2.03916023 0.83896567
##  [9613] 0.71801241 0.87920121 1.12889153 0.99770771 0.25179893 1.00889241
##  [9619] 0.95954486 0.43985908 1.68449438 0.29812745 0.75221257 0.46354319
##  [9625] 0.60719198 0.86877762 0.78339245 0.39246405 0.46129684 0.55823110
##  [9631] 0.58174739 2.13754971 0.73448881 0.79290789 0.92887822 1.04760590
##  [9637] 0.37050169 0.99902335 0.92456095 0.90207649 0.89052936 0.76734154
##  [9643] 0.85790617 0.78586144 1.47861656 0.14496648 0.93731134 0.54424031
##  [9649] 0.70198128 0.74752559 1.77735749 0.47974746 0.39358750 0.35334555
##  [9655] 0.65981495 0.23442826 0.45137758 1.38213666 0.77112138 0.09579511
##  [9661] 0.93407638 1.53736052 0.54931159 0.24816879 1.90944662 1.29613427
##  [9667] 0.74111019 0.82143799 1.13185136 0.72920024 1.20836745 0.57618808
##  [9673] 0.73639433 0.78369787 0.76358614 0.32609985 0.51806680 1.04734636
##  [9679] 1.29960655 1.16466202 0.95572196 0.56989562 1.72529120 1.09996778
##  [9685] 0.89329762 0.64803676 0.68731805 0.23158213 1.23827664 0.61373724
##  [9691] 0.39473394 0.49548581 1.58309004 0.85898124 0.50767635 1.05524404
##  [9697] 0.45154768 0.65713660 1.31098424 0.83018590 0.89214229 0.78930054
##  [9703] 0.43369649 0.32524741 0.77451788 2.05509809 0.70198922 0.39949822
##  [9709] 0.25369805 0.39470652 0.47056589 0.43801547 1.13277793 0.81548401
##  [9715] 0.65096096 0.31805554 0.34815202 1.33251767 1.52147447 0.59449428
##  [9721] 0.32607999 1.61442651 0.90022465 0.67864738 0.47579734 0.29330674
##  [9727] 0.93320183 1.96481550 0.88152031 1.28209069 0.91204706 0.43504709
##  [9733] 1.34711171 0.42607968 0.58500702 0.41970243 0.32004630 0.45073803
##  [9739] 1.58474388 0.42224634 0.34893664 1.25732889 0.28396302 1.53015575
##  [9745] 0.24805015 0.59882212 0.53431265 0.90005175 0.36441472 1.64867541
##  [9751] 1.10463311 1.16489671 0.42531767 0.31353702 0.71120322 0.76460471
##  [9757] 0.76991938 0.88087625 0.65881200 0.61742944 0.42725728 0.44203918
##  [9763] 0.87203329 0.67939522 0.75475674 1.46721127 0.53022580 0.47386397
##  [9769] 0.83584276 0.58834782 0.78792576 1.35475049 0.38583700 1.29766902
##  [9775] 1.25602391 1.11680634 1.29095904 0.94045265 1.22964141 0.48890861
##  [9781] 0.74125979 0.49465361 0.74137924 0.83052317 0.33074814 0.68921895
##  [9787] 0.75125187 0.39850316 0.82729148 0.82547128 0.99349965 0.36553326
##  [9793] 0.85755161 0.88230508 1.44580775 0.90056064 1.49863556 0.87619585
##  [9799] 0.42942722 1.26805682 0.91522087 0.63279949 0.88072700 1.41087504
##  [9805] 0.87755251 0.43147714 1.88743553 0.89509750 0.59819209 0.58376238
##  [9811] 1.18506955 0.41318329 1.06003432 0.11690514 0.77742322 0.73432407
##  [9817] 0.16008048 0.42771883 1.46914916 0.40267636 0.83421503 0.44699035
##  [9823] 0.57908355 0.57138823 1.19206717 0.26184378 0.54158839 0.67245639
##  [9829] 0.61376132 0.90901927 0.80726294 0.61183948 0.54503068 0.61176169
##  [9835] 1.43141054 0.78319974 0.75835296 0.81313442 1.09219607 0.53959744
##  [9841] 1.03579997 0.87934077 0.50506349 1.05952028 1.38616873 1.32915173
##  [9847] 0.41758965 0.52787577 0.51884247 0.74913852 1.24325228 1.67628384
##  [9853] 1.00414104 0.58151429 0.33645495 0.92642074 1.36025422 0.29163119
##  [9859] 1.39941448 0.96987790 0.60954000 0.90709378 0.45131396 0.78596916
##  [9865] 1.28745859 1.09068494 0.77148110 0.55575003 1.10130399 0.79095916
##  [9871] 0.44036501 0.33590005 1.66146229 1.40667880 0.26559080 1.47819809
##  [9877] 0.65936022 1.02864881 0.68511067 0.36635975 0.58890165 0.35477266
##  [9883] 1.16384127 2.08217710 0.51783664 0.55505655 0.68440558 1.57240392
##  [9889] 0.87514584 1.77551851 1.58038482 0.89059303 0.63931030 1.35694058
##  [9895] 0.66964424 0.48210917 0.65279154 0.79884084 0.53341605 0.85333315
##  [9901] 0.43237567 1.62291732 0.34158316 0.81302457 0.99164727 0.21430235
##  [9907] 0.10251626 1.16033556 0.43084374 0.71315743 0.31922482 0.98592594
##  [9913] 0.88056453 1.40759608 0.85278374 0.45796779 0.65645557 0.54133421
##  [9919] 1.18055335 0.82150912 1.08432075 1.20161111 0.23644948 0.75604318
##  [9925] 1.03176419 0.18901355 0.75049204 0.41865853 0.28193034 0.82370783
##  [9931] 1.40399788 1.13592963 0.29054633 1.03926987 0.29654580 0.71154162
##  [9937] 0.64225034 0.64994201 0.67045424 0.46756517 0.75396842 1.37429962
##  [9943] 1.78960702 0.79677631 0.55875315 0.28564342 0.45740004 1.23825382
##  [9949] 0.65345518 1.64792620 0.80481262 0.38539398 0.66055823 0.37595893
##  [9955] 0.91057087 0.46770114 0.19624409 1.11148960 0.50822779 0.65574131
##  [9961] 0.81991633 0.61383953 0.34174287 0.45571942 0.47704033 0.33877368
##  [9967] 0.73366934 0.26490228 0.58651013 0.73235581 1.11979999 0.65108295
##  [9973] 1.38941256 1.24784272 0.25173298 0.90836167 0.71850609 1.29973535
##  [9979] 0.25687804 0.87473660 1.33970716 0.85508922 0.44070551 0.60546644
##  [9985] 0.87725772 1.23788184 0.63802113 1.68347292 0.46850186 1.29259218
##  [9991] 0.54542562 0.86931201 0.30936058 1.08915200 0.84372795 0.69018980
##  [9997] 0.39989317 0.39702442 1.17189184 1.13327201

Probability Density 3: Z~ Exponential.

Then generate 10,000 observations from a single exponential pdf with rate/shape parameter (λ).

In this code, the rexp() function generates 10,000 observations from a single exponential distribution with rate parameter lambda. The function returns a vector z containing 10,000 observations from the exponential distribution.

The expected value and variance of z are given by 1/lambda, which in this case are 0.2 and 0.04, respectively.

set.seed(0)
n = 4
λ = 5
# rexp(10000,λ)
Z <- rexp(10000,λ) 
print (Z)
##     [1] 3.680732e-02 2.914135e-02 2.795905e-02 8.721373e-02 5.789937e-01
##     [6] 2.459124e-01 1.079366e-01 1.913135e-01 2.940920e-02 2.781470e-01
##    [11] 1.524060e-01 2.475207e-01 8.847868e-01 2.109086e-01 2.070488e-01
##    [16] 3.752070e-01 1.309493e-01 6.738670e-02 1.176959e-01 4.729031e-01
##    [21] 1.283785e-01 5.882408e-02 1.131731e-01 2.121452e-02 1.188783e-02
##    [26] 1.157425e-01 7.917866e-01 2.346624e-01 1.993626e-01 2.870571e-01
##    [31] 7.453705e-03 6.480203e-02 2.640936e-01 4.070207e-02 2.045452e-01
##    [36] 6.034819e-02 1.450429e-01 1.503085e-01 4.700549e-02 2.159762e-01
##    [41] 2.056494e-01 2.584523e-01 2.506211e-01 1.109283e-01 6.025660e-02
##    [46] 2.586249e-01 1.989112e-01 1.028349e-01 4.015665e-01 8.444849e-02
##    [51] 4.357545e-01 6.435578e-01 1.115659e-01 1.189235e-01 1.954792e-01
##    [56] 4.197332e-02 6.188957e-02 2.211873e-01 1.548376e-01 1.793482e-02
##    [61] 2.216353e-01 4.945285e-02 3.143974e-01 9.665625e-01 8.622643e-02
##    [66] 5.460779e-01 2.273663e-01 1.626736e-01 1.674013e-01 3.569531e-01
##    [71] 4.624943e-01 5.819775e-01 5.711820e-02 7.775735e-02 1.041109e-02
##    [76] 7.037410e-02 3.130483e-01 1.629072e-01 5.518488e-01 7.723871e-02
##    [81] 2.016513e-01 1.637028e-01 1.185224e-02 4.567707e-01 1.608342e-01
##    [86] 3.167392e-01 2.467583e-01 2.691288e-01 4.200754e-01 2.070194e-01
##    [91] 8.949038e-02 2.087217e-01 5.216565e-02 1.362458e-01 5.274765e-02
##    [96] 8.932113e-02 4.212138e-02 2.651428e-02 6.977767e-02 3.799687e-01
##   [101] 1.032412e-01 8.979956e-02 7.591994e-02 2.497535e-01 5.386823e-01
##   [106] 3.926436e-02 4.599674e-01 1.131405e-01 1.526360e-01 3.145433e-01
##   [111] 3.671282e-01 7.430455e-03 2.511317e-02 2.839098e-01 1.437235e-01
##   [116] 8.717411e-02 1.388247e-02 4.273839e-02 5.983178e-02 4.713113e-02
##   [121] 1.486087e-01 3.419852e-01 1.963639e-01 4.050083e-03 4.238004e-02
##   [126] 6.518674e-01 2.729144e-01 1.822177e-02 2.382189e-01 5.256809e-02
##   [131] 2.506926e-01 7.585114e-02 7.576536e-02 2.196025e-02 1.811115e-01
##   [136] 3.134158e-02 1.976912e-02 4.147401e-01 1.570242e-01 1.056320e-01
##   [141] 2.058633e-01 4.502305e-01 2.369228e-01 4.396559e-02 1.610023e-01
##   [146] 1.150162e-01 8.098501e-02 3.413031e-01 4.221524e-01 1.018822e-01
##   [151] 4.816401e-02 3.485817e-01 5.696324e-01 3.847941e-01 1.443655e-01
##   [156] 3.672298e-01 1.424815e-01 1.092431e-02 6.648547e-03 2.990641e-01
##   [161] 1.958231e-01 3.249895e-01 2.888239e-01 2.954771e-01 4.533373e-02
##   [166] 5.332294e-01 4.228807e-01 6.948489e-02 5.194334e-01 1.906455e-01
##   [171] 3.594200e-01 1.253741e-01 4.349175e-01 2.589892e-01 3.030898e-01
##   [176] 3.865547e-01 1.365407e-01 8.796560e-02 1.523991e-01 1.501515e-01
##   [181] 4.988568e-02 6.584730e-02 1.886212e-01 2.631811e-01 1.084335e-01
##   [186] 1.529319e-01 1.048606e-01 4.070237e-02 4.627736e-01 2.295869e-01
##   [191] 1.603546e-01 2.446145e-02 2.460725e-01 7.046562e-02 1.540645e-01
##   [196] 1.624460e-01 9.016211e-02 1.474743e-01 1.140078e-02 1.512461e-02
##   [201] 2.052518e-01 1.349666e-01 1.601093e-01 3.481406e-02 1.346929e-01
##   [206] 4.435812e-01 8.111150e-02 7.952981e-02 1.992009e-01 3.074992e-02
##   [211] 2.748022e-01 2.054461e-01 2.456438e-02 2.168530e-01 3.218437e-02
##   [216] 1.326687e-01 4.363116e-01 3.070620e-01 2.146691e-02 2.172711e-01
##   [221] 6.392841e-02 1.880473e-01 2.198882e-01 3.138120e-01 6.355104e-02
##   [226] 3.733708e-01 1.244682e-01 8.947630e-02 2.349151e-01 1.124070e-01
##   [231] 9.172040e-01 4.954696e-02 9.905403e-02 1.171636e-01 8.234360e-02
##   [236] 1.813346e-01 7.800490e-02 1.291173e-01 2.099865e-01 3.063254e-01
##   [241] 2.142194e-01 2.632403e-01 4.888835e-01 1.162247e-01 1.004518e-02
##   [246] 1.514597e-02 5.520488e-01 1.206751e-01 9.585670e-02 6.882714e-01
##   [251] 1.443865e-01 1.738229e-01 3.401949e-04 4.389957e-02 1.500287e-01
##   [256] 2.771083e-01 2.318803e-01 9.708591e-03 5.133065e-02 3.031550e-01
##   [261] 6.346680e-01 9.003971e-03 1.388974e-01 1.473732e-01 2.260845e-02
##   [266] 2.025231e-01 5.505639e-02 4.491755e-01 2.076486e-01 1.041253e-01
##   [271] 3.259008e-01 8.157222e-02 9.003261e-04 3.809067e-01 1.266257e+00
##   [276] 7.842348e-01 2.278050e-02 2.579115e-01 1.987989e-01 1.384983e-01
##   [281] 6.313430e-01 6.322302e-02 6.533709e-02 1.943858e-01 7.383421e-02
##   [286] 1.126843e-03 9.110680e-02 8.663579e-02 3.771411e-01 5.842691e-02
##   [291] 1.679171e-02 2.068860e-01 5.516349e-02 1.316804e-01 8.359008e-02
##   [296] 2.174697e-01 2.825835e-01 2.490922e-01 1.051777e-01 8.407057e-02
##   [301] 7.316388e-01 4.218796e-01 2.081321e-01 3.551030e-01 4.870931e-02
##   [306] 2.569043e-01 4.557356e-02 3.926936e-01 4.684672e-01 2.479524e-02
##   [311] 9.308721e-02 1.529924e-03 5.302640e-02 5.168352e-01 6.723007e-01
##   [316] 1.284649e-01 1.317297e-01 6.189315e-02 2.897834e-01 2.120774e-01
##   [321] 9.254863e-02 3.348999e-02 5.764289e-02 1.632296e-01 2.195834e-02
##   [326] 1.402373e-01 5.179372e-01 1.310871e-01 1.012220e-02 6.709905e-02
##   [331] 2.652516e-01 1.370360e-01 9.492219e-02 2.172090e-01 4.890537e-03
##   [336] 3.857938e-02 2.708838e-01 4.619588e-01 1.121955e-02 7.672802e-02
##   [341] 3.676371e-01 5.942038e-02 1.912910e-01 2.515087e-01 3.132285e-01
##   [346] 9.992867e-02 4.860703e-02 1.478460e-02 2.155591e-01 1.322424e-02
##   [351] 1.551772e-02 8.588718e-02 2.632618e-01 3.217199e-01 2.108156e-01
##   [356] 5.066194e-02 5.839966e-01 1.072994e-01 2.956390e-01 1.985215e-01
##   [361] 4.843052e-02 1.434152e-01 5.395032e-02 1.900448e-01 1.899909e-01
##   [366] 1.314137e-01 1.521886e-01 4.235700e-01 7.578295e-02 6.722024e-02
##   [371] 4.182357e-02 4.004317e-01 1.169515e-01 2.815226e-01 7.404300e-02
##   [376] 9.369323e-02 2.281448e-01 2.525221e-01 2.707496e-02 5.203751e-01
##   [381] 3.873134e-01 3.522656e-02 1.006017e-01 5.154183e-02 6.039587e-01
##   [386] 3.517117e-02 2.764856e-02 6.856333e-02 1.072578e-01 8.899310e-03
##   [391] 1.312300e-01 1.083848e-02 7.019300e-04 2.746081e-01 2.284681e-01
##   [396] 4.542438e-01 1.112725e-01 3.073185e-01 6.210460e-03 3.889619e-02
##   [401] 2.337210e-03 2.475091e-01 1.402597e-01 4.700953e-01 2.949702e-03
##   [406] 1.280686e-01 3.935817e-02 2.161663e-01 3.456033e-01 6.564147e-02
##   [411] 1.003529e-01 7.062751e-02 5.920538e-02 4.502783e-01 2.122173e-01
##   [416] 8.488982e-02 8.979623e-02 1.553041e-01 1.424415e-01 3.117578e-01
##   [421] 2.767056e-01 1.068549e-01 1.014448e+00 4.143828e-02 3.639538e-02
##   [426] 4.624754e-02 1.457821e-01 1.926817e-02 1.004888e-01 6.794532e-01
##   [431] 8.598648e-02 1.767850e-01 1.654112e-01 1.319509e-01 4.923535e-01
##   [436] 6.275233e-01 2.176221e-01 1.693440e-02 4.378435e-02 1.557271e-01
##   [441] 4.056284e-01 2.439352e-01 1.554690e-01 7.032325e-02 1.564523e-01
##   [446] 1.652876e-01 3.394241e-01 1.108580e-01 3.304105e-01 2.466906e-02
##   [451] 3.410847e-01 2.610759e-02 9.087241e-02 6.619046e-02 1.281120e-01
##   [456] 7.057835e-01 3.936096e-03 4.110732e-01 6.550073e-02 3.419231e-01
##   [461] 4.817117e-02 1.724946e-01 1.449564e-01 6.020321e-01 7.180228e-03
##   [466] 5.009813e-02 3.488088e-01 2.172412e-01 4.774226e-03 9.804405e-02
##   [471] 1.572336e-01 7.084244e-02 2.169874e-01 4.396384e-03 2.214981e-01
##   [476] 2.483283e-01 2.241872e-01 5.319741e-02 3.364994e-02 8.683634e-02
##   [481] 2.177863e-01 2.171334e-02 9.718897e-02 1.278793e-01 4.971963e-03
##   [486] 2.322080e-01 1.831866e-01 9.113218e-02 7.989151e-02 1.079292e-01
##   [491] 2.593042e-01 3.072186e-02 4.602385e-01 7.008149e-02 1.864754e-02
##   [496] 1.440705e-01 5.773241e-02 8.622688e-02 2.199628e-01 7.040424e-03
##   [501] 5.017831e-03 8.816631e-02 2.801717e-01 7.672065e-02 5.764018e-01
##   [506] 4.168039e-01 2.567943e-01 1.492714e-01 2.757863e-01 3.102079e-02
##   [511] 9.220856e-01 1.455113e-01 2.413506e-01 2.043934e-01 1.246663e-01
##   [516] 2.325880e-01 3.251103e-02 2.031639e-01 1.316907e+00 4.264546e-01
##   [521] 4.909344e-01 9.673854e-01 2.072259e-01 4.210609e-01 8.768145e-01
##   [526] 3.358127e-01 1.327596e-01 1.067371e-01 1.568537e-01 3.783202e-01
##   [531] 2.855628e-01 3.420091e-01 4.494495e-01 6.289875e-01 8.984509e-03
##   [536] 1.156926e-01 7.790134e-02 4.289317e-01 7.230063e-01 1.604777e-01
##   [541] 8.157673e-02 4.509075e-02 5.432155e-03 8.969788e-02 1.697655e-01
##   [546] 7.794418e-04 2.231956e-01 3.149497e-01 1.006183e-01 6.414804e-02
##   [551] 1.882586e-01 4.101213e-01 7.310885e-03 1.962799e-01 1.027616e-01
##   [556] 1.298263e-02 3.619086e-01 5.688583e-02 3.638083e-02 2.601927e-02
##   [561] 8.831811e-01 2.269767e-01 1.560592e-01 1.805745e-01 3.269755e-01
##   [566] 7.483069e-02 1.591909e-01 4.286661e-01 8.035662e-01 4.496930e-02
##   [571] 7.864350e-02 1.204568e-01 2.976273e-01 3.329146e-01 2.605011e-02
##   [576] 1.769361e-02 2.011558e-01 1.853954e-02 1.107336e-01 5.437994e-02
##   [581] 1.643385e-01 3.832740e-01 1.510588e-01 1.232352e-02 7.394436e-02
##   [586] 2.452562e-01 5.420419e-03 1.802013e-03 3.139302e-02 1.357216e-01
##   [591] 6.177799e-02 1.177256e-02 4.110152e-02 2.894059e-01 1.513582e-01
##   [596] 1.063656e+00 1.278407e-01 3.567176e-01 1.372322e-01 3.439983e-01
##   [601] 1.056078e-01 7.575235e-03 1.567777e-01 2.131919e-01 8.203014e-02
##   [606] 3.661412e-02 1.852611e-01 5.833675e-02 3.913407e-01 2.243737e-01
##   [611] 5.207233e-03 2.116422e-02 3.380406e-01 4.573874e-02 6.545776e-04
##   [616] 3.782491e-01 2.648013e-01 3.295522e-02 1.857727e-01 1.450120e-01
##   [621] 1.394469e-02 2.607678e-01 3.384447e-01 1.008763e-01 2.610192e-01
##   [626] 2.278108e-02 4.724300e-01 5.377220e-01 3.383911e-01 1.262556e-02
##   [631] 2.229087e-02 3.060534e-02 1.115805e+00 4.767704e-02 2.606342e-01
##   [636] 7.013013e-02 7.457450e-01 2.088860e-01 2.301749e-01 5.550239e-02
##   [641] 5.651694e-01 7.847704e-02 1.262257e-01 2.969141e-03 4.731893e-01
##   [646] 1.721599e-01 1.783419e-01 8.179153e-02 1.086700e-01 9.082050e-01
##   [651] 3.517960e-02 2.674601e-01 4.341828e-01 2.768347e-01 3.168863e-02
##   [656] 7.611147e-02 8.841393e-01 7.445236e-02 1.166698e-01 2.997395e-03
##   [661] 1.850904e-01 9.488491e-02 1.824016e-01 1.098835e-01 4.839555e-01
##   [666] 1.331673e-01 1.033693e-01 3.859998e-02 1.562420e-01 2.025641e-01
##   [671] 1.522955e-02 2.634895e-01 2.387849e-01 3.604590e-01 1.512136e-01
##   [676] 6.382001e-02 1.264222e-01 2.755769e-01 3.333618e-01 1.695175e-01
##   [681] 1.208516e-01 3.400520e-01 1.159171e-01 9.685988e-03 1.946574e-01
##   [686] 1.587711e-01 1.207592e-01 5.487665e-01 1.352489e-01 4.695295e-01
##   [691] 8.702563e-02 3.453623e-02 8.113640e-01 2.941752e-01 4.857458e-01
##   [696] 1.646950e-01 2.663298e-02 2.014633e-01 5.230537e-02 1.572317e-01
##   [701] 7.493206e-02 2.964458e-01 1.240843e-01 1.050419e-01 2.019381e-01
##   [706] 4.539616e-01 5.865163e-02 1.159656e-01 2.829349e-01 2.139032e-01
##   [711] 1.922559e-01 3.556869e-01 3.170518e-01 4.527969e-02 7.138618e-01
##   [716] 4.274419e-01 1.115356e-01 2.872459e-02 2.037331e-01 1.026241e-01
##   [721] 2.835977e-01 9.655721e-02 9.332672e-02 9.789410e-02 1.563497e-01
##   [726] 9.446861e-02 4.310728e-01 1.632695e-01 2.679236e-01 5.388053e-03
##   [731] 3.509111e-02 7.067644e-01 5.211632e-02 1.274007e-01 2.186628e-01
##   [736] 2.916328e-01 4.749071e-01 2.189841e-01 4.356217e-02 7.305412e-01
##   [741] 5.883681e-01 5.573791e-02 2.604986e-01 8.083604e-02 2.579610e-01
##   [746] 7.833291e-04 5.911497e-01 1.770100e-01 7.495721e-02 1.170381e-01
##   [751] 1.019109e-01 4.269815e-01 2.940665e-01 4.717087e-01 3.693597e-01
##   [756] 2.382816e-01 2.483471e-03 1.062528e-02 1.017069e-01 1.823085e-01
##   [761] 8.952386e-02 3.318039e-01 8.023202e-03 3.306594e-01 9.381923e-02
##   [766] 3.413429e-01 1.211470e-01 8.479737e-02 1.038973e-03 2.320260e-01
##   [771] 9.678686e-02 1.048350e-01 1.472078e-01 1.425781e-01 7.153632e-02
##   [776] 1.463300e-01 1.206893e-01 1.430834e-01 2.371105e-01 1.415333e-01
##   [781] 4.054416e-01 1.058720e-02 6.329550e-03 4.012208e-02 1.388571e-01
##   [786] 3.855076e-04 6.784188e-02 7.794284e-02 1.130041e-01 2.996954e-01
##   [791] 3.384520e-01 1.038172e-01 1.531180e-01 1.342196e-01 2.057889e-01
##   [796] 3.964896e-01 7.781819e-02 3.426649e-01 4.525728e-01 5.992294e-01
##   [801] 1.384081e-01 2.374680e-01 1.252070e-02 1.017291e-01 4.235633e-02
##   [806] 1.136512e-02 3.878055e-02 4.331655e-01 1.778046e-01 3.408343e-01
##   [811] 4.482389e-01 3.666778e-01 4.586882e-01 3.535931e-01 3.103314e-01
##   [816] 2.521504e-01 3.550826e-01 5.319182e-01 3.315253e-01 1.191450e-01
##   [821] 4.208151e-01 1.899640e-01 2.275571e-02 2.222258e-01 3.064882e-01
##   [826] 2.685419e-02 2.059084e-01 4.513572e-01 1.325280e-01 1.132896e-01
##   [831] 2.065371e-02 3.627043e-02 1.295850e-01 5.275415e-02 1.420370e-01
##   [836] 2.016759e-01 3.712017e-01 1.037332e-02 2.307467e-02 2.782704e-01
##   [841] 1.620891e-01 9.751314e-02 5.273050e-02 3.670582e-01 2.410285e-01
##   [846] 2.071690e-01 6.764955e-01 2.862537e-01 3.355602e-01 5.021384e-01
##   [851] 2.615207e-01 4.202399e-01 2.480237e-02 2.078487e-01 1.625691e-02
##   [856] 5.363306e-02 2.463787e-01 9.435614e-02 1.416671e-01 2.635071e-01
##   [861] 8.470879e-01 2.358508e-01 1.223662e-01 8.346014e-01 1.346048e-01
##   [866] 2.401008e-01 2.468283e-01 6.594245e-02 3.603180e-02 7.507993e-02
##   [871] 1.688529e-01 3.596110e-02 1.957011e-01 3.406874e-01 8.589109e-02
##   [876] 1.126630e-02 2.861910e-01 1.224581e-01 4.189085e-01 2.277308e-01
##   [881] 9.291202e-02 1.887279e-01 1.846261e-01 3.076991e-01 1.793660e-01
##   [886] 3.374217e-01 1.357886e-01 6.572299e-02 2.994466e-01 1.993349e-01
##   [891] 1.325721e-01 8.686593e-02 3.162987e-01 2.756532e-01 1.961603e-01
##   [896] 7.595686e-02 8.676835e-02 9.486834e-01 5.966262e-01 5.066960e-01
##   [901] 2.576886e-01 6.167660e-02 8.458810e-02 3.440690e-01 1.236360e-02
##   [906] 2.889869e-02 6.914433e-02 1.222350e-01 1.487324e-01 3.954554e-01
##   [911] 1.383590e-02 5.536873e-01 2.458254e-01 9.908237e-02 7.831640e-02
##   [916] 5.307420e-01 4.461272e-02 7.609904e-01 5.988490e-02 5.371227e-02
##   [921] 1.172284e-01 2.635867e-01 1.413086e-01 2.740726e-01 2.401429e-01
##   [926] 5.360640e-01 1.330363e-01 2.176138e-01 3.934019e-02 9.584260e-02
##   [931] 4.422646e-01 1.849602e-02 4.016321e-02 2.899965e-01 3.724935e-03
##   [936] 2.322694e-01 1.247421e+00 6.615889e-01 5.725824e-02 6.584821e-02
##   [941] 6.313443e-02 3.385716e-01 5.205103e-01 3.325431e-02 4.847145e-02
##   [946] 3.100772e-02 1.079266e-01 6.071014e-03 9.042162e-02 1.254546e-01
##   [951] 2.277875e-01 5.067550e-01 2.986212e-02 6.189217e-02 1.288819e-01
##   [956] 2.426567e-01 2.909480e-01 3.417689e-01 1.136560e-01 2.676046e-02
##   [961] 4.619086e-02 1.179201e-01 1.939639e-01 3.198954e-01 1.229843e-01
##   [966] 1.539188e-01 1.011777e+00 2.879637e-01 2.989206e-01 6.586750e-01
##   [971] 5.715985e-01 2.479684e-02 1.564078e-01 1.850787e-01 8.049857e-02
##   [976] 1.362140e-01 4.464251e-02 6.240666e-01 7.686907e-02 1.065320e-01
##   [981] 5.258445e-01 9.920660e-02 1.063093e-03 2.642020e-01 1.155054e-01
##   [986] 1.238805e-02 6.341971e-01 5.973495e-03 6.622894e-01 5.013159e-01
##   [991] 7.533021e-02 5.774844e-01 2.438899e-01 2.445994e-01 4.622193e-02
##   [996] 2.146188e-01 1.291151e-02 1.466367e-01 2.914425e-02 7.830736e-03
##  [1001] 5.426523e-01 2.013029e-01 1.094815e-02 1.759343e-01 5.872788e-02
##  [1006] 3.971366e-02 3.255133e-02 1.436590e-01 1.223131e-01 5.410752e-01
##  [1011] 4.751000e-02 8.189351e-02 3.150004e-01 1.689428e-02 2.661606e-03
##  [1016] 4.502308e-02 7.799271e-02 3.947700e-01 4.759585e-02 2.807556e-01
##  [1021] 5.526278e-02 6.479260e-01 9.809158e-02 4.171179e-01 5.351546e-02
##  [1026] 2.368301e-01 1.608055e-01 3.532725e-01 4.031967e-01 3.008394e-01
##  [1031] 1.179864e-02 2.408837e-01 1.733741e-02 1.148044e-01 1.948803e-01
##  [1036] 1.352154e-01 2.958948e-02 5.644660e-02 1.224541e-01 8.126797e-03
##  [1041] 7.875312e-02 6.404154e-01 1.027417e-01 3.666949e-02 4.056185e-03
##  [1046] 1.421620e-01 3.696220e-02 4.737107e-01 2.027427e-01 4.251421e-02
##  [1051] 2.951656e-02 3.879535e-02 2.800686e-02 2.823404e-01 5.023313e-02
##  [1056] 1.881099e-01 3.547821e-01 2.044905e-01 3.515998e-02 2.901495e-02
##  [1061] 6.196710e-02 5.501459e-02 2.433312e-01 3.494001e-01 2.888356e-01
##  [1066] 3.861293e-01 4.549133e-01 4.200640e-02 3.089908e-01 2.513696e-01
##  [1071] 2.169542e-01 1.553192e-02 3.758574e-01 9.821741e-02 6.858163e-02
##  [1076] 3.585430e-01 4.119786e-02 2.548504e-03 3.642841e-01 1.781423e-01
##  [1081] 1.602007e-01 6.037757e-01 4.170913e-02 1.568768e-01 2.321009e-01
##  [1086] 3.185793e-01 2.842725e-01 3.759732e-02 3.306477e-01 1.051123e-01
##  [1091] 2.412126e-02 1.960270e-01 3.293077e-02 4.428719e-01 2.825761e-02
##  [1096] 2.427090e-02 2.372326e-01 1.454051e-01 5.833688e-02 1.018660e-01
##  [1101] 2.683441e-01 5.766733e-03 1.691389e-02 1.020839e-02 9.064881e-03
##  [1106] 2.827225e-01 1.632498e-01 4.376465e-01 2.529747e-01 8.796634e-02
##  [1111] 5.732099e-01 1.279975e-01 7.505447e-02 1.397589e-01 2.755144e-01
##  [1116] 2.211960e-01 1.121738e-02 9.311367e-03 1.145779e-01 4.966000e-01
##  [1121] 1.435190e-01 2.239127e-01 3.015216e-01 1.002061e-01 2.165845e-01
##  [1126] 1.227498e-01 1.400408e-01 3.718542e-02 3.272040e-01 3.575143e-01
##  [1131] 3.310993e-01 1.689159e-02 1.021152e-01 1.872501e-01 7.474238e-01
##  [1136] 7.291322e-02 1.489218e-01 2.356921e-01 1.823219e-01 3.395632e-02
##  [1141] 4.676983e-02 2.676344e-02 2.712414e-01 1.330643e-01 3.231910e-01
##  [1146] 6.345962e-02 1.257957e+00 1.949902e-01 1.740147e-03 3.454700e-01
##  [1151] 5.105365e-02 1.075626e+00 1.673126e-01 9.464923e-03 4.727151e-01
##  [1156] 9.385304e-01 4.717360e-01 2.309653e-01 2.323098e-01 1.240232e-01
##  [1161] 4.676563e-01 3.475220e-01 5.896076e-01 2.774479e-01 2.980204e-01
##  [1166] 5.923886e-02 1.787861e-01 1.691305e-01 1.030581e-02 4.649196e-01
##  [1171] 7.142153e-02 3.683784e-01 1.192178e-02 1.206715e-01 1.891792e-01
##  [1176] 7.650936e-02 1.092178e-01 1.480643e-01 7.150406e-02 2.875235e-02
##  [1181] 3.411753e-01 1.130885e-01 1.434211e+00 1.002494e-01 1.322930e-01
##  [1186] 1.903664e-01 8.481326e-02 1.399987e-01 1.861074e-01 5.865351e-02
##  [1191] 1.927101e-02 1.382176e-01 2.402527e-01 3.429288e-01 3.800557e-01
##  [1196] 4.678788e-02 4.369130e-01 3.109184e-01 1.201801e-01 1.500379e-01
##  [1201] 3.338066e-02 4.410451e-01 1.106506e-02 1.453102e-01 1.165085e-01
##  [1206] 3.954747e-02 7.078757e-01 8.017729e-01 1.363591e-01 1.997494e-01
##  [1211] 1.740676e-01 1.291592e-01 2.701074e-01 8.921599e-01 6.899314e-01
##  [1216] 9.214815e-02 4.507521e-01 4.410295e-01 5.486879e-02 2.692741e-01
##  [1221] 1.497539e-01 1.176284e-01 5.074002e-01 1.599752e-01 2.952676e-01
##  [1226] 6.539044e-02 1.640883e-02 1.130895e-01 4.257386e-01 1.135100e-01
##  [1231] 4.659819e-01 1.458660e-02 3.274454e-01 1.478900e-01 1.095165e-01
##  [1236] 3.790363e-02 5.210938e-01 3.308076e-01 8.043629e-02 1.539756e-01
##  [1241] 1.760935e-01 2.506612e-02 2.147706e-01 2.979003e-02 1.239228e-01
##  [1246] 9.044971e-01 6.999582e-02 5.657312e-02 1.231405e-01 6.890356e-01
##  [1251] 6.896249e-02 3.992141e-01 7.239893e-02 1.892167e-02 4.383110e-02
##  [1256] 1.851758e-01 3.397567e-01 2.454721e-02 7.404189e-02 1.083924e-01
##  [1261] 5.756910e-01 2.346411e-02 5.110296e-01 2.413990e-02 3.023042e-02
##  [1266] 6.700062e-03 6.321943e-02 3.535863e-02 4.716470e-01 3.270769e-01
##  [1271] 4.086188e-02 7.473243e-02 2.592908e-01 2.561023e-01 3.677077e-02
##  [1276] 3.671323e-01 4.805626e-02 1.368346e-01 8.911093e-01 2.840039e-01
##  [1281] 3.041140e-02 8.733675e-01 4.693747e-01 1.069803e-01 5.675600e-01
##  [1286] 1.099808e-01 2.537971e-01 1.139269e-01 5.678444e-01 2.315507e-01
##  [1291] 4.095604e-01 6.115166e-02 1.215472e-01 3.422721e-01 4.070486e-01
##  [1296] 2.174988e-01 1.529328e-01 5.377376e-01 2.341373e-02 7.428453e-03
##  [1301] 5.590197e-01 2.693882e-01 8.432189e-02 1.912677e-01 1.119873e-01
##  [1306] 3.834165e-02 6.114998e-02 1.018896e-01 3.548255e-02 2.321479e-01
##  [1311] 3.756410e-03 3.080255e-01 1.519531e-01 3.553723e-01 4.747425e-02
##  [1316] 1.656132e-01 9.901539e-02 2.514008e-02 2.615440e-02 5.333273e-02
##  [1321] 1.055697e-01 3.216143e-01 2.328678e-01 3.844850e-03 1.411623e-01
##  [1326] 1.237598e-01 1.712532e-02 7.610887e-02 5.950885e-02 5.085129e-01
##  [1331] 3.822783e-02 1.783574e-02 5.572510e-02 2.310474e-01 2.913199e-02
##  [1336] 5.069975e-01 3.333887e-01 1.578803e-01 8.708853e-02 2.053663e-01
##  [1341] 1.177095e-02 3.739950e-02 1.039556e-01 6.085716e-01 5.247198e-02
##  [1346] 3.498186e-01 8.290263e-02 1.504073e-01 4.729201e-01 8.528291e-02
##  [1351] 1.003256e-01 3.496197e-01 2.962310e-01 6.386133e-02 1.455182e-01
##  [1356] 1.371870e-01 1.448219e-01 2.190151e-01 3.062772e-01 1.784935e-01
##  [1361] 1.442153e-02 1.034678e-01 2.704165e-01 2.781903e-01 1.387109e-01
##  [1366] 3.199680e-01 2.329255e-02 3.794902e-01 3.837472e-01 1.392775e-03
##  [1371] 4.754472e-01 1.178786e-01 2.853889e-02 1.599155e-02 3.348466e-01
##  [1376] 2.067529e-01 3.422673e-02 1.044558e-01 6.061926e-02 7.591205e-01
##  [1381] 5.227012e-01 6.324746e-02 1.146975e-01 3.989017e-01 1.887920e-01
##  [1386] 1.190472e-02 3.700580e-01 1.296226e-02 2.171203e-01 4.099265e-03
##  [1391] 1.168783e-01 1.783180e-01 7.545854e-01 1.119657e-01 1.630086e-01
##  [1396] 4.721682e-01 4.627879e-01 1.883351e-01 1.946747e-01 1.756246e-01
##  [1401] 3.893054e-01 3.561790e-02 1.674674e-02 6.524225e-01 1.387204e-01
##  [1406] 1.327235e-02 1.108961e-01 7.405684e-01 4.616657e-01 7.867067e-02
##  [1411] 2.215209e-01 2.635727e-01 1.850534e-01 9.569158e-02 1.031514e-01
##  [1416] 1.197427e-01 5.139688e-02 2.457686e-02 3.385032e-01 1.086752e-02
##  [1421] 2.195643e-03 2.426818e-01 9.477775e-02 1.622601e-01 6.251355e-02
##  [1426] 1.118904e-01 8.882100e-02 3.812855e-02 2.561847e-01 2.367383e-02
##  [1431] 3.022674e-02 9.369250e-02 7.663555e-02 2.080307e-01 7.619267e-02
##  [1436] 3.227793e-01 1.913133e-02 5.845927e-01 2.226432e-01 2.417863e-01
##  [1441] 4.591068e-02 2.475776e-03 2.089935e-01 2.019332e-01 2.931882e-02
##  [1446] 6.790620e-01 2.593998e-01 1.471343e-01 3.471784e-01 5.618072e-01
##  [1451] 1.178430e-01 5.571910e-01 1.731392e-02 7.183892e-01 1.106680e-01
##  [1456] 1.029206e-01 9.018092e-01 1.271656e-01 5.854456e-02 2.730895e-01
##  [1461] 1.983609e-01 1.063149e-01 8.186221e-02 7.743128e-03 9.446085e-02
##  [1466] 8.008616e-02 2.633570e-02 2.323698e-01 2.276868e-02 3.773918e-02
##  [1471] 7.039827e-02 4.112578e-02 7.521353e-02 1.304034e-01 4.193657e-02
##  [1476] 5.816562e-02 1.201905e-01 2.358901e-01 2.826455e-01 6.065343e-02
##  [1481] 1.198033e-01 3.436339e-01 2.024227e-01 3.570878e-02 1.769923e-01
##  [1486] 1.074505e-01 1.722688e-01 1.747771e-01 1.933406e-02 1.206903e-01
##  [1491] 2.068679e-01 1.892037e-02 6.784458e-01 7.407393e-02 1.040663e-02
##  [1496] 2.469506e-01 2.840872e-01 1.101714e-02 2.267091e-01 6.426599e-03
##  [1501] 3.370343e-01 3.214952e-02 5.063390e-01 6.243966e-02 2.246347e-01
##  [1506] 3.884450e-01 7.277366e-02 7.503448e-01 1.369158e-02 1.040762e-02
##  [1511] 4.505617e-01 5.864829e-02 1.411949e-01 3.846890e-01 2.460751e-01
##  [1516] 1.845786e-01 1.131650e-02 9.129027e-02 1.830148e-02 4.338750e-02
##  [1521] 1.312955e-02 1.631832e-01 3.597535e-01 6.121831e-02 3.242747e-01
##  [1526] 6.900126e-02 9.471190e-02 3.195842e-01 3.904110e-01 3.806225e-02
##  [1531] 1.359424e-01 3.074281e-01 1.028201e-01 2.267042e-01 3.398205e-01
##  [1536] 2.642050e-01 2.037008e-02 4.823483e-02 1.170164e-01 9.351821e-02
##  [1541] 1.006881e-01 9.782544e-03 5.198065e-02 1.465987e-01 1.565342e-01
##  [1546] 5.037751e-03 2.696562e-02 2.600041e-01 1.945421e-01 1.468302e-01
##  [1551] 1.289534e-01 4.191951e-02 6.850382e-02 2.257697e-01 9.534076e-02
##  [1556] 1.390585e-01 1.407228e-01 1.999559e-01 6.885280e-02 9.937652e-02
##  [1561] 2.125778e-01 1.628373e-01 9.495125e-02 5.078776e-02 5.341668e-02
##  [1566] 3.585298e-01 3.469930e-01 7.327908e-02 4.890687e-01 3.155732e-01
##  [1571] 3.564861e-02 2.469783e-02 3.035986e-01 5.339127e-01 1.709106e-01
##  [1576] 3.187092e-01 3.967795e-01 4.570780e-03 3.187069e-01 3.105931e-02
##  [1581] 2.070859e-01 2.450397e-01 3.393128e-02 1.252153e-02 3.926756e-01
##  [1586] 2.289596e-01 3.779103e-01 1.074984e-01 2.047154e-01 5.012689e-01
##  [1591] 5.275219e-01 5.426750e-02 3.949213e-01 1.479136e-01 1.936393e-01
##  [1596] 7.221011e-03 2.890343e-02 5.907145e-01 7.247282e-01 3.917384e-01
##  [1601] 2.114114e-01 1.655521e-01 3.753934e-01 4.043336e-01 3.335565e-01
##  [1606] 1.592795e-01 1.010218e-01 2.111341e-01 8.713427e-02 4.518459e-01
##  [1611] 1.415217e-01 2.448693e-01 2.439254e-01 4.315917e-01 1.700106e-01
##  [1616] 1.058972e-01 1.206339e-01 4.037089e-01 1.416253e-02 5.372492e-03
##  [1621] 2.897097e-01 2.090153e-01 3.416293e-01 2.076322e-01 3.086994e-01
##  [1626] 7.530715e-03 1.142521e-01 3.177866e-02 1.086779e-02 2.670402e-01
##  [1631] 9.220926e-02 1.586961e-02 2.320350e-01 1.417883e-01 4.440904e-01
##  [1636] 3.190093e-02 3.625918e-02 2.221487e-02 1.156675e-01 5.222808e-01
##  [1641] 1.491312e-01 3.878357e-01 8.583153e-02 3.549333e-02 4.501291e-02
##  [1646] 2.897677e-01 3.655680e-01 4.716820e-01 1.555743e-01 1.867045e-01
##  [1651] 3.180079e-01 3.980250e-02 1.360428e-02 1.228847e-01 4.333909e-01
##  [1656] 7.441194e-02 8.192069e-03 1.861075e-01 1.171618e-02 1.464517e-01
##  [1661] 2.570985e-01 4.490470e-01 3.147237e-02 8.708745e-02 5.204159e-01
##  [1666] 1.562551e-01 2.796511e-01 1.639366e-01 4.305648e-01 2.119051e-01
##  [1671] 2.055050e-01 1.097608e-01 1.486686e-02 1.148686e-01 1.190357e-01
##  [1676] 3.219452e-01 1.781201e-02 2.069752e-02 3.464365e-02 1.591579e-02
##  [1681] 6.249935e-02 7.743689e-02 4.697822e-01 3.077661e-01 4.408601e-01
##  [1686] 5.771023e-02 5.256616e-03 6.134678e-01 2.721693e-01 1.404408e-01
##  [1691] 4.368758e-01 1.955192e-02 4.289809e-03 1.870815e-01 7.319110e-02
##  [1696] 9.937593e-02 4.800648e-02 2.119771e-01 1.197925e+00 7.720075e-02
##  [1701] 9.620140e-02 1.344896e-01 1.995017e-01 3.875370e-02 5.726291e-02
##  [1706] 2.359703e-03 3.060034e-02 3.496417e-03 1.701227e-01 1.597515e-01
##  [1711] 4.333535e-02 2.510439e-01 1.714163e-01 2.473780e-01 1.286171e-01
##  [1716] 3.625778e-01 1.329903e-01 2.854066e-01 5.959858e-03 5.500293e-02
##  [1721] 1.969447e-01 1.558443e-01 2.548318e-02 9.249469e-02 1.419980e+00
##  [1726] 5.134223e-02 2.352104e-01 4.903263e-01 7.047870e-02 4.366310e-02
##  [1731] 5.234054e-01 2.577532e-01 5.305180e-01 1.178271e-01 4.981458e-02
##  [1736] 2.626410e-01 1.173973e+00 4.343216e-02 3.693477e-02 5.461321e-02
##  [1741] 1.427046e-01 3.024937e-01 1.010177e-02 1.505096e-01 3.901980e-02
##  [1746] 7.340626e-02 1.974257e-02 4.809019e-02 1.756184e-01 1.662292e-01
##  [1751] 4.079310e-02 3.455343e-01 1.036488e-01 1.929311e-01 3.914637e-01
##  [1756] 8.803155e-02 9.602083e-02 3.059551e-01 1.481991e-02 2.828690e-02
##  [1761] 1.316500e-01 1.429115e-01 2.946446e-01 7.087377e-02 5.580648e-01
##  [1766] 2.495595e-01 8.987508e-02 1.648867e-01 5.716108e-02 5.981213e-02
##  [1771] 8.964750e-02 3.558575e-01 1.948889e-01 2.490116e-01 5.930463e-01
##  [1776] 2.014663e-01 4.058206e-02 9.568327e-03 1.544636e-02 1.103574e-01
##  [1781] 4.172957e-01 8.211411e-02 6.697554e-01 1.125267e-01 1.136557e-01
##  [1786] 2.103030e-02 2.909444e-02 6.936417e-02 1.494178e-01 2.132281e-01
##  [1791] 1.229819e-01 2.178097e-01 6.878451e-01 7.720543e-02 1.045187e-01
##  [1796] 1.821674e-02 1.867936e-01 1.480638e-02 1.416358e-01 3.667051e-01
##  [1801] 1.255557e-02 1.209398e-01 1.632225e-01 1.256908e-01 2.403140e-02
##  [1806] 8.201602e-02 1.884186e-02 1.254965e-01 1.227380e-01 6.360270e-02
##  [1811] 4.770864e-01 9.229759e-02 4.983491e-03 2.557406e-01 3.209129e-01
##  [1816] 4.555574e-01 3.038643e-01 1.776095e-01 2.028844e-01 2.259048e-01
##  [1821] 1.396358e-01 2.086279e-01 7.425745e-01 1.679363e-01 1.140939e-02
##  [1826] 3.251517e-01 2.629675e-01 1.461654e-02 1.592924e-01 2.631666e-01
##  [1831] 1.391057e-01 1.565301e-02 2.049076e-04 1.978502e-01 7.026218e-02
##  [1836] 1.779490e-03 1.096324e-01 7.159367e-02 9.358193e-02 1.000369e-01
##  [1841] 1.992258e-01 2.467180e-01 6.976617e-02 4.649077e-01 1.315907e-01
##  [1846] 7.010892e-01 4.839588e-01 4.253270e-02 4.262757e-02 9.436671e-02
##  [1851] 3.271022e-01 7.298062e-02 4.576769e-03 7.912021e-03 4.463829e-01
##  [1856] 4.939060e-02 2.291412e-01 1.154399e-01 1.523768e-03 6.905178e-02
##  [1861] 2.741413e-01 3.350619e-01 1.031975e-01 1.967093e-01 4.737922e-02
##  [1866] 3.757127e-02 6.625167e-01 2.536790e-01 1.879079e-01 1.884655e-01
##  [1871] 3.036083e-02 8.245242e-01 1.254266e-01 6.731808e-02 1.767928e-01
##  [1876] 5.232937e-02 7.448470e-02 6.934922e-01 7.680749e-02 7.202374e-02
##  [1881] 2.527016e-02 1.772545e-01 2.459367e-01 7.224812e-02 5.191462e-02
##  [1886] 2.587042e-01 5.849903e-01 5.008076e-01 2.864608e-01 3.902149e-03
##  [1891] 2.869598e-01 3.294111e-01 2.426983e-01 2.864972e-04 2.392998e-01
##  [1896] 5.347719e-02 3.391506e-01 1.754499e-01 3.908698e-01 2.405750e-01
##  [1901] 2.412757e-02 2.202526e-01 4.344460e-01 2.861265e-01 3.120958e-01
##  [1906] 1.242734e-01 4.164869e-01 7.925596e-02 2.786594e-03 1.541847e-01
##  [1911] 5.385992e-02 2.650718e-02 5.365026e-02 4.009439e-01 2.316066e-01
##  [1916] 2.255824e-01 4.730862e-02 2.162851e-01 1.023866e-01 2.617076e-02
##  [1921] 5.103521e-02 2.524011e-01 6.335276e-02 7.324250e-02 1.105302e-01
##  [1926] 1.070626e-01 9.157686e-01 3.739826e-01 5.005349e-01 6.508009e-02
##  [1931] 5.670290e-02 3.917664e-03 2.002024e-01 2.904258e-02 2.123891e-01
##  [1936] 1.450334e-02 1.609903e-02 5.552713e-02 2.365175e-02 5.950507e-01
##  [1941] 1.350215e-02 1.463904e-01 2.306526e-01 5.110449e-02 2.726796e-01
##  [1946] 7.836568e-01 3.619542e-02 1.459032e-01 5.885487e-01 2.836766e-01
##  [1951] 2.883799e-01 1.219108e-02 6.964566e-02 1.167586e+00 8.853963e-03
##  [1956] 2.935587e-01 2.675213e-01 1.321125e-01 2.483356e-01 4.911810e-02
##  [1961] 4.210898e-02 1.609081e-02 3.374780e-02 1.091219e-01 7.928782e-02
##  [1966] 7.866252e-02 3.215192e-02 1.787826e-01 3.352132e-01 1.068937e-01
##  [1971] 9.372318e-02 1.414827e-01 2.688014e-01 1.877081e-02 9.984513e-02
##  [1976] 1.817096e-01 5.146719e-02 4.104388e-01 7.156419e-03 8.611597e-02
##  [1981] 1.071029e-01 5.229138e-02 1.266094e-01 2.716837e-01 1.580599e-02
##  [1986] 4.077436e-02 8.178507e-01 4.863943e-01 2.055180e-01 4.411960e-01
##  [1991] 8.203194e-02 4.533267e-01 1.986405e-01 2.257830e-01 2.492955e-01
##  [1996] 1.141773e-01 4.173930e-02 1.050359e-01 3.169048e-01 1.746009e-02
##  [2001] 3.076366e-01 9.856915e-01 5.296038e-03 1.273852e-01 6.102384e-01
##  [2006] 7.064865e-01 1.158770e-01 2.289749e-02 2.445581e-01 8.078097e-02
##  [2011] 7.471947e-02 5.474816e-02 1.324730e-01 2.307107e-01 2.822279e-02
##  [2016] 5.206090e-02 4.598104e-02 5.901592e-01 7.144056e-01 4.335263e-01
##  [2021] 1.748470e-01 2.799853e-01 1.378859e-01 3.315705e-02 1.613272e-02
##  [2026] 2.576395e-02 4.393079e-01 2.029786e-01 1.699692e-01 6.234719e-02
##  [2031] 1.746106e-01 1.173402e-01 7.260197e-01 5.758164e-01 7.719476e-01
##  [2036] 2.194278e-02 3.929764e-01 1.169722e-01 9.875992e-03 6.790605e-02
##  [2041] 6.856584e-01 9.995755e-02 1.934153e-02 1.836707e-01 2.776965e-02
##  [2046] 1.528301e-02 5.249494e-02 4.220422e-01 6.841027e-02 4.253190e-01
##  [2051] 4.004091e-01 3.317980e-02 2.641809e-01 1.184589e-01 8.694758e-02
##  [2056] 3.105042e-01 3.207339e-03 1.487834e-02 2.208148e-01 2.053824e-01
##  [2061] 4.920192e-01 4.174120e-03 2.204123e-01 2.141401e-01 6.474992e-02
##  [2066] 6.585254e-01 1.291999e-01 1.021481e-01 1.314219e-01 1.472841e-01
##  [2071] 3.916569e-03 2.822979e-01 4.870527e-01 2.434210e-01 1.850672e-01
##  [2076] 2.274161e-02 7.485936e-04 8.141156e-01 6.450258e-03 1.343558e-01
##  [2081] 2.358673e-02 1.088126e-01 8.457392e-02 3.020159e-02 1.649999e-01
##  [2086] 5.028096e-02 3.305243e-01 3.996765e-02 1.177818e-01 1.834772e-03
##  [2091] 1.606078e-02 8.014943e-01 1.108917e-01 2.065774e-01 2.398055e-01
##  [2096] 1.412613e-02 3.823621e-01 1.447628e-01 1.567291e-01 1.086925e+00
##  [2101] 2.402769e-01 8.159969e-04 2.043644e-01 1.142141e-01 1.126500e-01
##  [2106] 1.679512e-01 2.487221e-01 3.386348e-02 5.648178e-02 9.771323e-02
##  [2111] 9.737389e-02 6.179525e-01 6.406760e-01 8.624437e-02 1.101144e+00
##  [2116] 3.185555e-01 2.508996e-01 8.566475e-02 1.708899e-01 1.349326e-01
##  [2121] 1.237986e-01 3.682472e-01 4.616951e-02 5.300389e-01 1.587731e-01
##  [2126] 1.120583e-01 1.694013e-01 1.121946e-01 3.260948e-01 3.442194e-02
##  [2131] 4.245373e-01 5.061868e-01 1.785906e-01 5.633206e-02 1.666638e-01
##  [2136] 7.202187e-02 1.589287e-01 4.885240e-02 3.187096e-02 2.267104e-02
##  [2141] 8.048124e-01 2.219808e-01 2.409406e-01 8.245637e-01 7.057094e-02
##  [2146] 5.552847e-01 4.081082e-01 4.728597e-02 1.349683e-01 4.485679e-01
##  [2151] 1.566777e-01 3.110549e-02 2.209515e-01 8.780375e-02 1.659025e-01
##  [2156] 2.427940e-01 4.444110e-01 2.505639e-01 2.814596e-01 1.606701e-02
##  [2161] 4.160778e-02 3.159399e-01 2.006023e-01 3.590616e-01 2.523936e-01
##  [2166] 1.458747e-02 7.557812e-02 2.684147e-01 2.767509e-02 6.165670e-02
##  [2171] 2.070347e-01 5.784196e-01 1.636879e-01 1.168547e-01 9.164633e-02
##  [2176] 1.361505e-01 1.492805e-01 7.789250e-02 4.219915e-02 1.317828e-01
##  [2181] 3.279384e-01 2.577905e-02 1.437416e-01 4.212292e-01 3.830252e-02
##  [2186] 2.198537e-01 1.068208e-01 4.760101e-02 1.738753e-01 1.646667e-01
##  [2191] 6.876865e-01 3.017594e-01 3.225499e-02 1.230965e-01 1.142468e-01
##  [2196] 1.012069e-01 1.680761e-01 9.138772e-02 1.881512e-02 3.747910e-01
##  [2201] 2.211305e-01 6.975133e-02 1.282795e-01 2.217792e-01 2.707522e-01
##  [2206] 7.022047e-02 2.796125e-01 9.702391e-01 1.277854e-02 3.402486e-01
##  [2211] 1.436688e-01 1.614905e-01 3.008368e-01 9.603834e-02 1.916734e-01
##  [2216] 1.050689e-01 2.422525e-03 1.124101e-01 1.456073e-01 9.995281e-02
##  [2221] 5.800990e-02 3.774952e-02 2.276427e-01 1.704390e-01 2.051939e-01
##  [2226] 2.500248e-01 2.070780e-01 4.280734e-01 2.762872e-01 7.331686e-01
##  [2231] 1.570373e-01 6.840130e-01 1.870213e-01 2.005159e-01 1.692306e-01
##  [2236] 3.634488e-02 3.487736e-03 2.266739e-02 3.532905e-01 1.915109e-01
##  [2241] 3.943642e-01 2.236978e-02 2.823103e-03 4.464291e-01 2.379794e-01
##  [2246] 1.622908e-01 2.404874e-02 8.471348e-02 1.422271e-01 2.022567e-01
##  [2251] 1.078574e+00 1.067291e-01 7.942381e-01 9.930199e-02 4.510694e-02
##  [2256] 5.120572e-03 1.841263e-03 3.158661e-02 9.888887e-01 6.989680e-02
##  [2261] 4.318010e-01 9.038838e-02 4.667606e-01 1.031960e+00 2.245032e-01
##  [2266] 3.273962e-01 3.929666e-01 8.286894e-01 4.462370e-01 3.273303e-02
##  [2271] 4.168283e-02 3.914496e-03 6.384910e-02 1.618102e-01 1.989747e-01
##  [2276] 1.220625e-01 2.081585e-01 2.887988e-03 1.710211e-01 2.183533e-02
##  [2281] 1.513582e-01 1.757345e-02 6.172101e-02 4.494102e-02 2.757771e-02
##  [2286] 7.956489e-01 7.101454e-02 2.880689e-01 2.393467e-01 1.367667e-01
##  [2291] 1.544813e-02 1.589624e-01 3.681539e-01 2.644252e-01 8.403743e-01
##  [2296] 1.145191e-01 2.588656e-02 1.508407e-01 1.308852e-01 1.984019e-01
##  [2301] 5.076547e-03 1.285642e+00 1.538538e-01 1.521254e-01 1.924507e-01
##  [2306] 3.032309e-02 6.540322e-02 1.165405e-01 4.479351e-01 1.486372e-01
##  [2311] 7.301801e-03 5.017756e-04 6.981192e-02 3.965231e-01 9.181113e-03
##  [2316] 3.135120e-01 1.516692e-01 6.758076e-01 1.247410e-01 2.681761e-01
##  [2321] 3.578058e-02 5.970908e-01 1.685231e-01 1.790837e-01 1.037392e-01
##  [2326] 3.989781e-01 5.139214e-02 1.724095e-01 5.675353e-02 2.506273e-01
##  [2331] 5.708383e-01 3.359207e-02 1.257118e-01 2.891236e-02 2.930115e-01
##  [2336] 4.250603e-03 4.262651e-02 6.796347e-02 1.642791e-01 7.634139e-02
##  [2341] 3.018546e-01 1.754475e-01 1.100939e-01 3.740508e-01 2.508163e-01
##  [2346] 1.839117e-02 8.478833e-02 5.770892e-02 3.242565e-01 9.464497e-01
##  [2351] 4.790417e-01 7.637201e-03 1.496998e-01 3.248092e-01 4.312360e-01
##  [2356] 6.275217e-01 1.014758e-01 9.431390e-01 2.637661e-01 2.679517e-01
##  [2361] 3.069350e-02 1.365831e-02 1.660105e-01 1.204300e-01 1.327179e-01
##  [2366] 7.193542e-02 2.714610e-01 2.136868e-01 1.761292e-01 1.288534e-01
##  [2371] 3.519424e-04 1.820943e-01 3.584671e-01 2.778731e-01 2.406537e-01
##  [2376] 6.864148e-02 3.776884e-01 1.903609e-03 7.619487e-01 2.435751e-01
##  [2381] 7.928549e-02 7.550632e-02 1.765235e-01 2.904356e-01 2.630351e-02
##  [2386] 7.091364e-01 3.970651e-01 2.726965e-01 4.060686e-01 2.404066e-01
##  [2391] 4.605338e-01 3.092173e-01 2.143678e-02 6.469702e-02 9.425900e-02
##  [2396] 2.395970e-01 1.102756e-01 3.686865e-02 1.148393e-01 3.824541e-01
##  [2401] 1.165839e+00 5.738232e-03 2.634050e-02 3.991510e-01 1.714946e-01
##  [2406] 5.844127e-02 1.129539e-01 1.358646e-02 2.065267e-01 7.344697e-01
##  [2411] 6.378785e-01 1.108825e-01 3.153747e-01 6.007586e-01 1.115899e-01
##  [2416] 7.260517e-01 3.206938e-01 1.064168e-01 2.282530e-01 3.832619e-01
##  [2421] 1.729607e-01 4.086757e-01 1.331158e-01 4.327771e-01 5.582911e-01
##  [2426] 1.832382e-01 5.276595e-02 2.729063e-01 4.991526e-02 1.744305e-01
##  [2431] 7.089117e-01 5.501100e-02 1.118894e-01 6.219737e-02 1.035366e-01
##  [2436] 8.435488e-02 7.749319e-03 3.148183e-01 1.586737e-01 3.624276e-01
##  [2441] 1.568815e-01 7.316398e-01 4.876699e-02 4.661890e-01 6.398285e-02
##  [2446] 9.173109e-02 4.420901e-01 3.816970e-02 5.064416e-01 5.115293e-02
##  [2451] 1.418360e-01 2.080823e-01 2.350497e-01 3.475658e-01 6.411567e-02
##  [2456] 3.934584e-02 2.988232e-01 4.878656e-01 1.466652e-01 2.468646e-01
##  [2461] 3.297368e-02 4.694349e-02 4.626070e-02 1.426927e-01 1.950101e-01
##  [2466] 6.579570e-02 2.098547e-01 1.230117e-01 8.975205e-02 5.783810e-02
##  [2471] 5.248316e-02 1.202947e+00 1.595143e-01 7.621740e-02 3.528599e-02
##  [2476] 3.413469e-01 6.221966e-01 1.619572e-01 2.057490e-01 2.609768e-01
##  [2481] 3.508208e-02 1.436718e-01 1.010531e-01 3.374279e-01 5.355508e-02
##  [2486] 3.114175e-02 1.372289e-01 4.396551e-01 2.675377e-01 2.441947e-01
##  [2491] 8.680331e-01 4.267506e-03 1.467291e-01 1.570803e-02 1.025653e-01
##  [2496] 5.037346e-01 3.026609e-01 2.324755e-01 2.807290e-01 7.695794e-02
##  [2501] 3.561387e-02 5.646402e-02 3.754199e-01 1.502055e-01 4.952992e-01
##  [2506] 3.061063e-01 1.193882e-01 5.171524e-01 8.456670e-02 4.098674e-01
##  [2511] 6.798470e-01 5.447979e-02 7.796650e-03 3.773820e-02 3.247036e-01
##  [2516] 2.941747e-01 8.160353e-02 8.367463e-02 4.918579e-02 7.891074e-03
##  [2521] 1.265155e-02 1.981152e-01 1.575828e-01 9.525232e-03 2.769968e-01
##  [2526] 5.336820e-02 9.244847e-02 1.304545e+00 8.504262e-02 3.850948e-01
##  [2531] 8.368152e-01 8.027887e-03 4.364552e-01 5.366422e-02 3.713194e-01
##  [2536] 1.453222e-01 1.402025e-01 1.396178e-01 5.574941e-01 1.153296e-01
##  [2541] 1.467708e-02 1.246525e-01 4.223053e-01 2.189187e-01 3.555969e-01
##  [2546] 1.840880e-02 1.864169e-01 3.375632e-01 3.960242e-02 6.952344e-02
##  [2551] 1.492858e-01 2.445519e-01 1.936224e-02 1.631364e-01 3.822427e-01
##  [2556] 1.860236e-01 2.537960e-01 4.762709e-01 1.010621e-01 2.071457e-01
##  [2561] 4.893025e-02 2.695759e-01 3.608137e-01 2.308528e-02 9.666658e-03
##  [2566] 1.294474e-01 1.461066e-01 1.422774e-01 8.575998e-03 1.292207e-01
##  [2571] 6.836202e-02 4.566023e-01 1.191545e-02 6.581755e-02 3.537130e-02
##  [2576] 3.403880e-01 5.339334e-01 9.293425e-02 1.911613e-01 2.057703e-01
##  [2581] 2.254435e-01 2.991180e-01 4.831256e-02 1.251671e-01 1.988453e-02
##  [2586] 3.685204e-01 1.287141e-01 1.093818e-01 5.879272e-01 6.308207e-01
##  [2591] 6.214633e-01 4.520002e-01 1.026037e-01 6.376532e-01 2.772477e-01
##  [2596] 2.431066e-02 4.873791e-02 2.759894e-01 1.133395e-01 5.595590e-02
##  [2601] 1.206804e-02 9.924089e-04 3.521654e-02 2.301212e-01 1.163284e-01
##  [2606] 3.304224e-02 1.148592e+00 2.109355e-01 5.885379e-02 1.265919e-01
##  [2611] 1.480063e-01 3.367493e-02 7.607456e-01 2.555080e-01 1.568679e-01
##  [2616] 4.017202e-01 4.124568e-01 4.282161e-01 1.385120e-02 1.547968e-01
##  [2621] 2.645312e-01 7.306587e-02 8.169778e-03 1.036237e-01 4.323904e-01
##  [2626] 4.472102e-02 2.953248e-01 3.449641e-01 3.273646e-02 2.206886e-01
##  [2631] 3.023023e-02 5.418859e-02 6.971160e-02 2.088616e-01 6.723336e-02
##  [2636] 6.348216e-02 7.617360e-01 1.129699e-01 9.480994e-03 1.737176e-01
##  [2641] 2.773519e-01 7.664930e-01 7.150107e-04 1.647534e-01 2.082149e-01
##  [2646] 1.790956e-01 3.643877e-01 3.498116e-01 6.759307e-02 2.240647e-01
##  [2651] 2.187337e-01 4.940374e-02 1.200844e-01 3.696149e-01 2.111665e-01
##  [2656] 3.480534e-01 1.285644e-01 8.558847e-02 1.332286e-02 8.928577e-02
##  [2661] 1.902439e-01 5.211331e-02 2.931406e-02 1.765635e-01 1.450957e-01
##  [2666] 8.147324e-02 2.583521e-01 1.669399e-01 5.276454e-01 8.593244e-01
##  [2671] 2.070641e-01 4.781180e-02 9.548949e-03 9.654668e-01 1.007849e-01
##  [2676] 4.984740e-01 3.414230e-02 1.155246e-01 5.417017e-01 8.801766e-02
##  [2681] 7.299364e-03 2.051052e-01 1.029784e-02 1.363543e-01 7.884053e-02
##  [2686] 5.194228e-02 1.774695e-01 5.249908e-02 8.925593e-01 3.341356e-01
##  [2691] 2.850145e-01 4.200709e-01 7.707232e-01 1.477092e-01 3.523484e-02
##  [2696] 4.126339e-01 1.416076e-01 2.613886e-01 2.505190e-01 4.772325e-01
##  [2701] 6.519504e-02 1.420408e-01 9.594025e-02 5.621066e-02 3.053062e-02
##  [2706] 6.305659e-02 2.078924e-02 3.988317e-02 1.725614e-02 1.287512e-01
##  [2711] 2.548963e-02 2.021876e-01 2.430677e-01 1.875309e-03 3.644641e-02
##  [2716] 7.070394e-01 2.648063e-01 3.589073e-01 5.539879e-02 8.611326e-02
##  [2721] 3.834475e-01 5.176594e-01 1.057347e-02 3.511014e-01 1.619770e-01
##  [2726] 2.474726e-03 1.453725e-02 3.677510e-02 1.909812e-01 3.260261e-02
##  [2731] 2.193806e-02 1.438775e-01 7.861727e-02 4.237254e-01 8.878385e-02
##  [2736] 2.882547e-02 2.517723e-02 1.800375e-01 5.828785e-01 2.122775e-02
##  [2741] 1.016710e-01 4.317430e-02 1.137790e-01 7.653510e-02 2.963269e-02
##  [2746] 4.154252e-02 2.568168e-01 4.473938e-01 2.535771e-01 2.788706e-01
##  [2751] 9.083259e-02 4.416321e-01 1.717882e-01 4.813298e-01 2.230032e-01
##  [2756] 3.938618e-01 3.552135e-01 9.025890e-02 6.448356e-01 3.702718e-01
##  [2761] 1.190654e-02 1.718150e-01 7.730894e-02 2.983219e-01 2.570497e-01
##  [2766] 4.608783e-01 5.467350e-01 1.719758e-01 3.743030e-01 1.865676e-01
##  [2771] 3.933709e-01 3.362033e-02 2.474953e-01 2.038647e-02 8.622968e-02
##  [2776] 9.349561e-03 1.494945e-01 4.081990e-02 3.870486e-01 1.119678e-01
##  [2781] 1.328566e-01 2.362921e-02 1.153144e-01 2.404093e-01 1.155983e-01
##  [2786] 1.691743e-01 8.744722e-01 2.184190e-01 3.590592e-02 1.779586e-01
##  [2791] 3.657236e-01 5.686361e-03 3.520894e-01 7.074108e-02 2.651350e-01
##  [2796] 7.982109e-03 5.064677e-02 1.001935e-01 2.870515e-01 1.328601e+00
##  [2801] 5.525400e-02 1.624640e-02 1.184227e-01 3.276042e-02 2.755666e-01
##  [2806] 1.685814e-01 8.477740e-02 4.151988e-01 3.294984e-01 7.767805e-02
##  [2811] 1.840027e-01 4.587483e-02 4.986069e-01 1.318516e-02 1.418503e-02
##  [2816] 1.884855e-01 2.954574e-02 5.133515e-02 1.744261e-02 3.502865e-01
##  [2821] 8.191802e-02 7.651972e-02 1.231624e-02 4.465405e-02 1.112642e-01
##  [2826] 5.101777e-01 7.631727e-02 1.582239e-03 8.372363e-02 1.269029e-01
##  [2831] 4.752984e-01 5.210523e-01 4.813126e-01 2.326664e-01 9.836598e-03
##  [2836] 1.609555e-02 9.243633e-02 3.386385e-01 1.977896e-01 1.395826e-01
##  [2841] 4.908588e-02 1.360872e-01 2.920461e-01 1.627145e-02 6.098300e-03
##  [2846] 9.874254e-02 4.667080e-01 2.265524e-02 4.042727e-01 9.675082e-02
##  [2851] 1.666048e-01 1.021967e-01 7.086361e-02 1.712689e-01 2.253453e-01
##  [2856] 5.357319e-01 4.068257e-01 2.680907e-01 2.082578e-02 4.358905e-03
##  [2861] 3.398105e-02 9.536912e-02 7.962809e-02 2.272725e-01 9.625162e-02
##  [2866] 2.994760e-01 4.540960e-01 7.258045e-02 6.212211e-03 3.407364e-02
##  [2871] 2.340090e-01 5.792378e-01 1.483189e-02 8.051592e-01 1.854167e-01
##  [2876] 1.182170e-01 5.475539e-01 1.683961e-01 1.359185e-02 4.670906e-01
##  [2881] 1.231770e-02 2.774246e-01 6.509167e-02 9.484243e-02 2.826301e-02
##  [2886] 7.534465e-02 1.120260e-01 2.964286e-03 2.379735e-01 1.142132e-01
##  [2891] 3.969170e-01 5.295442e-02 1.181024e-01 1.043526e-01 1.125117e+00
##  [2896] 5.427615e-01 2.761901e-01 3.582926e-01 1.217259e-01 3.777458e-02
##  [2901] 3.217705e-02 1.022077e-01 5.687990e-02 3.045977e-01 1.521110e-01
##  [2906] 4.671596e-02 3.017477e-02 3.362849e-01 1.791857e+00 3.884469e-01
##  [2911] 4.577196e-02 1.163813e-01 1.169593e-01 1.590407e-02 2.682489e-01
##  [2916] 1.017332e-01 6.918178e-02 2.262252e-01 3.383014e-01 2.661215e-03
##  [2921] 1.264549e-01 6.281651e-01 4.529248e-01 1.777758e-01 2.857319e-01
##  [2926] 1.651180e-01 1.442846e-02 7.856340e-02 2.148610e-01 5.985258e-01
##  [2931] 6.481658e-01 1.269147e-01 3.517138e-02 1.806692e-01 1.654965e-01
##  [2936] 4.455245e-02 4.914569e-02 1.379758e-01 5.138216e-02 8.245563e-01
##  [2941] 5.120474e-02 1.216891e-02 2.788613e-02 1.386087e-01 9.808124e-02
##  [2946] 3.325760e-01 9.120824e-02 5.985790e-02 1.108389e-01 5.074355e-01
##  [2951] 6.396685e-01 2.251460e-02 1.522540e-01 5.082086e-01 1.764671e-01
##  [2956] 5.817147e-01 2.231924e-01 3.213401e-01 2.436457e-01 1.587289e-01
##  [2961] 4.526040e-02 5.078201e-01 3.950088e-01 3.609173e-01 1.488012e-01
##  [2966] 4.768323e-03 1.712972e-01 5.212300e-02 1.353069e-01 1.107403e-01
##  [2971] 1.319336e-01 1.904563e-01 6.345379e-01 1.103090e-01 4.615653e-02
##  [2976] 4.069935e-01 2.777030e-01 5.966949e-02 5.608738e-03 6.601499e-02
##  [2981] 1.405929e-01 5.208968e-01 4.090023e-01 2.146679e-01 1.042158e-02
##  [2986] 6.915666e-02 6.242266e-01 2.184753e-01 3.568477e-01 9.043729e-03
##  [2991] 3.848364e-02 2.001049e-01 8.426115e-02 3.358601e-01 2.840772e-01
##  [2996] 2.670645e-02 1.835728e-01 2.714096e-01 1.659378e-01 5.274773e-01
##  [3001] 4.166465e-01 8.164395e-02 4.442448e-02 1.836584e-01 5.327564e-01
##  [3006] 9.659809e-02 1.135298e-01 7.456669e-02 8.535633e-02 4.850388e-01
##  [3011] 2.052778e-01 3.337394e-01 2.112617e-01 9.781711e-02 1.293175e-01
##  [3016] 2.649005e-01 4.918842e-02 5.107205e-02 6.306201e-02 8.230922e-02
##  [3021] 2.868904e-01 4.001614e-01 1.616451e-01 2.144788e-02 5.280628e-02
##  [3026] 2.490645e-01 7.498498e-02 7.185493e-02 2.246000e-01 2.920938e-01
##  [3031] 2.322363e-01 1.928410e-01 8.073215e-01 4.882149e-02 1.235104e-01
##  [3036] 2.839479e-02 1.049393e-01 3.086542e-01 1.097193e-01 3.414493e-01
##  [3041] 4.077078e-02 1.684567e-01 1.450545e-01 5.351324e-01 2.573174e-01
##  [3046] 5.818914e-02 2.136754e-01 4.184882e-01 2.765468e-01 4.811521e-02
##  [3051] 1.973192e-01 1.411292e-01 2.226807e-01 1.707781e-01 4.101013e-01
##  [3056] 1.000420e-01 1.764856e-01 6.264350e-02 1.037538e-01 4.834129e-02
##  [3061] 1.239695e-01 1.796418e-01 1.918420e-01 3.969375e-02 9.505125e-01
##  [3066] 1.375159e-01 2.492291e-03 5.497362e-02 1.478325e-01 1.291077e-01
##  [3071] 4.103934e-02 7.005256e-02 3.453419e-01 3.894972e-01 5.697171e-02
##  [3076] 8.932555e-03 5.065850e-01 6.951864e-03 3.008331e-02 2.469519e-03
##  [3081] 2.132072e-01 1.138437e-01 6.630647e-02 1.385647e-02 3.185063e-02
##  [3086] 2.704940e-03 6.065758e-02 2.657781e-02 1.895933e-01 2.133715e-01
##  [3091] 9.659963e-01 6.131997e-01 4.496987e-01 1.834609e-01 1.349766e-01
##  [3096] 7.425704e-02 2.906498e-01 1.067510e-01 8.237936e-02 8.420145e-02
##  [3101] 1.129428e-01 1.205118e-01 4.682776e-01 1.210546e-01 9.600530e-02
##  [3106] 4.963933e-02 1.274411e-01 3.174840e-01 2.021779e-02 2.251706e-01
##  [3111] 4.194707e-02 3.377161e-01 1.495028e-03 3.580019e-03 1.762504e-01
##  [3116] 5.056806e-01 4.058711e-01 9.389441e-02 1.540601e-01 3.131130e-01
##  [3121] 3.027188e-01 2.763389e-01 3.797137e-02 1.645149e-01 1.822502e-01
##  [3126] 2.187273e-01 1.014570e-01 5.818832e-02 3.230614e-01 2.785027e-01
##  [3131] 4.066555e-02 1.478331e-02 5.243520e-02 1.198822e-01 1.180793e-01
##  [3136] 1.002462e-01 6.731854e-02 1.134723e-02 1.591551e-01 4.499119e-02
##  [3141] 4.362677e-01 3.417152e-02 2.627566e-02 2.074161e-02 7.012194e-02
##  [3146] 2.794811e-03 9.566916e-02 6.818406e-01 6.377297e-02 1.947306e-02
##  [3151] 1.823184e-01 1.400848e-01 4.329180e-02 1.756315e-01 2.389950e-01
##  [3156] 1.549799e-01 7.270954e-02 1.803696e-01 5.983288e-02 2.686368e-01
##  [3161] 5.064111e-01 1.707682e-01 7.019482e-02 2.030361e-01 1.980926e-01
##  [3166] 1.667465e-01 1.615283e-01 4.129851e-02 1.168747e-01 4.773220e-02
##  [3171] 1.942211e-01 2.578756e-02 2.440299e-01 8.674346e-02 2.158236e-02
##  [3176] 1.905446e-01 1.296495e-01 7.818661e-02 5.363244e-02 1.688520e-01
##  [3181] 2.646480e-01 1.903690e-01 9.980262e-02 1.179148e-01 3.222155e-02
##  [3186] 1.978110e-01 7.104949e-01 1.301536e-01 8.999939e-02 2.437712e-01
##  [3191] 1.604814e-01 1.163886e-01 9.968653e-02 1.970996e-03 3.560987e-01
##  [3196] 2.127207e-01 6.757182e-02 8.886739e-02 2.745657e-01 1.554140e-01
##  [3201] 2.232283e-01 6.708202e-02 1.105244e-01 3.742077e-01 3.135798e-02
##  [3206] 1.407327e-01 1.983490e-01 6.431880e-02 3.630677e-01 7.140402e-02
##  [3211] 1.544831e-01 7.093179e-02 3.863902e-02 2.623747e-01 1.853489e-02
##  [3216] 3.892733e-01 1.950260e-01 7.664357e-02 1.362497e-02 1.766186e-01
##  [3221] 1.223230e-01 4.992248e-01 1.712119e-02 8.042515e-02 1.182241e+00
##  [3226] 3.541504e-03 1.188773e-01 4.464281e-02 1.745043e-02 3.657590e-02
##  [3231] 6.847944e-02 5.583208e-02 2.182958e-01 1.618877e-01 2.628652e-02
##  [3236] 4.765516e-01 1.578398e-01 5.325273e-02 1.728781e-01 1.137155e-01
##  [3241] 3.933926e-02 2.127603e-01 1.855076e-01 1.050454e-01 1.081279e+00
##  [3246] 2.271301e-01 2.115560e-02 6.041824e-01 5.987009e-01 3.223720e-02
##  [3251] 8.827257e-02 5.342059e-01 3.237337e-01 9.170665e-02 1.546816e-01
##  [3256] 8.954183e-02 8.129315e-03 6.403593e-02 8.231281e-03 4.788217e-01
##  [3261] 1.963169e-01 3.769354e-02 2.267421e-02 4.753482e-02 6.890075e-02
##  [3266] 2.575327e-01 1.966577e-02 3.056058e-01 1.382491e-01 1.061253e+00
##  [3271] 6.360796e-03 1.994462e-01 1.218555e-01 5.539385e-02 1.160060e-01
##  [3276] 2.294717e-01 2.890310e-01 3.714338e-02 8.437162e-02 4.812022e-02
##  [3281] 2.753264e-01 6.358094e-01 1.013439e-01 2.586331e-01 1.264349e-01
##  [3286] 9.449395e-02 5.212091e-02 2.309368e-01 8.583799e-02 3.509596e-02
##  [3291] 2.738167e-03 1.715017e-02 1.753574e-02 1.471176e-02 7.354489e-02
##  [3296] 1.574124e-02 1.742963e-01 8.935992e-02 4.293226e-02 2.047485e-01
##  [3301] 8.645445e-01 2.514927e-01 7.195357e-01 3.915578e-01 2.461053e-01
##  [3306] 6.440958e-01 1.041173e-01 1.018645e-02 4.089476e-02 3.451620e-02
##  [3311] 1.886434e-01 1.539871e-01 5.620196e-02 5.345099e-01 4.211161e-02
##  [3316] 1.888351e-01 1.791199e-01 1.385787e-02 9.011225e-01 1.961905e-01
##  [3321] 6.048471e-02 8.212913e-02 2.397864e-01 1.453515e-01 2.991647e-02
##  [3326] 5.157715e-01 7.868833e-02 5.994516e-02 8.677545e-02 3.607575e-01
##  [3331] 6.563378e-01 6.347548e-02 1.843084e-02 2.129258e-02 8.287105e-02
##  [3336] 3.183429e-01 2.650453e-01 2.453776e-01 6.207847e-01 6.075124e-01
##  [3341] 2.782449e-01 9.623445e-02 1.574272e-01 3.132487e-01 6.211599e-01
##  [3346] 2.066215e-02 1.585947e-01 3.496623e-02 7.536298e-02 6.945099e-02
##  [3351] 4.339698e-02 7.528273e-02 2.484224e-01 8.010510e-03 3.269506e-02
##  [3356] 9.746644e-02 1.031607e-01 8.102470e-02 7.194197e-02 1.118253e-01
##  [3361] 3.862559e-01 1.358703e-01 1.247741e-01 6.073357e-02 3.526887e-01
##  [3366] 5.462897e-01 2.554925e-01 9.742642e-01 5.774617e-01 1.998766e-01
##  [3371] 7.075388e-02 4.225513e-01 5.201643e-02 2.619378e-01 9.140255e-02
##  [3376] 4.605596e-02 1.876257e-01 2.341310e-02 1.455072e-01 1.283467e-01
##  [3381] 2.405327e-01 3.674130e-02 7.362354e-02 6.542549e-02 1.008293e-01
##  [3386] 1.463265e-01 2.353381e-01 2.452853e-01 4.248781e-02 1.228550e-01
##  [3391] 8.738205e-02 2.662854e-01 7.548338e-02 2.493116e-01 6.145836e-01
##  [3396] 1.996276e-01 6.262462e-02 3.637520e-02 1.507622e-01 5.204773e-03
##  [3401] 6.236017e-02 1.469259e-01 7.334096e-02 3.560209e-01 2.579364e-01
##  [3406] 5.259733e-01 1.475862e-02 1.437207e-01 4.576770e-03 2.276878e-02
##  [3411] 4.452255e-01 6.422649e-02 2.024340e-01 6.328939e-02 7.073602e-02
##  [3416] 4.159620e-02 1.692237e-02 1.407890e-01 8.873589e-03 1.745811e-02
##  [3421] 1.217635e-01 2.998842e-02 8.601910e-02 2.132324e-01 7.936917e-02
##  [3426] 5.067555e-01 3.452011e-01 8.336952e-02 5.579647e-01 7.201148e-01
##  [3431] 3.966499e-01 6.335099e-02 6.147357e-02 1.109558e-02 4.986762e-01
##  [3436] 5.001368e-03 1.148566e-01 4.597284e-02 2.570484e-01 1.652965e-02
##  [3441] 2.872622e-02 1.604280e-01 1.919809e-01 3.012295e-01 1.106298e-01
##  [3446] 3.488408e-02 2.983619e-02 2.498295e-01 2.666140e-01 2.062494e-01
##  [3451] 4.548638e-01 4.675857e-02 9.426360e-01 3.922816e-02 7.491659e-02
##  [3456] 4.652082e-01 1.291629e-01 1.280638e-03 7.065403e-02 9.157353e-02
##  [3461] 1.444045e-01 1.438867e-03 2.308713e-03 4.289422e-02 3.408659e-01
##  [3466] 1.644837e-01 3.930557e-02 2.390381e-02 5.160153e-02 1.404448e-01
##  [3471] 4.575226e-01 6.317144e-03 3.078688e-01 3.785905e-01 4.540986e-02
##  [3476] 1.081958e-02 2.779589e-01 3.292328e-02 1.341248e-01 7.012391e-02
##  [3481] 1.757508e-01 6.090216e-02 4.766519e-02 7.680154e-02 1.563101e-01
##  [3486] 5.990913e-02 2.222842e-01 7.621294e-02 5.009330e-01 7.588378e-02
##  [3491] 7.282605e-01 3.251565e-03 1.595283e-01 1.149062e-01 2.702579e-01
##  [3496] 2.309915e-01 1.199843e-02 3.718826e-01 5.311632e-02 2.760563e-01
##  [3501] 6.964106e-03 5.258112e-02 1.269997e-01 7.966893e-02 1.953645e-01
##  [3506] 1.410575e-01 3.207284e-02 3.189393e-02 3.416024e-02 1.270232e-01
##  [3511] 1.114606e-02 5.990481e-04 3.780681e-02 2.230082e-01 2.597832e-02
##  [3516] 1.760578e-01 5.490599e-02 1.605162e-02 1.935869e-01 1.168860e+00
##  [3521] 1.463736e-01 1.953697e-01 2.770944e-02 8.512633e-01 1.080326e-01
##  [3526] 7.610501e-02 6.019082e-02 4.547874e-01 1.842935e-02 3.255155e-01
##  [3531] 6.536054e-01 2.708323e-01 3.108773e-02 1.971786e-01 2.731480e-01
##  [3536] 9.306964e-02 7.690654e-02 5.508855e-01 6.654839e-02 2.819446e-03
##  [3541] 5.449123e-01 8.424194e-01 6.631716e-02 1.706935e-01 1.967252e-01
##  [3546] 1.189423e+00 6.106070e-02 2.373518e-01 2.082180e-02 8.732896e-03
##  [3551] 2.735992e-01 7.847534e-02 8.421774e-02 5.686180e-01 6.165355e-02
##  [3556] 2.115521e-02 2.177745e-01 3.183915e-01 1.444475e-01 4.272203e-01
##  [3561] 3.303602e-01 4.088419e-01 1.772376e-01 1.438807e-01 5.777933e-02
##  [3566] 3.210294e-02 6.693976e-03 1.041453e-01 1.646959e-01 7.235949e-02
##  [3571] 2.243637e-01 7.956353e-02 2.547241e-01 8.933686e-02 1.194551e-02
##  [3576] 1.475696e-01 2.029907e-01 2.593634e-01 4.635005e-01 2.436372e-01
##  [3581] 2.119000e-01 2.567055e-02 1.085050e-01 3.261711e-01 2.596372e-02
##  [3586] 3.173921e-01 4.707098e-02 1.004913e-02 2.008857e-01 1.628958e-01
##  [3591] 7.368363e-02 1.221094e-01 3.746562e-02 2.250153e-01 5.045918e-01
##  [3596] 7.427708e-02 1.713753e-01 1.548141e-02 7.004242e-02 6.496424e-01
##  [3601] 5.186499e-01 1.581700e-01 4.393846e-02 4.232542e-02 1.282452e-02
##  [3606] 5.177000e-02 1.083721e-01 9.590076e-02 1.162559e-01 9.897166e-02
##  [3611] 3.211995e-01 1.065406e-01 6.627060e-02 4.469643e-01 6.348096e-02
##  [3616] 3.521879e-01 1.834418e-02 1.950027e-01 2.172080e-01 9.645652e-02
##  [3621] 2.511965e-02 2.076688e-01 2.885869e-01 1.539345e-01 1.494030e-01
##  [3626] 1.326206e-02 2.880446e-01 1.369758e-01 9.907315e-02 6.742169e-02
##  [3631] 1.759845e-01 5.473933e-01 7.056654e-02 2.585622e-01 3.176897e-02
##  [3636] 4.883629e-02 1.003278e-01 1.109428e+00 1.797885e-01 2.570904e-03
##  [3641] 2.516703e-01 9.225061e-02 4.063199e-01 2.822974e-01 4.598365e-01
##  [3646] 2.634159e-01 2.603667e-02 3.226684e-01 1.323530e-01 4.132061e-01
##  [3651] 2.053589e-01 2.137621e-01 7.241539e-02 5.855176e-02 5.358563e-01
##  [3656] 5.802268e-01 1.121458e-01 4.584584e-01 1.114282e-01 3.790701e-01
##  [3661] 1.033362e-01 5.715297e-02 8.200683e-02 1.668120e-02 2.030749e-01
##  [3666] 2.715019e-01 8.323545e-02 7.931397e-01 5.050595e-01 1.071773e-01
##  [3671] 1.110296e-01 4.799829e-02 3.053792e-02 1.907229e-01 9.691510e-01
##  [3676] 7.790622e-03 5.093830e-01 4.888594e-02 6.774604e-02 1.645144e-01
##  [3681] 2.492381e-01 7.429612e-03 2.422527e-02 4.129221e-02 2.484744e-02
##  [3686] 1.186813e-01 1.648040e-01 5.179340e-02 2.040541e-02 9.842397e-02
##  [3691] 3.704846e-02 1.299105e-02 1.714023e-01 4.915230e-01 2.050258e-01
##  [3696] 1.963523e-02 1.521214e-01 1.601615e-01 1.980037e-01 1.061296e-01
##  [3701] 1.115670e+00 6.367511e-03 1.200958e-01 2.287481e-01 3.582543e-01
##  [3706] 9.510518e-03 8.114788e-01 1.046066e-01 3.063609e-01 7.846192e-02
##  [3711] 1.886612e-01 2.921125e-02 4.567731e-01 7.014271e-01 1.278120e-01
##  [3716] 1.530823e-01 4.154055e-02 5.159819e-02 2.138119e-01 6.181721e-02
##  [3721] 1.520023e-01 6.961817e-01 1.829127e-01 7.702759e-01 1.499689e-01
##  [3726] 1.084235e-01 1.720233e-01 6.186027e-02 5.450854e-02 2.685202e-01
##  [3731] 8.446383e-02 1.665456e-01 1.709514e-01 1.066879e-02 6.865084e-01
##  [3736] 1.429609e-02 1.927305e-02 3.037921e-02 1.346918e-01 4.881756e-01
##  [3741] 1.508710e-01 2.553039e-01 9.210232e-02 1.100572e-01 7.908753e-02
##  [3746] 2.347946e-01 4.480901e-03 5.601529e-02 1.789717e-01 3.783720e-01
##  [3751] 1.595157e-01 2.041733e-01 1.053476e-01 6.285349e-01 2.352379e-01
##  [3756] 5.616553e-01 1.660528e-01 5.193190e-02 3.169417e-02 9.832279e-02
##  [3761] 6.521379e-02 6.307003e-02 1.216535e-01 3.363684e-01 8.583520e-01
##  [3766] 2.276783e-01 2.671848e-01 1.667819e-01 2.292568e-02 2.986210e-01
##  [3771] 3.942137e-02 5.688857e-02 1.789321e-01 1.056340e-01 2.077060e-02
##  [3776] 3.448554e-01 4.173296e-02 2.644082e-02 5.437342e-02 4.950443e-02
##  [3781] 1.877828e-02 8.946515e-01 5.951332e-03 1.139720e-02 7.811585e-03
##  [3786] 1.725309e-01 1.077534e-01 2.451941e-01 1.657996e-01 2.996994e-01
##  [3791] 1.259408e-01 1.192330e-01 1.588715e-01 2.072183e-01 2.144243e-01
##  [3796] 2.839268e-01 1.608356e-01 2.469785e-02 1.879516e-01 1.853927e-01
##  [3801] 1.835840e-01 2.183643e-01 7.829700e-02 1.301265e-02 9.462087e-02
##  [3806] 7.968666e-02 2.579671e-02 1.067155e-01 1.708522e-02 2.746934e-02
##  [3811] 4.413259e-04 4.833513e-02 2.149901e-01 1.542036e-01 2.602538e-03
##  [3816] 4.036689e-01 9.575634e-02 1.467520e-01 2.703205e-02 1.352690e-01
##  [3821] 9.260370e-02 5.762541e-01 1.759636e-01 1.104089e-01 8.055189e-02
##  [3826] 8.933318e-01 1.743239e-02 3.718188e-01 6.085434e-02 7.447780e-02
##  [3831] 1.511898e-01 1.486881e-01 8.325379e-01 1.438759e-02 1.525744e-01
##  [3836] 5.522705e-03 1.646357e-01 2.219934e-01 4.793073e-01 6.336962e-02
##  [3841] 4.285990e-01 1.957915e-01 1.296555e-01 3.853557e-02 2.470105e-01
##  [3846] 6.586078e-01 1.509533e-01 4.811714e-02 4.545566e-01 1.962476e-02
##  [3851] 1.605846e-01 1.510568e-02 6.833606e-02 1.358641e-01 2.433330e-01
##  [3856] 6.949774e-03 5.574996e-01 6.184167e-02 1.841322e-02 5.613218e-02
##  [3861] 4.287157e-02 2.221494e-01 3.871895e-01 2.871955e-01 2.143809e-01
##  [3866] 3.345765e-02 1.750362e-02 1.038639e-01 3.062117e-02 4.530691e-02
##  [3871] 2.220365e-01 3.129700e-02 3.158882e-01 9.511187e-02 5.399414e-01
##  [3876] 4.269179e-02 3.730786e-01 6.417758e-01 7.695935e-02 5.391969e-02
##  [3881] 9.733591e-02 2.923981e-01 5.379088e-01 2.812953e-02 2.422411e-02
##  [3886] 1.149087e-01 1.489911e-02 2.637500e-02 3.181363e-01 1.681799e-01
##  [3891] 1.921405e-01 4.574691e-01 3.387610e-01 1.399852e-01 1.899171e-02
##  [3896] 2.953492e-01 2.287834e-01 1.385415e-01 5.427326e-02 2.803898e-01
##  [3901] 1.407124e-02 3.863814e-01 1.412168e-01 5.059361e-02 2.020111e-01
##  [3906] 1.140681e-01 8.427548e-02 2.696305e-01 9.480616e-02 1.730678e-01
##  [3911] 3.186524e-01 2.520849e-01 1.324505e-01 4.407578e-03 3.314708e-01
##  [3916] 1.335585e-01 5.523935e-01 9.501213e-01 2.176411e-01 2.854644e-02
##  [3921] 5.849682e-02 6.437993e-02 1.347365e-01 9.645296e-02 1.050838e-02
##  [3926] 1.438742e-01 2.647452e-01 2.874471e-01 1.920547e-01 3.292745e-01
##  [3931] 1.180770e-01 8.582571e-02 9.618502e-02 9.480055e-02 2.454097e-01
##  [3936] 4.800713e-01 1.482849e-01 6.037913e-02 1.808846e-01 4.149291e-01
##  [3941] 8.489688e-02 4.353658e-02 3.693297e-01 6.298604e-03 2.974694e-01
##  [3946] 1.844837e-01 2.592620e-01 3.120061e-04 1.121226e-02 2.181901e-01
##  [3951] 3.660696e-01 4.645972e-02 9.390722e-02 1.713050e-01 1.155069e-01
##  [3956] 1.489656e-01 4.396144e-01 9.839750e-01 9.051975e-01 1.427971e-01
##  [3961] 2.031973e-01 8.408688e-03 2.074855e-01 6.341007e-02 2.912746e-01
##  [3966] 5.940368e-01 1.840897e-03 8.894846e-02 6.063354e-02 6.887687e-02
##  [3971] 2.307472e-01 8.034023e-02 2.648666e-01 1.454059e-01 2.423774e-01
##  [3976] 7.358588e-02 2.226106e-01 2.520671e-01 3.583021e-01 1.200025e-02
##  [3981] 1.922554e-01 1.336424e-01 5.853847e-01 1.794860e-01 2.463557e-01
##  [3986] 1.038688e-01 6.453869e-02 7.486790e-01 3.114877e-01 5.462943e-01
##  [3991] 4.783096e-01 3.129013e-01 1.665302e-01 2.068041e-01 9.733496e-02
##  [3996] 2.451724e-01 4.642036e-02 8.225902e-02 9.832209e-02 1.716482e-01
##  [4001] 1.122959e-01 7.717740e-02 6.342797e-02 1.020643e+00 2.536228e-01
##  [4006] 7.299450e-02 1.332442e-01 2.017960e-01 3.167434e-01 3.911231e-01
##  [4011] 7.138178e-02 1.820548e-02 3.905327e-01 9.727921e-02 3.112309e-01
##  [4016] 1.436604e-01 2.199741e-01 6.274821e-02 7.879959e-02 2.967749e-01
##  [4021] 1.734750e-01 2.105284e-01 4.363675e-02 2.292406e-02 6.684703e-02
##  [4026] 1.938601e-01 3.465442e-01 4.745205e-01 4.376735e-03 4.932985e-02
##  [4031] 1.161637e-01 9.445059e-02 4.678804e-02 7.058970e-02 6.039140e-02
##  [4036] 4.582694e-01 1.379332e-02 9.186714e-02 2.712342e-03 7.758891e-02
##  [4041] 4.112551e-01 1.245104e-01 1.122967e-01 4.958808e-02 8.182873e-02
##  [4046] 2.299881e-01 2.507560e-01 8.879006e-02 4.900227e-02 2.393142e-01
##  [4051] 1.480111e-01 5.718020e-02 3.095620e-02 2.179465e-01 1.298469e-03
##  [4056] 3.407168e-01 9.619719e-02 2.888928e-03 2.520911e-02 8.500428e-01
##  [4061] 3.156665e-01 5.229432e-03 5.546214e-02 7.306052e-03 3.534991e-01
##  [4066] 3.707778e-01 1.476333e-01 6.919252e-01 4.676273e-02 2.177726e-01
##  [4071] 3.261245e-01 5.686173e-01 1.504040e-01 3.749017e-01 2.737299e-03
##  [4076] 3.628471e-01 3.344021e-01 1.911322e-02 3.978157e-02 3.083438e-01
##  [4081] 3.071417e-01 1.245513e-01 2.699432e-01 3.051158e-01 9.799177e-02
##  [4086] 1.604829e-01 6.974729e-02 1.866399e-01 1.152536e-01 8.904765e-02
##  [4091] 5.406572e-02 3.206953e-02 1.395780e-01 4.176067e-01 1.895963e-01
##  [4096] 1.319971e-01 1.077133e-01 1.325802e-01 2.687138e-02 7.773381e-01
##  [4101] 3.186348e-01 5.537651e-02 3.077016e-02 2.713517e-01 6.546188e-02
##  [4106] 2.213036e-01 7.947087e-02 2.237192e-01 1.517701e-01 3.929510e-02
##  [4111] 4.906806e-02 8.516266e-02 3.741453e-01 4.116229e-02 6.919649e-02
##  [4116] 4.584013e-01 2.731545e-01 1.225378e-01 4.725024e-03 7.400965e-02
##  [4121] 3.064792e-02 1.673885e-01 5.301274e-01 8.557778e-03 1.421694e-01
##  [4126] 8.199922e-03 4.614064e-02 5.705421e-03 4.125075e-01 2.286097e-01
##  [4131] 3.475783e-01 3.534948e-01 8.918461e-02 7.119623e-01 1.892377e-01
##  [4136] 1.211306e-01 4.027186e-02 3.096544e-01 2.603261e-01 7.750964e-01
##  [4141] 2.138736e-02 4.498938e-01 8.803007e-02 6.598165e-01 5.093474e-02
##  [4146] 2.266195e-01 9.087070e-02 3.186621e-02 2.602643e-02 2.194962e-01
##  [4151] 1.050602e-01 3.688838e-01 1.955499e-02 3.924078e-02 1.927566e-01
##  [4156] 5.447633e-03 1.695263e-01 2.531293e-02 2.848189e-01 1.441341e-01
##  [4161] 1.953527e-02 2.967905e-01 3.859575e-02 2.728381e-02 5.653672e-01
##  [4166] 2.807721e-01 7.627868e-02 2.332734e-01 7.988926e-02 1.668939e-01
##  [4171] 9.359921e-02 1.707358e-01 1.342010e+00 4.510976e-01 7.087957e-02
##  [4176] 1.194623e-01 6.090377e-02 5.708155e-01 6.863827e-02 1.420555e-01
##  [4181] 3.581576e-01 3.765080e-02 2.086766e-01 5.525736e-02 1.007125e-01
##  [4186] 3.036712e-01 1.814459e-01 2.000264e-01 2.712100e-01 1.018223e+00
##  [4191] 2.474073e-01 4.313719e-02 1.340989e-01 1.288572e-01 1.560710e-02
##  [4196] 7.878185e-02 1.862598e-01 5.079302e-01 1.800687e-01 2.418777e-01
##  [4201] 1.305759e-02 1.565921e-01 6.803998e-01 1.493671e-01 5.814085e-02
##  [4206] 4.543362e-01 3.255036e-01 1.362932e-01 1.363720e-01 1.020523e-01
##  [4211] 6.828967e-01 3.823344e-01 2.645734e-01 1.516792e-01 6.678051e-01
##  [4216] 1.970432e-01 4.009223e-01 8.331187e-02 2.554784e-01 1.416952e-01
##  [4221] 5.601515e-02 1.702586e-01 1.684193e-01 1.772194e-01 1.498655e-01
##  [4226] 1.038050e-01 5.263638e-01 3.554904e-01 1.702823e-01 2.536360e-01
##  [4231] 3.069812e-03 4.050006e-01 4.093203e-01 6.306488e-03 1.052432e-01
##  [4236] 1.108436e-01 3.458199e-01 3.832917e-01 4.835954e-01 1.724138e-01
##  [4241] 1.033404e-01 3.263031e-01 2.300472e-02 3.203723e-02 8.111659e-02
##  [4246] 1.660646e-02 1.426477e-01 4.936274e-01 2.424018e-02 2.642842e-01
##  [4251] 1.581927e-01 3.183350e-02 7.948648e-02 2.549206e-01 1.223253e-02
##  [4256] 1.100640e-01 3.269274e-01 1.679169e-01 6.702829e-01 2.956264e-01
##  [4261] 6.056796e-01 9.797621e-02 2.164205e-01 1.756738e-01 3.564654e-01
##  [4266] 8.456429e-02 6.025925e-01 1.440723e-01 1.060004e-01 1.473662e-02
##  [4271] 1.686813e-02 6.915188e-03 6.751058e-01 5.827938e-03 2.092914e-01
##  [4276] 3.476693e-01 1.752224e-01 6.257298e-01 1.424015e-02 2.523335e-01
##  [4281] 2.261676e-01 6.046707e-02 6.591355e-02 1.969522e-01 2.109734e-01
##  [4286] 1.060047e-01 7.140748e-03 3.789212e-01 2.608650e-01 8.413722e-02
##  [4291] 2.220471e-02 2.265801e-01 7.963185e-03 1.938559e-01 1.081835e+00
##  [4296] 8.715872e-02 8.501126e-02 2.852017e-01 5.077554e-02 4.377780e-02
##  [4301] 2.730652e-01 1.521665e-02 4.562241e-01 1.825667e-01 1.561761e-01
##  [4306] 1.272892e-01 4.985295e-01 2.179791e-01 1.247314e-01 2.047386e-01
##  [4311] 4.302513e-02 1.501982e-01 6.301887e-03 2.917668e-01 5.984510e-02
##  [4316] 3.320245e-02 8.361863e-02 9.354092e-01 8.286441e-02 2.284007e-02
##  [4321] 2.536150e-01 1.459978e+00 4.246075e-03 3.512562e-02 2.529036e-02
##  [4326] 7.445151e-02 1.815243e-01 5.128619e-01 5.022698e-01 6.264614e-02
##  [4331] 1.735064e-01 2.121998e-02 6.554341e-02 1.511711e-02 2.568704e-01
##  [4336] 8.469431e-03 9.456294e-05 3.493645e-01 3.110043e-02 2.736098e-01
##  [4341] 5.341132e-02 5.510125e-02 1.001274e-01 3.674864e-02 8.878691e-02
##  [4346] 4.362255e-01 1.155828e-01 2.140271e-01 6.076819e-02 1.476681e-01
##  [4351] 8.118951e-02 5.475031e-01 1.350033e-01 2.108000e-02 2.422215e-01
##  [4356] 7.005934e-02 5.184929e-01 2.199224e-01 3.686950e-01 4.224865e-01
##  [4361] 1.394822e-01 1.096579e-01 1.626426e-01 1.466776e-02 1.111315e-01
##  [4366] 2.178908e-02 3.258414e-01 1.807487e-01 4.284630e-02 4.232295e-03
##  [4371] 3.236675e-01 3.301344e-01 8.918502e-02 2.002054e-01 1.421285e+00
##  [4376] 1.160574e+00 7.238521e-01 8.745997e-02 4.142408e-01 1.221124e-01
##  [4381] 3.043812e-02 2.260562e-02 1.416309e-01 3.207345e-02 1.265010e-01
##  [4386] 1.853885e-01 4.689783e-02 4.430683e-01 4.575701e-01 3.718840e-01
##  [4391] 2.617782e-01 1.600186e-01 5.895645e-01 2.986549e-01 5.202795e-01
##  [4396] 5.493538e-02 1.536682e-01 1.631045e-01 2.807150e-02 4.755408e-01
##  [4401] 1.169600e-02 4.656028e-02 2.399440e-01 4.208544e-02 1.542633e-01
##  [4406] 8.121909e-02 1.676286e-01 1.782874e-01 1.265950e+00 6.844404e-02
##  [4411] 5.177914e-01 2.323476e-01 1.003259e-01 9.964826e-02 1.088516e-03
##  [4416] 1.793609e-01 2.053165e-01 7.821260e-01 6.898207e-01 1.398268e-01
##  [4421] 1.456316e-01 1.913602e-01 3.304224e-01 1.858624e-01 1.457641e-01
##  [4426] 1.045921e-01 3.360395e-01 9.081394e-02 5.938220e-01 2.956154e-01
##  [4431] 3.034383e-02 3.547282e-02 3.448751e-01 9.108329e-02 1.089708e-01
##  [4436] 2.306788e-01 1.004337e-01 2.557836e-02 1.166138e-01 7.196168e-02
##  [4441] 1.944086e-01 5.181912e-02 8.646590e-02 7.058734e-02 6.559480e-02
##  [4446] 2.340596e-01 1.759286e-02 1.693706e-01 1.731591e-01 2.796610e-01
##  [4451] 1.292288e-01 1.132261e-01 2.114693e-01 8.099037e-02 5.218273e-01
##  [4456] 8.588879e-02 6.028397e-02 2.134852e-01 2.703530e-01 1.203436e-02
##  [4461] 9.355356e-02 4.650745e-01 3.767223e-01 9.717023e-02 8.698371e-04
##  [4466] 9.255439e-02 1.423827e-01 2.518444e-02 2.417363e-01 1.815305e-01
##  [4471] 5.381056e-01 2.864893e-01 6.004058e-02 3.977035e-01 2.490565e-01
##  [4476] 7.152208e-01 1.709684e-01 2.606855e-01 1.851778e-02 1.544172e-01
##  [4481] 1.660465e-01 1.655785e-02 7.453611e-03 3.266765e-01 1.201857e-01
##  [4486] 4.972264e-03 1.670595e-01 3.861213e-01 5.755752e-02 5.524611e-01
##  [4491] 2.035268e-02 1.182987e-01 1.366935e-01 3.963418e-01 2.793563e-01
##  [4496] 1.122156e-01 3.019231e-01 4.940362e-02 2.281598e-02 1.201228e-02
##  [4501] 4.761969e-02 9.345893e-01 2.007023e-01 2.561493e-02 9.114852e-02
##  [4506] 1.066414e-01 3.864472e-01 8.080109e-02 2.012451e-01 6.738855e-03
##  [4511] 8.793114e-02 1.770662e-01 3.531002e-01 3.647906e-01 9.760163e-03
##  [4516] 1.941086e-01 1.373709e-01 2.064419e-01 1.435576e-01 3.036027e-01
##  [4521] 5.268699e-02 1.726416e-01 1.285037e-01 1.457757e-02 4.246827e-01
##  [4526] 6.098889e-02 1.591073e-01 3.246270e-01 6.176789e-02 5.508700e-02
##  [4531] 4.770838e-01 9.542069e-02 6.326974e-01 3.206248e-02 1.673321e-01
##  [4536] 2.264348e-01 5.023617e-02 2.919831e-02 8.509858e-01 7.013239e-01
##  [4541] 8.655202e-02 6.372184e-02 4.745911e-02 1.292434e-01 7.839602e-03
##  [4546] 2.145047e-01 3.191921e-01 1.091214e-01 5.617652e-02 1.404833e-01
##  [4551] 1.016167e-02 3.692500e-02 1.923425e-01 1.613962e-01 9.945460e-02
##  [4556] 1.315252e-01 2.947951e-01 3.244672e-01 2.802596e-01 2.278523e-03
##  [4561] 5.330078e-01 4.214630e-01 1.836890e+00 3.117831e-01 1.820185e-01
##  [4566] 1.350339e+00 1.048533e-01 5.450790e-02 2.819382e-01 2.827057e-01
##  [4571] 1.786683e-01 1.786837e-01 7.927419e-01 4.785033e-01 2.050636e-01
##  [4576] 5.378851e-01 1.951490e-01 7.518556e-02 5.169760e-02 7.866318e-01
##  [4581] 1.130901e-01 4.701025e-01 3.143890e-02 2.921999e-01 4.036061e-01
##  [4586] 2.174291e-01 1.136070e-01 4.155459e-02 3.003872e-01 2.744330e-01
##  [4591] 6.055207e-01 5.998620e-02 2.755343e-01 1.715312e-02 5.033178e-01
##  [4596] 1.221826e-01 1.056325e-01 5.176674e-02 2.323298e-01 8.105238e-02
##  [4601] 1.433322e-01 7.616820e-02 1.009981e-02 1.282202e-01 2.573108e-01
##  [4606] 2.112526e-01 3.476566e-01 4.042555e-01 2.600231e-01 7.311400e-03
##  [4611] 3.479540e-01 1.714017e-01 3.072945e-01 1.702658e-01 4.498140e-01
##  [4616] 3.116649e-01 7.880779e-02 1.478240e-01 9.272356e-03 3.494770e-02
##  [4621] 3.513419e-03 2.464344e-01 1.592537e-02 4.769015e-02 2.743175e-03
##  [4626] 1.260809e-01 1.524825e-01 1.907274e-01 3.417128e-01 4.729255e-01
##  [4631] 4.153275e-01 1.467458e-01 5.374365e-02 4.713904e-01 2.010576e-01
##  [4636] 3.765630e-01 4.623315e-01 1.904751e-02 1.757157e-01 1.290522e-01
##  [4641] 1.623185e-01 1.456083e-01 5.772911e-02 1.232903e-01 2.684989e-01
##  [4646] 9.758292e-02 2.199160e-01 6.307422e-02 5.519163e-02 1.247993e-01
##  [4651] 2.281361e-01 8.470331e-02 5.749766e-02 7.940975e-02 1.316352e-01
##  [4656] 2.157516e-01 9.352831e-03 1.746467e-01 4.841306e-02 1.182583e-01
##  [4661] 2.041221e-01 1.079682e-01 1.931310e-01 1.514719e-01 1.129246e-01
##  [4666] 4.457786e-01 1.070031e-01 5.950969e-01 1.108451e-01 1.357230e-01
##  [4671] 1.021123e-02 1.329384e-01 2.040051e-02 1.588238e-02 7.563217e-02
##  [4676] 7.831405e-01 6.142107e-02 4.930026e-01 1.753531e-01 5.475412e-02
##  [4681] 4.451346e-02 1.724627e-03 1.459845e-01 3.884567e-01 2.621886e-03
##  [4686] 1.226797e-01 1.696555e-02 3.275783e-01 3.539252e-02 1.916499e-01
##  [4691] 1.207275e-01 8.428812e-01 3.560318e-02 6.591308e-03 5.059050e-01
##  [4696] 5.600338e-01 1.176800e-01 3.202616e-01 4.059926e-02 3.174913e-01
##  [4701] 2.329087e-01 4.570882e-01 1.771927e-01 3.878947e-01 9.919734e-02
##  [4706] 5.185813e-01 1.895258e-01 8.453674e-02 1.934724e-01 3.661212e-01
##  [4711] 1.144215e-01 2.824831e-01 2.815653e-01 1.110929e-01 2.747497e-01
##  [4716] 8.636077e-02 3.225454e-01 4.982455e-01 4.053020e-01 7.643036e-01
##  [4721] 3.816060e-02 8.902604e-02 1.556132e-02 4.681046e-01 5.234909e-01
##  [4726] 5.354015e-02 8.908009e-02 1.450555e-02 5.383943e-01 4.818918e-01
##  [4731] 2.766533e-01 2.168965e-01 2.032600e-01 6.772085e-01 1.652976e-01
##  [4736] 1.363028e-02 1.642858e-01 5.507410e-03 4.599701e-03 4.134779e-01
##  [4741] 2.377037e-01 1.446806e-01 4.700906e-03 1.735247e-01 5.875923e-02
##  [4746] 6.444026e-02 4.874525e-02 6.674167e-01 3.417176e-01 1.700454e-01
##  [4751] 1.626553e-01 6.778691e-01 6.151012e-02 4.547310e-02 6.187354e-02
##  [4756] 4.686044e-02 2.231483e-01 2.436046e-03 6.076604e-02 6.001320e-02
##  [4761] 2.142062e-01 1.428853e-02 1.128146e-01 1.598381e-01 5.500700e-01
##  [4766] 1.466432e-01 2.897809e-02 6.232165e-02 8.819907e-01 6.532151e-02
##  [4771] 1.573985e-01 7.722540e-02 5.982569e-02 2.152706e-02 7.134748e-01
##  [4776] 1.975244e-01 1.126437e-01 1.780326e-01 3.197681e-01 3.231179e-01
##  [4781] 7.560843e-03 4.553021e-01 2.574511e-04 1.028998e-01 3.147887e-03
##  [4786] 3.120990e-01 5.829189e-02 4.364983e-01 1.577268e-02 1.308142e-01
##  [4791] 6.803315e-01 1.503718e-01 3.640933e-02 1.498977e-01 7.803594e-02
##  [4796] 3.219978e-01 6.808060e-02 1.139849e-01 7.316217e-01 8.677706e-02
##  [4801] 9.090897e-01 3.069394e-01 1.417989e-02 8.063340e-04 7.954875e-02
##  [4806] 1.950597e-02 1.802734e-01 5.045722e-01 9.619093e-02 3.881886e-04
##  [4811] 5.093793e-02 1.339786e-01 7.985632e-02 9.344282e-03 7.897280e-02
##  [4816] 3.504659e-01 1.314613e-01 7.148667e-02 1.093178e-02 1.275295e-01
##  [4821] 3.460235e-02 3.383933e-02 4.340878e-01 5.183904e-02 4.238365e-02
##  [4826] 1.288022e-01 1.902710e-02 2.923668e-01 1.750538e-02 1.836695e-01
##  [4831] 2.443448e-02 6.322587e-02 1.048611e-01 1.571278e-01 4.276478e-01
##  [4836] 2.284953e-01 3.361872e-01 6.608573e-01 1.444033e-01 6.598696e-02
##  [4841] 1.877212e-02 2.344795e-01 3.022997e-02 3.641391e-02 3.578665e-02
##  [4846] 5.160985e-01 7.743049e-02 5.442464e-02 7.339421e-01 7.458013e-02
##  [4851] 4.433777e-01 5.383939e-01 5.652407e-01 1.136641e-01 1.222980e+00
##  [4856] 2.211999e-01 1.112520e-01 5.227705e-03 8.663564e-01 1.245867e-01
##  [4861] 5.413068e-01 4.632847e-02 2.030714e-01 1.565278e-01 2.868404e-01
##  [4866] 5.139365e-01 1.753751e-01 6.471152e-01 4.113864e-02 2.659084e-01
##  [4871] 3.177763e-01 8.341256e-02 3.841570e-02 1.080258e-03 3.766490e-02
##  [4876] 6.104167e-01 2.152338e-01 2.010111e-01 2.355255e-01 6.447288e-02
##  [4881] 4.642246e-02 1.020493e-01 2.377316e-02 1.953831e-01 6.517702e-01
##  [4886] 2.225665e-02 4.328307e-01 3.212420e-02 1.243038e-01 7.510868e-02
##  [4891] 3.639503e-02 2.804332e-02 1.458617e-01 2.374323e-03 1.011332e-01
##  [4896] 3.805509e-01 4.962725e-01 4.404035e-01 7.740885e-03 2.749404e-01
##  [4901] 4.465139e-01 4.293736e-01 8.204599e-02 5.173996e-02 3.726944e-01
##  [4906] 3.688944e-02 4.297758e-02 7.990373e-03 1.457170e-01 5.283429e-03
##  [4911] 1.884748e-02 5.340490e-01 5.219521e-02 7.625807e-02 5.406985e-01
##  [4916] 2.531991e-03 1.849288e-01 6.058870e-01 6.666747e-01 2.862791e-01
##  [4921] 5.968961e-02 1.046039e-01 3.535520e-01 2.149851e-01 2.088263e-01
##  [4926] 1.407079e-01 6.292111e-01 1.866685e-01 3.924287e-01 5.142368e-02
##  [4931] 1.670782e-01 1.642125e-01 2.763854e-01 1.771868e-02 9.269368e-02
##  [4936] 3.800587e-01 3.524567e-03 1.895346e-01 9.138329e-02 3.598256e-02
##  [4941] 8.891083e-02 2.269968e-01 5.464131e-03 2.447202e-01 3.324172e-02
##  [4946] 1.856528e-03 4.401771e-01 1.401776e-01 2.400825e-02 1.934928e-03
##  [4951] 3.828547e-02 2.372244e-01 7.269737e-02 3.637716e-02 1.537836e-01
##  [4956] 6.170308e-01 3.307482e-03 1.489383e-01 6.395095e-02 1.426263e-01
##  [4961] 5.231862e-01 1.276618e-01 4.381563e-01 2.729568e-01 1.826269e-03
##  [4966] 7.021956e-03 5.581749e-02 1.416844e-01 2.482142e-01 3.369039e-01
##  [4971] 1.649803e-01 3.242123e-02 8.794183e-02 1.965099e-01 3.420793e-01
##  [4976] 1.044776e-02 1.188443e-01 1.012470e-01 9.492217e-02 1.549980e-01
##  [4981] 1.016080e-01 1.867445e-01 9.881233e-02 1.307138e-01 9.934619e-01
##  [4986] 6.300826e-02 1.577401e-01 2.857088e-01 1.379237e-01 1.104415e-01
##  [4991] 1.710777e-01 3.320665e-01 7.880521e-02 4.111984e-01 1.721098e-01
##  [4996] 1.799621e-03 1.444194e-01 8.575508e-02 6.222471e-02 3.467879e-02
##  [5001] 9.196920e-01 5.635300e-02 2.729731e-01 1.435860e-02 4.157387e-02
##  [5006] 8.111852e-02 1.750433e-02 1.738926e-01 1.697669e-01 1.907973e-01
##  [5011] 3.117313e-01 1.547222e-01 1.962620e-01 3.301357e-02 5.677181e-01
##  [5016] 7.692389e-02 2.442036e-01 3.110867e-02 2.336738e-01 7.710135e-02
##  [5021] 1.481011e-01 4.651726e-01 1.840828e-01 9.634177e-02 1.624036e-01
##  [5026] 1.564239e-01 1.395635e-01 2.869573e-01 5.163958e-02 2.978083e-02
##  [5031] 2.089372e-01 3.417748e-01 1.823195e+00 2.073287e-01 5.689010e-02
##  [5036] 1.288874e-01 3.112751e-01 2.862257e-01 3.596975e-01 1.332072e-01
##  [5041] 1.710837e-01 4.650711e-01 3.393947e-03 2.982307e-01 1.226199e-01
##  [5046] 3.003247e-03 2.805338e-01 4.278642e-01 6.842213e-02 5.706295e-02
##  [5051] 3.329921e-01 1.171515e-01 1.865614e-02 1.673216e-01 6.074271e-01
##  [5056] 3.481770e-02 3.552294e-01 4.741361e-01 3.615140e-01 2.794720e-01
##  [5061] 2.258667e-01 3.032279e-01 6.042133e-02 1.051124e-01 1.515419e-02
##  [5066] 1.117114e-01 3.910974e-01 4.051904e-01 1.990255e-01 6.960229e-02
##  [5071] 5.002333e-02 4.737376e-02 2.551829e-01 3.431882e-01 1.484053e-01
##  [5076] 1.103846e-01 1.490559e-01 3.433156e-01 8.319006e-02 1.371666e-01
##  [5081] 5.706001e-02 2.697871e-01 4.602403e-01 3.977630e-02 6.855829e-01
##  [5086] 4.418925e-01 2.310538e-01 6.959970e-02 4.002880e-01 1.638195e-01
##  [5091] 5.223910e-02 2.066391e-02 7.426165e-02 1.287883e-01 2.344693e-01
##  [5096] 5.191075e-02 2.269743e-01 2.627797e-01 8.490524e-02 1.192082e-01
##  [5101] 2.593362e-01 1.642005e-01 9.811084e-02 1.436672e-01 5.611015e-01
##  [5106] 1.290113e-01 1.494913e-01 1.002631e-01 7.998970e-02 1.097227e-03
##  [5111] 6.466959e-02 2.389103e-01 2.930047e-01 2.474747e-01 1.420252e-02
##  [5116] 1.569813e-01 9.771527e-02 6.389790e-01 5.003997e-01 6.696392e-02
##  [5121] 4.430327e-01 7.112325e-02 1.024642e-01 7.992985e-02 1.022650e-01
##  [5126] 1.492466e-01 1.784269e-01 3.672526e-04 3.523710e-02 9.417682e-02
##  [5131] 1.392117e-01 2.528013e-01 3.620721e-01 3.358393e-01 8.006261e-02
##  [5136] 7.001610e-02 1.808582e-02 1.216699e-01 3.240380e-02 4.932346e-02
##  [5141] 2.570663e-01 5.272715e-02 8.364197e-02 5.012504e-02 5.285810e-02
##  [5146] 7.901635e-02 1.693975e-02 4.479103e-01 2.664348e-01 1.988638e-01
##  [5151] 6.208652e-02 2.009504e-02 7.140540e-02 8.792774e-02 2.130438e-01
##  [5156] 5.020881e-02 1.796367e-01 3.218768e-01 1.409269e-01 9.223020e-02
##  [5161] 3.969649e-01 3.598681e-01 1.764116e-01 3.558560e-02 2.522967e-03
##  [5166] 1.868476e-01 4.489323e-02 3.022940e-01 3.777369e-02 1.131123e-02
##  [5171] 9.359565e-02 4.269100e-01 8.680136e-02 2.518061e-01 4.466986e-02
##  [5176] 9.787867e-02 1.412111e-01 4.756275e-01 7.989566e-01 2.735629e-01
##  [5181] 8.043522e-02 6.777029e-01 9.611184e-02 6.470778e-02 1.265126e-01
##  [5186] 3.280061e-01 2.620650e-01 3.351441e-01 1.118367e-01 1.652330e-01
##  [5191] 4.876005e-02 7.603215e-01 2.215447e-01 1.558902e-01 1.731747e-02
##  [5196] 2.547480e-01 6.323187e-02 8.812583e-02 3.981276e-01 5.675994e-02
##  [5201] 6.889937e-02 1.199606e-01 2.245496e-01 2.780411e-01 3.234467e-01
##  [5206] 1.898670e-01 6.874654e-01 3.268182e-01 1.216898e-01 1.896461e-02
##  [5211] 6.240487e-03 2.728235e-02 3.104200e-01 3.246401e-01 1.241101e-01
##  [5216] 5.192082e-02 9.384371e-02 1.368375e-01 3.595937e-02 3.305832e-01
##  [5221] 5.253897e-01 1.248030e-02 3.185542e-02 1.843037e-01 8.701101e-02
##  [5226] 3.234307e-01 1.269967e-01 3.169694e-01 6.431458e-02 2.446100e-01
##  [5231] 3.418702e-01 2.311282e-01 1.728319e-01 1.827168e-01 1.353699e-01
##  [5236] 2.745101e-01 8.468693e-02 1.988949e-01 1.040136e-01 2.045844e-02
##  [5241] 2.179017e-01 4.321334e-02 1.806638e-02 2.981687e-02 1.688219e-01
##  [5246] 1.702283e-01 8.009475e-02 1.757521e-01 4.298394e-03 1.330577e-01
##  [5251] 1.686019e-02 2.706368e-01 3.533859e-01 2.221110e-01 1.027487e-01
##  [5256] 4.943493e-01 7.601544e-02 1.671560e-02 2.689618e-02 6.279582e-03
##  [5261] 1.075274e-01 2.644032e-01 3.295426e-01 7.315379e-02 3.037059e-01
##  [5266] 3.336982e-02 1.556995e-01 9.180036e-02 2.296365e-01 2.968804e-01
##  [5271] 1.677182e-01 4.672542e-02 1.065313e-01 7.582882e-01 6.351060e-02
##  [5276] 4.040711e-02 1.245617e-01 5.069628e-01 1.229277e-01 4.058697e-03
##  [5281] 2.044088e-01 1.577487e-01 3.783169e-01 1.422735e-01 1.220246e-01
##  [5286] 1.355136e-01 2.180085e-01 1.493075e-03 3.719472e-02 6.737667e-03
##  [5291] 1.128175e-01 2.338599e-01 5.575183e-02 6.979693e-02 1.303518e-01
##  [5296] 4.887098e-01 2.180190e-01 3.136676e-01 6.180507e-02 1.926471e-01
##  [5301] 3.610986e-02 4.239673e-02 6.306600e-01 2.587713e-01 4.977771e-03
##  [5306] 5.498428e-02 1.349895e-02 6.384668e-01 7.202179e-03 1.657334e-01
##  [5311] 8.485046e-02 1.243395e-01 3.666834e-01 4.174271e-02 1.546370e-01
##  [5316] 2.586397e-01 3.228818e-02 3.043008e-01 4.280387e-01 9.313781e-02
##  [5321] 1.669730e-01 8.779540e-02 7.193161e-01 3.543883e-01 8.087909e-02
##  [5326] 9.611486e-02 1.000965e-01 1.714550e-01 1.961165e-02 1.579767e-01
##  [5331] 1.524570e-01 2.152649e-01 3.620569e-01 1.620896e-01 1.142115e-01
##  [5336] 6.490382e-02 1.220382e-01 1.916553e-01 8.617653e-02 4.020617e-02
##  [5341] 1.515002e-02 2.801480e-02 1.958259e-02 1.662238e-02 1.520437e-02
##  [5346] 4.852426e-01 1.404935e-01 3.811789e-03 2.330712e-01 1.395858e-01
##  [5351] 1.627907e-03 2.641248e-01 2.389024e-01 2.780888e-02 1.009402e-01
##  [5356] 5.591327e-01 1.177161e-01 4.231770e-01 6.460875e-02 4.378858e-01
##  [5361] 1.227282e-01 1.456964e-01 1.089833e-01 1.487660e-01 1.106225e-01
##  [5366] 1.302455e-02 1.243679e-01 1.306635e-02 7.233450e-01 1.268561e-01
##  [5371] 4.786564e-02 1.450062e-01 9.408179e-02 9.716930e-02 6.884724e-02
##  [5376] 6.722281e-02 3.643538e-02 4.584827e-02 1.351397e-01 2.514031e-01
##  [5381] 1.169295e-01 5.791400e-01 5.193625e-02 4.135620e-02 8.927797e-02
##  [5386] 3.177887e-01 1.610714e-01 4.611433e-03 8.981340e-02 4.145855e-01
##  [5391] 7.651071e-02 1.434976e-01 1.382829e-01 2.672396e-01 7.158292e-02
##  [5396] 3.710540e-01 1.462664e-01 9.157750e-02 3.651071e-02 9.433752e-04
##  [5401] 9.121320e-02 1.441006e-01 1.256890e-02 6.059227e-02 3.689694e-02
##  [5406] 8.190083e-02 8.866761e-01 2.017495e-01 1.790240e-01 7.310026e-02
##  [5411] 5.279143e-02 3.884260e-01 3.457287e-02 5.895528e-01 2.503892e-01
##  [5416] 8.515242e-02 3.760834e-02 2.121607e-02 5.633382e-01 9.269581e-02
##  [5421] 5.716487e-01 1.427835e-01 3.926264e-02 3.164077e-02 1.117099e-01
##  [5426] 2.367562e-01 5.303754e-02 3.927633e-01 2.016287e-01 1.512802e-01
##  [5431] 1.885928e-02 4.622844e-01 2.908683e-01 1.964948e-02 3.911960e-02
##  [5436] 2.153519e-01 1.314432e-02 9.166478e-03 1.456439e-01 2.036205e-02
##  [5441] 1.185611e-01 3.092796e-01 2.366933e-01 2.455332e-01 1.971659e-01
##  [5446] 7.825238e-03 2.748068e-02 5.122522e-02 3.154305e-02 4.469562e-01
##  [5451] 1.653330e-01 2.249591e-02 1.285573e-01 2.360923e-01 3.643542e-01
##  [5456] 7.078291e-02 2.134900e-01 2.068369e-01 7.108654e-02 4.989068e-02
##  [5461] 3.240693e-01 1.010715e-01 4.868656e-01 3.408234e-01 9.129360e-03
##  [5466] 5.776538e-01 2.342384e-02 9.746401e-02 6.103784e-01 4.164884e-02
##  [5471] 8.352493e-02 6.124702e-02 4.792857e-02 1.677476e-01 2.163709e-01
##  [5476] 8.464810e-02 4.668562e-01 1.488312e-01 3.109128e-02 8.258304e-02
##  [5481] 1.441144e-01 6.507565e-01 5.278115e-02 7.353206e-02 3.174133e-02
##  [5486] 8.007545e-02 3.135134e-01 4.725466e-02 4.406023e-01 2.095532e-01
##  [5491] 1.193301e-03 2.967699e-02 2.277660e-02 1.604385e-01 3.517996e-02
##  [5496] 1.291875e-01 1.465600e-01 1.772643e-01 1.908065e-02 2.445058e-03
##  [5501] 1.309019e-01 6.711864e-01 3.809999e-02 2.104893e-02 1.932197e-01
##  [5506] 7.987592e-02 3.818300e-02 1.062465e-01 5.688090e-02 4.020672e-02
##  [5511] 3.366298e-01 3.073853e-01 1.049721e-01 1.127835e-01 3.178889e-01
##  [5516] 1.554880e-01 6.279904e-02 2.019648e-01 2.576660e-01 3.483748e-01
##  [5521] 4.116813e-01 1.310248e-01 2.163411e-01 3.967493e-02 1.515432e-01
##  [5526] 1.489515e-01 8.446595e-02 3.014382e-01 2.118021e-01 1.747817e-01
##  [5531] 2.330184e-01 1.054785e-01 1.423788e-01 2.206583e-01 7.892092e-02
##  [5536] 3.552121e-02 8.838166e-02 3.377208e-01 2.377198e-01 4.128320e-02
##  [5541] 1.026393e-01 6.270454e-01 6.547303e-02 5.644263e-02 2.737122e-02
##  [5546] 9.020245e-02 1.546310e-01 2.624512e-02 1.750088e-01 2.971232e-02
##  [5551] 6.882817e-01 8.496997e-02 6.650014e-01 1.544048e-01 1.042589e-01
##  [5556] 5.904885e-03 8.232786e-01 2.463705e-02 1.142851e-02 2.722435e-01
##  [5561] 4.291611e-01 5.497645e-01 9.244946e-02 3.762599e-02 1.383325e-02
##  [5566] 6.649523e-01 4.613486e-02 9.554045e-02 4.346082e-01 1.763235e-01
##  [5571] 1.565386e-02 8.515052e-01 1.150009e-01 1.228643e-01 3.687808e-03
##  [5576] 1.945078e-01 8.331772e-01 3.554913e-01 7.201619e-02 1.221937e-01
##  [5581] 3.955894e-02 1.180646e-01 7.300960e-02 1.200466e-01 6.323079e-02
##  [5586] 1.315560e-02 6.944558e-01 6.299763e-01 1.292684e-01 5.098375e-01
##  [5591] 3.142456e-03 3.162805e-02 2.217756e-01 2.772272e-02 3.912505e-01
##  [5596] 3.277633e-02 6.926716e-03 3.111306e-02 3.081117e-01 2.292225e-01
##  [5601] 1.664229e-02 4.140579e-01 2.367240e-02 2.612907e-01 1.158180e-01
##  [5606] 5.789301e-01 1.827572e-01 2.552074e-01 1.026111e+00 2.877166e-03
##  [5611] 5.303338e-02 1.866751e-01 1.159938e-01 4.254685e-01 1.734620e-01
##  [5616] 2.517529e-01 2.217820e-01 1.221484e+00 1.820636e-01 1.248563e-02
##  [5621] 1.302769e-02 4.843350e-01 1.448248e-01 4.928163e-01 4.255223e-01
##  [5626] 2.095280e-01 3.842839e-02 8.926454e-02 5.332849e-02 3.273944e-01
##  [5631] 3.216419e-01 3.314220e-01 2.581209e-03 6.720878e-01 3.727442e-02
##  [5636] 3.194219e-01 1.002645e-01 3.573815e-02 2.951971e-01 5.099273e-02
##  [5641] 2.744446e-02 1.825398e-02 3.354036e-01 6.074286e-02 3.187984e-02
##  [5646] 1.970352e-01 1.965451e-01 1.483736e-01 7.525527e-02 2.187043e-02
##  [5651] 7.223766e-02 1.388081e-01 1.662011e-01 2.799189e-01 7.753242e-02
##  [5656] 4.404230e-02 6.450649e-01 5.147094e-02 1.979527e-01 2.430806e-02
##  [5661] 5.080939e-01 1.099535e-01 2.690786e-01 1.294509e-01 2.313760e-01
##  [5666] 3.401350e-02 2.313392e-01 9.821458e-02 9.222067e-01 8.853110e-02
##  [5671] 1.747006e-01 8.570347e-02 2.448366e-02 3.591108e-01 8.368428e-03
##  [5676] 8.470136e-02 9.295370e-03 7.816219e-02 2.044407e-01 4.674705e-01
##  [5681] 8.242321e-02 1.004010e-01 2.616339e-01 2.362562e-01 1.572587e-01
##  [5686] 4.492350e-01 6.374767e-02 1.591529e-01 1.887096e-02 6.208168e-02
##  [5691] 4.730999e-01 1.508779e-01 3.464165e-01 1.202322e-01 1.224434e-01
##  [5696] 6.571442e-02 2.857808e-01 8.566309e-02 4.491904e-01 1.405587e-01
##  [5701] 3.509327e-01 2.149804e-01 2.294181e-01 9.077421e-02 2.845184e-01
##  [5706] 2.692855e-02 9.600458e-02 1.003017e-01 2.209074e-01 2.783739e-01
##  [5711] 1.950034e-03 3.618401e-01 2.025371e-01 1.580925e-01 4.526751e-02
##  [5716] 3.150486e-01 3.163446e-02 4.056793e-01 2.852659e-04 4.911758e-01
##  [5721] 3.376110e-01 3.888674e-02 1.048324e-01 1.156819e-01 2.281660e-01
##  [5726] 6.625116e-02 1.549637e-01 1.116659e-03 5.526612e-02 1.384395e-02
##  [5731] 1.227761e-01 1.226369e-01 1.616649e-01 2.140182e-02 1.285576e-01
##  [5736] 2.484350e-01 1.014378e-01 1.196004e-01 6.869412e-01 4.735593e-02
##  [5741] 4.399444e-01 2.818903e-02 3.631384e-02 8.540728e-02 2.103009e-01
##  [5746] 2.388899e-01 3.581853e-01 6.379390e-01 8.825961e-02 1.357398e-01
##  [5751] 1.831276e-01 8.845270e-02 2.000973e-01 9.057795e-02 7.447499e-01
##  [5756] 4.654454e-01 1.320231e-01 2.312808e-01 1.735890e-01 2.382345e-01
##  [5761] 8.781952e-02 5.379782e-01 7.668618e-02 3.163606e-01 8.270505e-02
##  [5766] 4.788735e-02 1.782527e-02 3.759231e-02 2.803518e-03 2.306227e-01
##  [5771] 1.844719e-01 3.346476e-01 3.603680e-01 7.754062e-02 4.866084e-02
##  [5776] 2.347718e-01 2.781715e-03 5.608080e-02 1.176569e-01 7.108483e-01
##  [5781] 1.951177e-02 1.419299e-01 1.412846e-01 4.990485e-02 5.062735e-01
##  [5786] 1.413901e-01 9.771935e-02 3.521023e-01 7.098959e-02 1.728988e-01
##  [5791] 4.583171e-01 8.785194e-02 2.898986e-01 1.358578e-02 3.512731e-02
##  [5796] 3.611373e-01 1.205921e+00 2.518723e-01 4.283876e-01 3.339252e-03
##  [5801] 1.763831e-01 5.829708e-01 1.712666e-02 7.376997e-02 3.965209e-02
##  [5806] 5.756422e-01 4.685286e-02 4.726442e-01 1.287286e-01 4.932251e-01
##  [5811] 2.124738e-01 2.348890e-01 6.460832e-02 4.649003e-01 5.435001e-02
##  [5816] 3.067377e-01 1.423803e-01 6.160976e-01 6.437477e-03 5.433607e-01
##  [5821] 1.050484e-01 3.362683e-01 3.470067e-01 8.363677e-03 1.287455e-01
##  [5826] 2.453837e-01 1.398338e-01 3.669834e-01 5.850652e-02 5.534911e-02
##  [5831] 5.258874e-01 2.663651e-01 3.986900e-01 1.830265e-01 4.973225e-01
##  [5836] 1.633284e-01 2.119899e-01 2.794666e-01 4.244120e-01 1.605784e-01
##  [5841] 4.016428e-02 1.571450e-01 1.246486e-02 2.528461e-01 3.570188e-01
##  [5846] 1.584343e-01 5.748026e-01 4.005420e-01 1.500363e-01 9.790307e-02
##  [5851] 2.213870e-01 1.878160e-02 2.684250e-01 3.325272e-01 3.662507e-02
##  [5856] 5.155512e-02 2.380630e-01 3.687036e-01 6.228988e-01 1.475916e-01
##  [5861] 1.825999e-01 3.629035e-01 2.325856e-02 2.354772e-01 5.712414e-02
##  [5866] 3.318100e-02 9.690358e-02 4.120475e-01 1.142019e-02 2.914077e-01
##  [5871] 3.172878e-01 4.873724e-01 6.830920e-02 7.901968e-02 3.812529e-02
##  [5876] 1.974949e-02 2.639638e-02 2.481465e-02 1.907190e-02 1.263674e-01
##  [5881] 3.727875e-01 2.446074e-02 1.532813e-01 3.462652e-01 1.541672e-01
##  [5886] 3.453036e-02 7.983223e-02 1.332998e-03 1.589905e-01 4.735893e-01
##  [5891] 7.826498e-02 3.388446e-02 1.476005e-01 7.064496e-02 9.414868e-02
##  [5896] 4.223560e-01 1.164107e-01 5.681685e-01 4.310430e-01 8.903621e-02
##  [5901] 9.000411e-02 1.158087e-01 4.699130e-02 1.202947e-03 1.434351e-01
##  [5906] 2.128593e-01 1.823792e-02 1.077938e-01 2.109758e-01 1.186145e-01
##  [5911] 4.601672e-02 2.901233e-02 1.791997e-01 2.887298e-02 2.480552e-01
##  [5916] 1.622148e-01 1.466637e-01 2.774865e-03 1.235109e-01 8.739942e-02
##  [5921] 7.301109e-02 2.207458e-02 2.599970e-01 1.031596e-02 3.374788e-01
##  [5926] 1.055586e-01 4.391048e-01 1.066774e+00 1.119770e-02 4.719151e-01
##  [5931] 2.985025e-01 1.439672e-01 3.295633e-01 7.734376e-01 3.069278e-02
##  [5936] 8.059475e-02 4.199401e-01 9.931594e-04 2.457894e-01 2.140979e-01
##  [5941] 1.164770e-01 1.006814e-02 8.632939e-02 2.424842e-01 1.525012e-01
##  [5946] 4.095504e-01 7.080062e-01 1.604821e-01 7.840878e-02 1.516353e-01
##  [5951] 6.419073e-02 2.779889e-01 1.685494e-01 1.415246e-01 1.114734e-01
##  [5956] 1.862029e-01 1.977717e-01 2.986345e-01 3.287584e-03 6.880322e-01
##  [5961] 5.372099e-03 7.875284e-02 2.490701e-01 2.510961e-01 3.005002e-02
##  [5966] 2.982332e-02 5.314674e-02 1.131972e-01 5.766016e-03 3.788854e-01
##  [5971] 2.485029e-01 1.899662e-01 1.854692e-01 3.373330e-02 1.814892e-01
##  [5976] 1.352354e-02 4.299802e-02 9.376219e-02 5.075319e-01 1.111797e-01
##  [5981] 7.017757e-03 6.094807e-02 5.212574e-01 1.723258e-01 1.134850e-01
##  [5986] 1.946021e-01 1.572255e-01 3.583069e-02 2.099038e-02 1.301909e-01
##  [5991] 1.534840e-02 2.720528e-01 1.663265e-01 2.115533e-01 3.474912e-01
##  [5996] 1.883876e-02 1.188823e-01 4.606246e-02 2.359772e-01 1.401684e-01
##  [6001] 6.546801e-01 2.360837e-01 6.326270e-02 1.186006e-02 3.556557e-02
##  [6006] 1.143793e-01 8.285982e-02 6.755081e-01 1.235524e-01 1.124845e-01
##  [6011] 8.621513e-02 2.422159e-01 2.807947e-01 7.992634e-02 8.600558e-02
##  [6016] 6.013357e-02 1.059505e-01 1.049238e-01 1.595151e-01 8.583048e-01
##  [6021] 2.243358e-01 4.213153e-01 7.779814e-02 6.232699e-02 1.007673e-01
##  [6026] 2.382656e-01 4.376380e-02 1.171099e-01 2.479734e-01 4.529786e-01
##  [6031] 4.557883e-02 6.554096e-01 2.001322e-01 1.792821e-01 3.389884e-01
##  [6036] 1.544114e-03 3.847244e-01 1.956486e-01 7.828636e-01 1.936749e-01
##  [6041] 1.734152e-01 6.763889e-02 2.647742e-01 6.550545e-02 6.724604e-01
##  [6046] 1.415402e-01 3.378401e-01 6.196285e-02 6.221986e-02 6.092530e-01
##  [6051] 6.441880e-02 3.557265e-01 6.975241e-01 5.478191e-01 4.384936e-02
##  [6056] 5.509304e-01 7.685866e-02 4.597057e-02 4.913892e-02 1.061413e-01
##  [6061] 4.643597e-01 6.026754e-02 2.548140e-01 1.124502e-01 5.073855e-02
##  [6066] 8.428557e-01 2.782467e-01 4.284870e-01 3.804043e-02 1.720006e-01
##  [6071] 6.345083e-01 2.064118e-01 1.358873e-01 6.030335e-01 3.417773e-01
##  [6076] 3.030889e-01 1.231354e-02 3.924581e-01 1.280336e-01 8.476094e-02
##  [6081] 1.503964e-01 3.756761e-01 1.905708e-01 2.704060e-01 1.676803e-01
##  [6086] 3.286788e-02 6.047206e-01 2.622557e-01 2.364306e-01 9.916296e-05
##  [6091] 2.694391e-01 4.026761e-02 6.826107e-02 7.198527e-02 1.694916e-01
##  [6096] 1.161544e+00 8.777720e-02 1.759170e-01 1.210742e-01 3.028854e-01
##  [6101] 7.686718e-02 1.380320e-01 7.130059e-02 8.389056e-02 5.836056e-02
##  [6106] 9.849898e-02 5.226923e-02 1.124832e-01 1.639912e-01 1.924867e-01
##  [6111] 5.117100e-01 1.747128e-01 9.728766e-01 1.236830e-01 4.039441e-02
##  [6116] 7.448422e-02 2.399608e-01 2.318823e-01 3.157509e-01 1.254860e-01
##  [6121] 2.236155e-01 2.791722e-02 4.357375e-01 1.235838e-01 1.235043e-01
##  [6126] 2.969384e-01 5.259411e-02 5.179997e-02 2.867633e-02 2.979631e-01
##  [6131] 2.707878e-01 1.239366e-01 7.572780e-03 2.654336e-01 4.564279e-02
##  [6136] 1.837093e-02 4.268608e-01 2.679618e-01 2.728846e-02 3.984034e-01
##  [6141] 3.795950e-02 3.389824e-01 1.454054e-01 8.702841e-02 4.758258e-02
##  [6146] 2.448203e-02 1.003996e-01 2.224431e-01 8.156073e-01 4.080825e-01
##  [6151] 2.768606e-01 1.641938e-01 3.767520e-02 1.378922e-01 4.749309e-02
##  [6156] 7.258260e-01 1.076163e-01 5.472617e-02 1.547849e-02 6.796264e-02
##  [6161] 9.303418e-03 7.337112e-03 1.983484e-02 2.286014e-01 7.832522e-02
##  [6166] 3.886262e-01 1.027905e-01 3.250443e-01 1.363948e-01 2.331382e-02
##  [6171] 6.984529e-02 4.360735e-01 2.663704e-01 4.437358e-01 1.029587e-01
##  [6176] 3.630063e-02 1.325090e-01 4.731791e-02 3.043823e-01 1.888940e-02
##  [6181] 4.030643e-01 1.497712e-01 6.599453e-02 8.164764e-02 2.886192e-01
##  [6186] 3.335368e-01 5.672668e-02 5.418510e-01 1.816200e-02 4.859976e-02
##  [6191] 2.319616e-01 4.933653e-01 7.811262e-02 1.382169e-01 3.652469e-01
##  [6196] 7.148133e-03 3.961195e-03 1.860886e-01 4.943126e-02 2.599739e-01
##  [6201] 1.022708e-01 1.362535e-01 7.712975e-02 8.432958e-02 2.016379e-01
##  [6206] 2.041920e-02 1.395652e-02 1.547465e-01 1.362403e-01 2.027105e-01
##  [6211] 1.060880e-02 7.982255e-02 6.214693e-02 7.554700e-01 7.355351e-02
##  [6216] 1.544001e-01 7.995150e-02 1.003641e-01 5.821967e-02 7.210900e-01
##  [6221] 3.736030e-02 1.037741e-01 4.305362e-01 8.791340e-02 2.838819e-01
##  [6226] 1.319936e-01 1.777610e-01 3.285882e-02 1.796996e-01 1.602042e-02
##  [6231] 1.291286e-01 3.072025e-01 1.091295e-01 4.901453e-01 2.234987e-01
##  [6236] 3.207067e-02 1.266566e-01 2.633161e-01 2.678771e-01 7.247666e-02
##  [6241] 2.172021e-01 1.068323e-01 2.830660e-01 5.144822e-01 1.009189e-01
##  [6246] 2.947717e-01 7.854384e-03 3.452046e-01 1.269954e-02 1.171795e+00
##  [6251] 1.570957e-02 3.336463e-01 4.458806e-01 4.234434e-02 3.247214e-01
##  [6256] 8.771045e-02 2.892185e-01 1.571523e-01 1.385858e-01 2.263340e-01
##  [6261] 1.737380e-01 9.297196e-03 1.415715e-02 2.496259e-01 1.282818e-01
##  [6266] 7.904124e-02 3.297636e-01 2.023829e-02 3.223012e-02 2.141441e-01
##  [6271] 5.343107e-02 1.567217e-01 1.297323e-01 6.252878e-02 4.009350e-01
##  [6276] 1.174472e-01 5.374991e-02 3.793670e-02 2.567899e-03 9.975863e-02
##  [6281] 1.973322e-01 1.505403e-01 7.322275e-02 2.100419e-01 9.141568e-01
##  [6286] 5.973973e-01 3.344523e-01 1.083343e-01 3.947424e-02 2.015283e-01
##  [6291] 3.064550e-01 1.812714e-02 3.097756e-01 2.562037e-01 4.456489e-01
##  [6296] 3.660416e-01 1.196080e-01 3.832887e-01 8.454567e-02 1.143208e-01
##  [6301] 1.585394e-01 4.196073e-02 4.954849e-01 4.065131e-01 1.480046e-01
##  [6306] 1.220183e-01 2.162237e-01 7.765675e-02 1.571527e-01 6.215292e-04
##  [6311] 2.520432e-01 1.741365e-02 6.994050e-02 8.118440e-01 2.244969e-01
##  [6316] 3.087444e-01 3.121578e-02 8.145117e-01 1.013085e-01 2.774975e-03
##  [6321] 1.153606e-01 6.326039e-03 7.403388e-02 1.694726e-01 3.094724e-01
##  [6326] 2.126008e-01 9.250215e-02 4.663947e-01 6.026153e-03 1.023478e-01
##  [6331] 3.072934e-02 8.365841e-02 1.004091e-02 2.334321e-01 8.904116e-02
##  [6336] 4.718363e-02 4.662941e-02 3.179885e-02 1.193903e-01 3.519920e-02
##  [6341] 1.175718e-01 1.583622e-01 1.525211e-01 8.549644e-04 1.978205e-01
##  [6346] 2.462995e-01 2.362925e-01 6.395134e-03 6.841686e-02 2.132848e-02
##  [6351] 2.602875e-01 4.642548e-01 1.110579e-02 4.913259e-02 7.317064e-02
##  [6356] 9.495935e-02 2.671269e-01 8.135409e-01 2.030865e-01 5.154281e-01
##  [6361] 1.140290e-02 5.713478e-01 2.611717e-02 1.109422e-01 5.462403e-02
##  [6366] 1.154071e-01 1.318966e-01 6.638107e-02 9.631204e-01 1.274913e-01
##  [6371] 3.271470e-01 2.653314e-01 1.015361e-02 1.337810e-01 3.854784e-01
##  [6376] 5.656978e-01 5.783741e-03 1.160506e-01 1.165168e-01 1.289824e-01
##  [6381] 7.750368e-02 1.756157e-01 4.258253e-02 1.796539e-02 4.445614e-03
##  [6386] 3.245253e-02 3.381787e-01 6.922778e-02 6.143129e-01 2.469617e-01
##  [6391] 5.891082e-02 1.329897e-01 1.036608e-01 1.182152e-01 3.388201e-01
##  [6396] 4.520726e-01 5.122877e-02 6.490176e-01 3.044199e-01 4.768386e-02
##  [6401] 3.427863e-02 2.755702e-02 1.962901e-01 3.811381e-01 3.141306e-01
##  [6406] 6.998098e-01 8.661510e-02 5.094820e-02 1.390111e-01 3.084145e-01
##  [6411] 1.656721e-01 2.482669e-04 5.283910e-01 1.300507e-01 1.789312e-01
##  [6416] 1.889816e-01 2.512681e-01 4.373329e-01 5.071586e-02 1.501528e-01
##  [6421] 5.703388e-03 2.351009e-01 4.933822e-01 6.011208e-02 1.165635e-01
##  [6426] 1.354185e-01 2.994010e-02 1.002866e-01 9.359305e-03 1.477094e-02
##  [6431] 1.188832e-01 8.267570e-02 2.453522e-01 8.124608e-02 1.768514e-02
##  [6436] 1.104939e+00 1.317168e-01 1.742237e-01 3.363947e-02 1.966781e-01
##  [6441] 2.672028e-01 7.253770e-02 2.337863e-02 3.341666e-02 5.618135e-02
##  [6446] 6.162106e-02 7.009456e-02 5.138969e-02 3.296004e-01 2.403312e-01
##  [6451] 2.580156e-01 1.333599e-02 7.190340e-02 1.045868e-01 2.052894e-01
##  [6456] 2.881441e-01 2.857933e-02 2.261221e-01 1.427101e-01 2.852160e-02
##  [6461] 2.010823e-01 3.090890e-01 6.511718e-02 3.922222e-01 2.050135e-01
##  [6466] 2.449738e-01 1.146263e-01 5.707877e-01 2.142852e-01 2.221184e-01
##  [6471] 1.639871e-01 1.460757e-01 3.790475e-01 2.102105e-02 1.473920e-01
##  [6476] 3.854891e-02 5.059915e-02 5.671284e-01 1.751766e-01 2.462222e-02
##  [6481] 1.992360e-01 8.843128e-03 3.955503e-03 3.319939e-02 6.300395e-01
##  [6486] 1.563168e-01 5.492004e-01 5.004290e-02 7.855229e-02 9.249773e-02
##  [6491] 3.682863e-01 2.165688e-01 3.517339e-03 8.460834e-02 2.730317e-01
##  [6496] 1.127253e+00 7.656545e-02 4.930103e-02 1.186274e-01 3.436132e-01
##  [6501] 1.923914e-01 2.501579e-01 4.857536e-01 2.366740e-01 4.746376e-01
##  [6506] 5.733391e-01 4.749622e-01 2.063678e-01 3.259404e-01 4.419023e-01
##  [6511] 8.745879e-02 5.923369e-02 2.468177e-01 1.979752e-02 3.458795e-01
##  [6516] 1.883086e-01 4.566484e-01 1.089814e+00 8.657953e-02 1.475117e-01
##  [6521] 3.195230e-01 4.883036e-01 3.022007e-01 1.094123e-01 9.783986e-03
##  [6526] 4.489919e-01 2.813246e-01 2.017511e-01 1.854137e-01 9.889271e-02
##  [6531] 3.063313e-01 1.680257e-02 5.505632e-03 2.302249e-01 7.870405e-02
##  [6536] 2.345282e-01 2.417486e-01 6.365202e-02 4.862794e-02 8.199312e-02
##  [6541] 2.883020e-01 2.950970e-01 9.340840e-02 1.794872e-01 8.680517e-02
##  [6546] 7.205648e-03 1.599137e-02 1.487207e-02 3.871509e-01 2.477934e-03
##  [6551] 4.533957e-02 1.487029e-01 4.752352e-02 2.923411e-01 5.025965e-02
##  [6556] 2.453826e-01 7.126452e-02 6.144730e-02 1.397264e-01 5.089918e-01
##  [6561] 4.020513e-03 7.130257e-02 4.514927e-01 4.606800e-01 1.187207e-02
##  [6566] 8.593791e-01 1.788359e-01 1.185254e-02 2.442244e-01 1.997385e-01
##  [6571] 4.998374e-01 7.809678e-02 8.394901e-02 3.648442e-02 6.828398e-02
##  [6576] 1.368188e-01 4.314443e-01 9.138256e-03 7.075755e-02 3.324397e-02
##  [6581] 8.021554e-02 1.906171e-01 2.437191e-01 6.572974e-02 9.346276e-01
##  [6586] 9.769831e-03 1.936164e-02 1.758543e-01 1.813361e-01 1.554607e-01
##  [6591] 1.737792e-01 8.639130e-02 8.628893e-02 2.005385e-01 1.023630e-01
##  [6596] 5.851867e-02 6.623172e-02 1.447714e-01 8.468839e-02 1.513765e-01
##  [6601] 3.941906e-01 2.688643e-02 1.080942e-01 1.534121e-01 7.060021e-02
##  [6606] 6.241903e-01 1.990995e-01 4.092744e-01 2.240604e-01 1.866151e-01
##  [6611] 3.733798e-03 3.584159e-01 2.173790e-01 1.570442e-01 1.248140e-01
##  [6616] 4.013342e-01 1.103932e-01 8.890095e-01 2.711786e-02 1.227390e-01
##  [6621] 1.363433e-02 2.091540e-01 1.391301e-03 8.113932e-03 4.418756e-02
##  [6626] 6.016995e-01 5.860923e-02 5.036333e-02 5.406455e-01 6.754588e-01
##  [6631] 6.563657e-01 2.599533e-01 5.168709e-01 1.835105e-01 3.693979e-02
##  [6636] 1.943544e-01 2.181454e-01 2.227905e-01 2.579181e-02 4.823624e-02
##  [6641] 3.179499e-01 1.075834e+00 3.444220e-02 8.920994e-02 3.174592e-02
##  [6646] 1.411791e+00 4.650259e-01 7.935225e-02 1.242749e-02 3.115030e-02
##  [6651] 7.511525e-02 6.379945e-02 1.622924e-01 4.157305e-02 1.728207e-02
##  [6656] 7.287944e-02 8.378760e-02 2.595422e-01 1.620680e-01 1.777694e-01
##  [6661] 8.922828e-02 5.331721e-01 5.598476e-02 8.528632e-02 1.237694e-01
##  [6666] 4.047895e-02 1.021828e-01 9.239460e-01 7.467330e-02 8.463193e-02
##  [6671] 1.907910e-02 2.636409e-01 2.022962e-01 6.503205e-02 3.603345e-02
##  [6676] 7.199692e-02 6.865575e-01 2.052789e-03 1.695651e-01 3.196704e-03
##  [6681] 1.480826e-01 1.145793e+00 2.069168e-01 6.670591e-01 1.112735e-01
##  [6686] 1.427345e-02 3.602028e-02 3.283253e-01 2.052780e-01 1.043808e-01
##  [6691] 7.128121e-02 8.556103e-02 4.025511e-02 1.556706e-01 1.497197e-01
##  [6696] 8.204577e-02 3.436148e-01 5.027775e-01 1.541912e-02 1.038693e-01
##  [6701] 3.405173e-01 3.094523e-01 1.221956e-01 9.199593e-02 7.804198e-02
##  [6706] 4.232050e-02 8.910965e-02 1.591687e-01 2.344997e-01 3.084097e-01
##  [6711] 2.391917e-01 2.714789e-01 2.907202e-02 3.469429e-03 5.483983e-01
##  [6716] 1.771029e-01 1.719114e-01 2.942157e-02 1.513829e-01 3.639759e-01
##  [6721] 2.911422e-02 5.142224e-01 1.973041e-01 9.048936e-02 1.233163e-01
##  [6726] 3.826023e-03 1.290561e-01 2.316267e-01 8.264812e-02 4.956188e-01
##  [6731] 2.708123e-01 3.045618e-01 6.917365e-02 4.773476e-01 1.470104e-02
##  [6736] 5.573171e-01 3.018087e-01 1.949979e-01 1.780237e-02 4.636398e-03
##  [6741] 6.979242e-02 3.213186e-02 6.660319e-02 9.418588e-02 1.725293e-01
##  [6746] 2.056555e-01 3.659152e-01 3.701148e-02 9.435071e-02 4.177141e-02
##  [6751] 2.017067e-01 8.608186e-02 1.983563e-01 1.360158e-01 3.066138e-02
##  [6756] 5.152936e-02 5.127916e-01 3.573504e-01 5.716454e-02 1.173997e-01
##  [6761] 6.742426e-01 2.828888e-02 1.567010e-02 2.845400e-01 3.863481e-02
##  [6766] 4.997078e-02 9.795102e-02 1.347531e-01 9.247168e-02 1.230408e-01
##  [6771] 6.576476e-02 5.584827e-02 4.612365e-01 4.631335e-02 4.648790e-01
##  [6776] 3.105025e-01 1.617943e-01 3.372229e-01 4.946566e-02 2.571567e-01
##  [6781] 2.146871e-01 6.813435e-02 1.312191e-01 4.014496e-02 1.724241e-01
##  [6786] 1.585457e-01 8.022240e-02 6.028368e-02 9.020407e-02 4.085637e-02
##  [6791] 1.976695e-01 3.775826e-03 1.533982e-01 2.614647e-01 5.160418e-01
##  [6796] 1.682209e-01 4.699341e-02 2.052905e-01 2.755323e-01 1.342475e-01
##  [6801] 5.882045e-03 7.044260e-01 4.397703e-02 5.386509e-01 5.789295e-01
##  [6806] 1.926679e-02 8.239156e-01 1.303168e-01 1.112832e-01 1.916297e-02
##  [6811] 3.699827e-01 1.002144e-01 1.921176e-01 3.990404e-01 1.604581e-01
##  [6816] 6.455879e-01 1.712643e-01 1.616055e-01 1.637841e-01 1.517900e-01
##  [6821] 9.670579e-04 8.494295e-02 1.100966e-01 2.041871e-03 1.746454e-01
##  [6826] 7.210364e-01 4.949451e-02 2.028985e-01 3.225754e-01 3.403333e-01
##  [6831] 6.656428e-01 6.351529e-02 3.884919e-02 2.675853e-01 6.516933e-02
##  [6836] 9.964959e-03 1.131102e-01 1.323386e+00 6.151695e-02 3.777950e-01
##  [6841] 8.603295e-02 1.409119e-01 1.160559e+00 5.505779e-02 2.296563e-01
##  [6846] 1.765516e-01 8.961171e-02 1.277661e-01 6.527327e-03 6.492422e-02
##  [6851] 7.152816e-02 2.525805e-02 1.082182e-01 1.000188e-01 2.056964e-01
##  [6856] 1.424759e-01 1.737785e-01 3.233181e-01 7.110993e-01 6.436965e-01
##  [6861] 1.890164e-01 3.301461e-01 3.807489e-02 1.158753e-02 2.599067e-02
##  [6866] 4.852664e-01 6.297389e-02 1.866323e-01 2.860691e-01 1.433853e-01
##  [6871] 1.899480e-01 3.469639e-01 2.020503e-01 3.364523e-01 3.123494e-01
##  [6876] 1.878054e-02 9.081267e-01 1.441179e-01 1.489596e-01 4.692879e-02
##  [6881] 2.934953e-01 8.538760e-02 6.959201e-02 1.663783e-01 1.132106e-01
##  [6886] 1.413554e-01 1.561646e-01 3.175598e-02 4.225087e-03 2.662912e-02
##  [6891] 3.100620e-01 3.907553e-02 4.288489e-02 1.629806e-01 3.716703e-01
##  [6896] 2.402204e-01 3.153855e-02 1.077224e-02 4.956924e-02 7.278422e-02
##  [6901] 3.533148e-03 3.007925e-01 1.757636e-01 3.307359e-01 1.568702e-02
##  [6906] 2.519323e-01 2.992908e-01 4.319400e-02 1.007908e-01 6.685290e-02
##  [6911] 2.433449e-01 4.186546e-01 1.365857e-01 1.477781e-01 9.425906e-02
##  [6916] 1.649659e-02 3.332080e-01 1.210692e-01 2.251054e-01 5.970749e-01
##  [6921] 1.965084e-01 1.515795e-01 2.261094e-01 5.019837e-01 4.134163e-01
##  [6926] 1.630145e-01 4.222650e-01 1.678280e-01 1.535848e-01 2.385924e-02
##  [6931] 3.428304e-02 1.854436e-01 1.717464e-01 7.404201e-02 6.181126e-02
##  [6936] 2.131723e-01 8.337546e-02 1.446199e-01 2.516680e-01 3.903484e-01
##  [6941] 6.553068e-03 1.437511e+00 3.603445e-02 2.256379e-01 4.616929e-04
##  [6946] 2.229659e-02 2.632468e-02 4.953804e-02 1.064188e-02 8.434667e-01
##  [6951] 4.687024e-01 3.233089e-01 1.722778e-01 1.109825e-01 9.791374e-02
##  [6956] 2.339305e-01 4.254740e-02 1.153008e-01 9.319085e-02 9.976139e-02
##  [6961] 7.937751e-02 1.860953e-01 2.366520e-01 2.371029e-01 1.563995e-01
##  [6966] 3.498704e-02 4.369603e-01 1.290966e-01 1.193986e-01 1.110740e-01
##  [6971] 4.164305e-01 3.146669e-01 9.338543e-02 3.012848e-01 2.176472e-02
##  [6976] 7.646408e-02 1.046438e-01 2.773972e-01 1.017461e-01 1.330311e-01
##  [6981] 2.273794e-01 9.172079e-04 4.199991e-02 9.357377e-02 1.224363e-01
##  [6986] 1.147870e-01 8.691697e-02 1.215124e-01 1.295715e-01 9.792741e-02
##  [6991] 4.913748e-03 2.522811e-01 2.195211e-01 8.899853e-02 6.665579e-02
##  [6996] 8.152651e-02 1.589426e-02 6.908099e-02 3.120014e-01 7.011086e-02
##  [7001] 2.219487e-01 4.841112e-02 1.220202e-01 8.696833e-02 8.606371e-03
##  [7006] 5.449662e-02 1.934310e-01 1.400464e-01 8.215996e-02 6.393069e-02
##  [7011] 4.411104e-01 7.348257e-02 7.472198e-02 1.726882e-02 1.767985e-01
##  [7016] 8.515827e-02 1.121100e-01 1.140818e-01 4.369899e-02 9.708249e-02
##  [7021] 2.594939e-01 2.974519e-01 5.755937e-02 2.205201e-01 2.363213e-02
##  [7026] 1.402445e-01 3.070587e-01 1.970196e-01 1.361698e-01 1.658131e-01
##  [7031] 1.488416e-01 3.892418e-01 3.434994e-01 1.149315e-01 2.286441e-01
##  [7036] 8.329666e-01 2.513576e-01 1.327450e-01 5.014226e-01 7.555789e-02
##  [7041] 3.821245e-02 7.947802e-02 1.186594e+00 6.219621e-01 2.990352e-02
##  [7046] 4.709122e-02 1.447408e-01 5.588168e-02 1.817662e-01 2.778171e-01
##  [7051] 1.996722e-01 1.185047e-01 2.655512e-01 1.557373e-01 5.402941e-02
##  [7056] 2.316806e-03 2.347830e-01 1.944920e-02 2.104803e-01 2.081204e-01
##  [7061] 1.530415e-01 5.415838e-01 2.910574e-01 1.197410e-01 8.993604e-01
##  [7066] 5.507445e-02 5.196965e-02 1.689742e-01 8.197275e-01 8.444528e-02
##  [7071] 1.072516e-01 2.945183e-02 2.069841e-02 2.251572e-01 1.168272e-02
##  [7076] 6.388430e-01 5.993091e-02 1.940636e-01 2.912485e-02 3.544428e-01
##  [7081] 1.378349e-01 2.278127e-02 8.484093e-03 4.594376e-01 1.358753e-01
##  [7086] 4.098560e-01 6.660688e-01 2.124053e-01 1.389641e-01 1.489803e-01
##  [7091] 1.189322e-01 2.963122e-01 4.050325e-02 1.684637e-02 1.658259e-01
##  [7096] 7.374713e-01 2.303215e-01 8.432713e-02 4.776157e-01 7.300866e-03
##  [7101] 3.148084e-01 1.757945e-01 5.225678e-02 6.107237e-02 6.439686e-02
##  [7106] 3.762724e-01 2.846967e-01 1.046976e-01 1.803119e-01 6.733332e-02
##  [7111] 4.467119e-02 2.043141e-01 2.728905e-01 2.131714e-01 2.893711e-01
##  [7116] 1.837555e-01 3.163379e-01 1.160095e-01 8.819302e-02 3.632890e-02
##  [7121] 1.234727e-01 9.449653e-02 4.624064e-02 1.341475e-01 3.446616e-02
##  [7126] 7.316592e-01 4.375572e-02 2.093834e-01 4.296874e-01 5.151412e-01
##  [7131] 4.407075e-01 3.834498e-02 2.189013e-02 2.080822e-02 1.956886e-01
##  [7136] 1.006352e-01 1.778021e-01 3.864749e-02 8.723325e-03 2.408306e-01
##  [7141] 3.184761e-01 2.478931e-01 2.159717e-01 4.087345e-01 1.998869e-01
##  [7146] 5.595472e-02 1.286905e-01 1.407858e-01 1.668167e-02 5.057021e-02
##  [7151] 1.418319e-01 1.411804e-01 4.876903e-02 2.475053e-01 2.803603e-01
##  [7156] 1.494666e-01 1.400131e-01 2.834141e-02 3.285731e-02 1.001400e-01
##  [7161] 1.676984e-01 1.840297e-01 2.517955e-02 4.173421e-01 3.982679e-02
##  [7166] 3.012216e-01 2.483742e-01 3.023135e-01 7.255378e-02 4.277739e-02
##  [7171] 2.548057e-01 6.492959e-02 2.564929e-01 5.101726e-01 9.696830e-02
##  [7176] 3.217715e-01 1.321286e-01 1.739120e-01 7.889846e-04 4.185081e-01
##  [7181] 1.024328e-02 8.764033e-02 4.138502e-02 3.874518e-02 3.413356e-01
##  [7186] 3.240513e-01 4.581681e-01 1.407824e-01 2.570587e-01 2.342257e-01
##  [7191] 3.052635e-01 1.482258e-01 8.428439e-03 1.563952e-01 4.610712e-02
##  [7196] 3.326623e-01 3.571471e-01 1.337653e-01 3.289578e-01 2.064249e-01
##  [7201] 9.754069e-02 1.454077e-02 4.403067e-01 3.725009e-02 2.145125e-01
##  [7206] 2.190636e-02 2.459194e-01 1.178674e-01 2.067592e-01 8.822981e-02
##  [7211] 8.457218e-04 3.116125e-02 3.997103e-02 3.239939e-02 1.703897e-01
##  [7216] 9.472833e-01 1.374770e-01 4.247480e-01 1.774695e-02 7.523036e-01
##  [7221] 3.109907e-01 2.754985e-01 8.755778e-02 4.625457e-01 7.262574e-01
##  [7226] 3.248758e-01 5.836156e-01 9.477341e-02 1.401074e-01 1.249041e-01
##  [7231] 1.571129e-02 3.468017e-02 4.669397e-01 1.313924e-01 4.821393e-02
##  [7236] 1.737876e-01 2.570207e-01 1.341593e-01 3.070174e-01 1.957761e-02
##  [7241] 3.128845e-02 1.167739e-01 9.620764e-01 2.048667e-01 6.962394e-01
##  [7246] 9.826618e-02 5.623575e-01 4.154071e-02 4.585943e-01 2.383756e-01
##  [7251] 7.188218e-02 6.560862e-02 6.485085e-02 3.852099e-02 1.498480e-01
##  [7256] 1.190808e-01 2.093078e-01 1.028784e-01 5.226004e-02 5.916888e-02
##  [7261] 5.213287e-02 3.061561e-01 1.552861e-01 1.057416e-01 6.479802e-01
##  [7266] 1.108376e-01 1.978200e-01 9.165616e-03 2.404706e-02 2.184004e-01
##  [7271] 2.927151e-01 3.120121e-01 1.701292e-03 2.556421e-01 9.525372e-03
##  [7276] 1.089869e-01 4.525505e-01 2.118704e-01 2.911539e-02 4.929375e-01
##  [7281] 3.110268e-02 1.737159e-01 7.536897e-02 6.984518e-02 1.220535e-01
##  [7286] 1.553120e-01 2.448322e-01 1.013214e-01 1.074128e-02 1.981245e-01
##  [7291] 4.753390e-01 3.305746e-01 1.435056e-01 5.197053e-01 1.612724e-01
##  [7296] 1.568560e-01 1.119428e-02 2.744668e-01 4.230830e-01 4.226041e-01
##  [7301] 8.595460e-01 1.655372e-01 4.284412e-01 2.413193e-01 1.427181e-01
##  [7306] 1.004513e-01 2.075068e-02 1.450306e-01 1.667832e-01 1.328059e-01
##  [7311] 1.340077e-01 1.059959e-01 8.280151e-02 5.399532e-01 2.220410e-02
##  [7316] 1.231217e-01 9.574683e-02 1.229494e-01 2.868556e-02 1.182333e-01
##  [7321] 8.579618e-02 5.689437e-01 4.999395e-01 9.428658e-02 2.971619e-01
##  [7326] 8.634472e-02 1.770201e-01 3.132160e-02 4.757747e-01 7.778252e-02
##  [7331] 2.158955e-01 9.395161e-02 6.200861e-01 2.990556e-01 9.988189e-02
##  [7336] 2.458602e-01 1.699175e-02 4.331650e-02 2.123609e-01 2.417085e-01
##  [7341] 1.418602e-01 1.561340e-02 2.748979e-02 3.294199e-02 5.818130e-01
##  [7346] 2.432436e-01 4.028742e-01 2.968814e-02 1.789316e-01 2.915761e-01
##  [7351] 8.173646e-02 9.887290e-02 1.713439e-01 3.130081e-01 3.159500e-01
##  [7356] 4.146750e-01 1.071517e-01 1.274282e+00 2.296821e-02 3.501396e-01
##  [7361] 8.036312e-02 8.114893e-03 4.009483e-01 2.088952e-01 4.558306e-03
##  [7366] 1.425126e-01 7.261011e-02 9.538978e-02 2.260311e-01 2.311942e-02
##  [7371] 7.751623e-01 5.373004e-02 6.317041e-02 2.868931e-01 3.737510e-02
##  [7376] 3.607178e-01 3.074670e-01 7.481705e-02 6.187382e-02 3.780616e-01
##  [7381] 1.757634e-01 5.821708e-03 1.022131e-02 6.327318e-02 8.590889e-02
##  [7386] 5.395084e-02 8.111556e-02 1.830046e-01 3.544561e-01 9.415228e-02
##  [7391] 4.046787e-01 4.556498e-02 1.050443e-01 7.622395e-02 1.453924e-01
##  [7396] 6.358186e-01 5.679704e-03 6.567072e-02 4.921771e-02 8.921246e-02
##  [7401] 1.440732e-02 4.142099e-01 4.930366e-02 8.188052e-02 5.251047e-02
##  [7406] 2.206737e-01 2.317514e-03 2.316925e-02 4.970790e-02 1.711469e-01
##  [7411] 2.069250e-01 6.572257e-02 3.055599e-02 5.260507e-03 9.083119e-02
##  [7416] 7.273706e-01 1.423981e-01 3.833276e-01 2.437526e-02 2.497480e-01
##  [7421] 5.775334e-02 1.833357e-01 1.148096e-01 1.245233e-01 2.078120e-01
##  [7426] 6.819871e-02 9.119133e-02 1.218117e-01 1.520709e-01 3.678047e-01
##  [7431] 1.919521e-01 7.793475e-02 3.637362e-01 2.760503e-01 1.027536e-01
##  [7436] 2.879690e-02 1.601200e-01 1.086854e-01 2.966748e-01 1.855255e-03
##  [7441] 1.972074e-01 1.327055e-02 3.348993e-02 4.858112e-02 4.894757e-01
##  [7446] 1.328948e-02 1.432052e-02 3.007805e-01 1.218198e-01 4.262016e-01
##  [7451] 7.619526e-02 4.105270e-02 1.723458e-01 7.909922e-02 2.343191e-01
##  [7456] 1.568312e-01 1.823247e-01 4.094267e-01 3.349274e-01 2.967049e-01
##  [7461] 1.747598e-01 6.382300e-02 9.928076e-02 7.601234e-02 1.154513e-01
##  [7466] 1.918377e-01 5.418132e-03 1.660602e-01 2.297427e-01 1.670083e-01
##  [7471] 1.477607e-01 3.347408e-01 2.127033e-01 3.018202e-02 2.062596e-01
##  [7476] 6.113351e-03 6.871489e-02 4.294833e-01 1.706560e-01 8.179550e-03
##  [7481] 3.861340e-01 3.220279e-02 1.391066e-01 4.571987e-01 2.660928e-01
##  [7486] 1.722021e-01 1.079620e-01 2.058496e-01 2.327159e-02 4.349782e-02
##  [7491] 3.696902e-01 3.233684e-02 1.580050e-01 3.155029e-01 6.085684e-02
##  [7496] 1.957025e-01 1.478965e-02 1.954506e-01 1.055771e-01 2.513427e-02
##  [7501] 6.665070e-02 6.715846e-02 2.742448e-01 4.887953e-01 1.289043e-01
##  [7506] 2.386489e-02 4.890351e-01 8.078347e-02 4.257196e-01 3.837948e-02
##  [7511] 1.356942e-02 3.087336e-01 6.430496e-02 2.666125e-02 3.288833e-01
##  [7516] 2.582435e-02 6.464208e-01 1.047073e-02 4.774621e-02 5.493791e-02
##  [7521] 2.500069e-02 3.355654e-01 3.500668e-01 4.000323e-02 2.355584e-01
##  [7526] 2.282222e-01 4.775330e-02 1.746175e-01 3.012580e-01 3.689317e-02
##  [7531] 3.355142e-01 2.594187e-01 1.485163e-01 1.808388e-01 3.269017e-01
##  [7536] 5.999392e-02 3.186940e-01 9.741040e-02 4.445354e-02 4.435586e-01
##  [7541] 1.944230e-01 2.423179e-01 5.489687e-02 1.089101e-01 1.871576e-02
##  [7546] 9.136248e-01 6.250245e-01 2.746089e-01 6.525100e-02 4.940977e-03
##  [7551] 5.340275e-01 3.683630e-01 7.441444e-01 4.530771e-02 4.271967e-01
##  [7556] 3.876842e-01 3.406237e-01 2.335501e-02 1.647123e-02 3.691026e-02
##  [7561] 4.440051e-02 7.023803e-03 1.063340e-01 6.241549e-01 7.908065e-02
##  [7566] 3.232905e-03 3.328159e-02 1.798047e-02 4.659859e-01 2.480553e-02
##  [7571] 2.527811e-01 6.279858e-02 5.749253e-01 2.930434e-01 7.603140e-02
##  [7576] 5.047868e-02 1.490777e-01 4.176747e-02 9.576017e-02 1.825721e-01
##  [7581] 4.477617e-01 7.087358e-01 1.527807e-02 8.969806e-02 4.537706e-01
##  [7586] 1.138967e-01 9.536652e-01 6.367196e-02 1.166788e-01 5.317139e-01
##  [7591] 1.433081e-02 8.052010e-01 2.452578e-01 2.969069e-01 4.280570e-01
##  [7596] 5.167837e-01 3.345369e-01 5.852785e-02 4.744624e-01 9.410065e-02
##  [7601] 5.303078e-01 3.861563e-02 7.369036e-02 1.626747e-01 1.943466e-01
##  [7606] 1.419253e-01 3.346188e-01 3.921923e-01 2.358835e-02 4.856254e-01
##  [7611] 4.928891e-01 3.627686e-03 8.682298e-03 1.168553e-01 5.130952e-01
##  [7616] 1.250045e-01 4.891588e-02 1.816525e-02 5.868505e-03 1.085870e-01
##  [7621] 5.304826e-02 3.778685e-01 8.339211e-02 5.120752e-02 7.368828e-02
##  [7626] 6.346705e-01 1.453793e-01 1.646606e-01 1.752196e-02 1.213801e-01
##  [7631] 1.928483e-01 2.155109e-01 3.709543e-02 2.864074e-01 8.630827e-02
##  [7636] 8.827766e-02 3.572571e-02 2.020987e-02 4.614103e-02 1.793717e-01
##  [7641] 1.662017e-01 1.019674e-01 1.327445e-01 2.837725e-01 9.853674e-03
##  [7646] 4.456883e-01 3.266190e-01 1.782537e-01 2.452426e-01 2.568439e-01
##  [7651] 5.080109e-02 2.109393e-02 2.930212e-02 3.530248e-02 1.094556e-01
##  [7656] 5.521004e-02 4.483417e-02 4.269776e-02 2.878654e-04 6.333180e-02
##  [7661] 6.983837e-02 3.656322e-02 3.087591e-01 8.815959e-01 3.544657e-01
##  [7666] 2.439239e-01 4.863754e-01 7.403462e-02 5.043243e-01 6.661628e-03
##  [7671] 1.771322e-01 1.108742e-01 3.914144e-01 2.734693e-01 1.284425e-02
##  [7676] 1.655637e-01 5.900247e-02 1.844448e-01 1.851521e-01 6.671197e-01
##  [7681] 6.845860e-01 3.363724e-01 3.035706e-01 3.821918e-01 4.774403e-03
##  [7686] 8.504212e-03 1.817183e-01 2.870410e-01 4.242053e-01 3.898646e-01
##  [7691] 3.865561e-02 7.022337e-02 2.436049e-03 7.916370e-01 2.175352e-02
##  [7696] 2.199291e-01 1.582135e-01 3.945691e-02 6.527921e-02 1.900852e-01
##  [7701] 1.951818e-01 3.182586e-01 9.628721e-02 1.356506e-01 2.673674e-01
##  [7706] 6.098987e-03 4.832097e-02 3.217197e-02 1.130420e-01 9.663283e-02
##  [7711] 3.983847e-01 2.183491e-02 7.375205e-01 4.857075e-01 6.420784e-02
##  [7716] 3.186229e-02 7.573834e-02 4.168668e-02 1.245352e-01 1.408046e-01
##  [7721] 1.827487e-01 2.768396e-01 8.066654e-02 1.685049e-01 5.076913e-02
##  [7726] 2.337003e-01 9.273730e-02 6.975166e-01 6.866641e-02 1.276230e-02
##  [7731] 1.606794e-01 4.301071e-02 4.105842e-01 1.417887e-01 4.716645e-02
##  [7736] 2.516983e-01 4.786846e-02 8.011807e-01 1.591273e-01 2.384983e-01
##  [7741] 1.576200e-01 5.861889e-02 4.837348e-02 6.712802e-02 1.921085e-01
##  [7746] 1.312301e-01 4.524678e-02 3.437059e-01 2.910083e-01 2.233017e-02
##  [7751] 5.685525e-02 1.606267e-01 7.828984e-02 8.244072e-02 4.509752e-03
##  [7756] 5.999719e-02 7.620259e-02 1.364470e-01 1.143416e-01 9.715882e-02
##  [7761] 7.066843e-02 4.951950e-01 1.328550e+00 8.464476e-02 5.819707e-01
##  [7766] 1.690845e-01 2.575971e-02 1.120048e-02 3.618261e-01 1.291446e-01
##  [7771] 5.769690e-02 5.317350e-01 2.175233e-01 1.451665e-02 5.706658e-01
##  [7776] 1.837520e-01 3.384106e-02 2.806197e-01 1.067579e-01 1.452059e-01
##  [7781] 3.088382e-01 2.635623e-02 1.197204e-01 6.694361e-02 4.131576e-01
##  [7786] 7.753383e-02 2.045494e-02 3.700348e-02 8.563220e-01 1.156256e-02
##  [7791] 1.965782e-01 4.546569e-02 9.522895e-02 3.398570e-03 9.051995e-03
##  [7796] 6.079993e-02 6.960760e-02 9.383580e-02 1.298853e-01 1.544137e-02
##  [7801] 1.254460e-01 8.691517e-03 1.340289e-01 1.238986e-01 2.470409e-01
##  [7806] 1.949864e-01 2.590994e-01 1.559982e-02 2.219512e-02 5.441090e-02
##  [7811] 5.701493e-01 3.572254e-01 3.885270e-02 1.135929e-01 4.006208e-01
##  [7816] 3.424776e-01 1.465507e-01 7.983414e-02 1.845919e-01 2.059882e-01
##  [7821] 1.198005e-01 1.523740e-01 4.691124e-02 1.501560e-03 7.767025e-04
##  [7826] 1.092191e-01 8.701644e-02 4.353776e-02 3.177861e-02 1.384791e-01
##  [7831] 4.661255e-02 1.425925e-02 6.845032e-02 3.335141e-02 1.506441e-01
##  [7836] 3.343665e-01 2.356410e-01 2.087170e-01 4.091218e-01 1.250024e-02
##  [7841] 1.015068e-02 2.804106e-01 5.746687e-03 9.402584e-02 2.867804e-01
##  [7846] 2.065520e-02 9.273418e-02 2.499908e-01 6.281128e-01 5.361990e-01
##  [7851] 2.130928e-02 1.677674e-01 3.837067e-02 3.798495e-01 4.560926e-02
##  [7856] 7.832930e-02 1.862179e-03 3.824502e-01 5.590850e-02 3.952178e-02
##  [7861] 7.399615e-02 3.707528e-01 1.257669e-01 1.282332e-02 1.567262e-01
##  [7866] 1.317426e-01 5.409741e-03 2.910446e-03 5.132290e-01 4.067954e-01
##  [7871] 2.532903e-02 2.146025e-01 6.198197e-03 1.080836e-01 3.072814e-01
##  [7876] 2.374675e-02 9.138534e-03 2.488494e-01 1.433079e-01 7.750513e-02
##  [7881] 4.340630e-01 9.197908e-02 3.423084e-01 2.648053e-01 3.435009e-01
##  [7886] 1.653295e-01 7.344660e-01 1.443682e-01 7.107228e-02 1.553280e-02
##  [7891] 2.938574e-03 2.175607e-01 2.818140e-01 1.088022e-01 2.080831e-01
##  [7896] 2.710050e-01 3.494992e-02 2.688361e-01 2.909021e-01 2.238347e-01
##  [7901] 3.104893e-01 1.494581e-01 1.350726e-01 1.165510e-02 4.309512e-01
##  [7906] 2.348213e-01 3.065482e-01 1.486092e-02 6.977305e-01 3.912662e-02
##  [7911] 1.998479e-01 1.270498e-01 2.965004e-02 2.114406e-02 2.571795e-01
##  [7916] 2.584552e-01 2.448040e-01 1.144018e-01 8.756550e-01 1.119362e-01
##  [7921] 4.378177e-01 2.473556e-01 1.514965e-01 2.303876e-02 3.220150e-01
##  [7926] 2.559723e-02 2.972577e-02 7.117182e-03 1.490634e-01 2.221166e-02
##  [7931] 6.083186e-01 5.300725e-01 4.935255e-02 8.839734e-01 9.110163e-02
##  [7936] 2.955559e-01 1.669548e-01 3.754918e-01 3.473550e-01 5.846634e-01
##  [7941] 1.080650e-01 1.145822e-01 2.086109e-01 2.889965e-03 9.894519e-02
##  [7946] 1.126506e-01 3.896371e-01 1.386291e-01 2.152147e-01 4.548907e-01
##  [7951] 8.009713e-02 1.389653e-02 4.636848e-02 2.049826e-01 1.235201e-01
##  [7956] 3.778326e-03 3.450116e-01 9.452540e-02 4.390615e-01 2.796500e-01
##  [7961] 3.230833e-01 5.388218e-01 2.117742e-01 8.931204e-01 1.959619e-01
##  [7966] 2.390573e-02 1.267615e-01 3.376222e-02 7.558441e-02 9.254724e-01
##  [7971] 1.006461e-01 5.870650e-02 7.014948e-03 1.946055e-01 1.084927e-01
##  [7976] 6.402824e-03 6.177966e-02 8.790865e-02 3.100365e-02 7.227468e-02
##  [7981] 2.385772e-02 1.016593e-01 9.030894e-02 2.448373e-02 2.430786e-01
##  [7986] 1.407078e-01 2.924720e-01 8.321332e-04 4.048210e-02 3.190315e-01
##  [7991] 3.178532e-01 2.518853e-01 2.624963e-01 3.098248e-01 6.842772e-01
##  [7996] 3.274250e-01 5.129559e-01 6.073126e-01 9.546476e-02 2.227271e-01
##  [8001] 3.948153e-01 5.032366e-02 1.430032e-01 1.124817e-01 7.986515e-02
##  [8006] 9.303991e-02 2.977588e-01 7.839946e-02 2.466952e-02 3.203171e-01
##  [8011] 2.360786e-01 3.668331e-01 3.305580e-01 7.582221e-02 6.142365e-01
##  [8016] 4.757727e-01 3.938290e-01 4.325033e-01 4.367291e-01 8.606391e-02
##  [8021] 4.250230e-01 2.800071e-01 2.214239e-02 7.691682e-02 3.745843e-02
##  [8026] 2.062319e-02 1.733198e-03 3.455217e-01 3.169037e-02 1.865921e-01
##  [8031] 3.600482e-01 4.355203e-02 3.073033e-02 1.466055e-02 9.096425e-01
##  [8036] 5.564776e-01 2.117226e-01 9.879071e-02 1.670475e-01 5.297927e-02
##  [8041] 9.496276e-01 7.211454e-02 5.079435e-01 1.768856e-01 6.608041e-01
##  [8046] 1.760648e-02 8.561332e-01 1.563140e-01 1.456584e-01 2.911264e-01
##  [8051] 3.152556e-01 9.580725e-02 6.159811e-02 3.583579e-02 1.989274e-01
##  [8056] 9.535769e-02 1.332155e-01 9.545148e-01 3.545880e-01 7.843541e-01
##  [8061] 1.449827e-01 3.510513e-01 2.359306e-01 3.001883e-01 1.057431e-01
##  [8066] 5.658466e-01 3.503745e-01 1.381119e-01 1.201040e-01 1.673499e-01
##  [8071] 2.481160e-01 7.076614e-02 2.132407e-02 2.733026e-01 3.055501e-01
##  [8076] 4.741209e-01 1.549271e-03 1.976817e-01 1.832634e-02 7.507203e-02
##  [8081] 6.866807e-02 7.896234e-02 2.598144e-03 1.049092e-01 5.736395e-02
##  [8086] 1.018818e-01 7.999948e-02 5.304390e-02 4.507194e-01 1.058134e-01
##  [8091] 3.741080e-02 7.785642e-04 1.422308e-01 1.172274e-01 3.134788e-01
##  [8096] 2.885310e-02 3.240325e-01 9.122811e-02 1.576110e-01 4.449340e-02
##  [8101] 3.820826e-01 2.415756e-01 6.218536e-02 1.747828e-01 2.024935e-01
##  [8106] 3.286021e-01 5.870210e-02 1.818858e-02 1.526878e-03 5.368248e-02
##  [8111] 2.290502e-01 7.353872e-01 4.847254e-01 1.619635e-01 8.959177e-02
##  [8116] 2.766114e-01 5.385366e-02 1.401746e-01 2.223812e-02 3.374020e-01
##  [8121] 4.441266e-01 9.894694e-01 3.539717e-01 5.228776e-01 1.339548e-01
##  [8126] 9.006192e-02 2.699181e-01 2.903106e-02 2.061095e-01 2.439846e-02
##  [8131] 6.921773e-02 1.862406e-01 7.187254e-02 6.543172e-02 8.303598e-02
##  [8136] 6.942046e-02 6.523783e-02 3.058176e-01 6.952490e-01 4.110726e-03
##  [8141] 7.239453e-02 4.120242e-01 7.042198e-02 5.542935e-01 2.466688e-01
##  [8146] 2.049715e-01 1.893716e-01 4.053278e-02 1.607908e-01 6.122560e-02
##  [8151] 9.720307e-02 2.594542e-01 8.405202e-02 2.243619e-02 1.411579e-01
##  [8156] 1.393268e-01 4.698198e-01 1.279008e-02 9.282901e-02 3.361502e-01
##  [8161] 4.710783e-01 2.130109e-01 3.959288e-03 4.550045e-01 3.257147e-01
##  [8166] 3.890543e-01 1.027958e-01 1.075300e-02 1.307668e-02 3.123394e-01
##  [8171] 2.987521e-02 2.248685e-02 4.751038e-01 7.822048e-02 1.006552e-01
##  [8176] 7.032156e-02 6.845187e-02 3.886426e-01 1.933757e-01 4.386800e-02
##  [8181] 1.538790e-01 2.879387e-01 2.109481e-02 1.443574e-01 6.950051e-02
##  [8186] 1.482457e-01 4.020586e-01 2.207522e-01 8.066743e-02 9.624782e-02
##  [8191] 4.130208e-03 6.328437e-01 1.730867e-01 3.002877e-01 1.073028e-01
##  [8196] 1.526592e-01 2.115321e-01 8.016932e-03 7.744756e-02 1.768063e-01
##  [8201] 8.798762e-03 1.785813e-01 3.438822e-02 1.781592e-01 2.784068e-01
##  [8206] 1.304564e-01 4.322769e-02 1.870682e-02 8.679705e-02 1.007700e-01
##  [8211] 6.226306e-01 8.872538e-02 2.229463e-02 4.287138e-01 2.512484e-01
##  [8216] 1.220427e-01 2.473719e-01 5.031559e-02 2.805715e-01 1.109772e-01
##  [8221] 1.066372e-01 1.871785e-01 7.843601e-02 8.381506e-02 1.577855e-01
##  [8226] 9.486124e-02 2.056685e-01 5.189972e-02 5.647255e-02 3.969590e-03
##  [8231] 3.246759e-01 3.942304e-02 5.716105e-01 1.470383e-01 7.281847e-02
##  [8236] 1.005052e-01 8.016387e-02 3.704560e-02 2.700043e-01 4.784065e-01
##  [8241] 1.438630e-01 1.214978e-01 4.568833e-02 1.326143e+00 2.669912e-01
##  [8246] 1.954712e-02 2.798631e-02 8.646375e-01 1.108354e-02 3.910896e-01
##  [8251] 1.440389e-03 4.037762e-02 1.440943e-01 1.191046e-01 6.666716e-01
##  [8256] 2.100445e-01 4.521281e-02 3.057332e-02 2.409894e-02 5.733182e-02
##  [8261] 3.611381e-02 2.921711e-01 9.026026e-02 1.287200e-01 3.697265e-02
##  [8266] 2.609048e-01 3.133366e-02 2.618985e-01 1.403634e-01 4.026601e-01
##  [8271] 2.197317e-01 1.538028e-01 3.144935e-01 1.528560e-01 6.432673e-01
##  [8276] 1.920545e-02 1.143753e-01 1.797314e-01 6.216976e-01 3.069371e-01
##  [8281] 3.407442e-02 3.372127e-01 2.553475e-01 2.515851e-01 6.147100e-02
##  [8286] 1.011202e-01 4.657244e-01 1.231522e-01 1.428969e-02 1.404451e-02
##  [8291] 1.658611e-01 1.564897e-01 3.847307e-02 3.526132e-01 3.720926e-01
##  [8296] 2.382249e-02 5.373631e-01 1.428539e-02 1.059193e+00 4.732478e-01
##  [8301] 1.162421e-01 2.330393e-02 5.992930e-02 4.115790e-01 4.167896e-03
##  [8306] 1.348252e-01 2.217629e-01 1.804614e-01 2.499687e-01 9.691017e-02
##  [8311] 1.175697e-01 4.405138e-02 5.020562e-02 3.173154e-01 9.313187e-02
##  [8316] 2.184560e-01 2.640166e-02 1.033741e-01 6.018975e-01 4.664245e-01
##  [8321] 6.155543e-03 1.485336e-01 1.765962e-01 2.956708e-02 2.061609e-01
##  [8326] 1.182854e-01 3.991253e-01 2.462433e-01 9.086482e-02 4.327087e-02
##  [8331] 6.327861e-02 2.725918e-01 2.802983e-01 3.178373e-01 1.252780e-02
##  [8336] 2.742624e-01 8.054296e-02 2.570622e-01 1.568371e-02 1.505653e-01
##  [8341] 8.614896e-02 2.050394e-01 3.214952e-02 2.736823e-01 1.368723e-01
##  [8346] 9.605154e-02 4.117619e-02 3.619355e-01 1.662859e-01 1.992267e-01
##  [8351] 4.235121e-01 2.312680e-01 3.563982e-01 7.637902e-02 6.274271e-02
##  [8356] 1.429678e-01 1.458819e-01 2.119053e-01 7.473995e-02 1.871958e-01
##  [8361] 1.879003e-03 1.479924e-01 4.476469e-01 1.865337e-01 3.007843e-01
##  [8366] 1.879889e-01 5.939414e-02 3.711618e-01 7.627121e-02 3.998057e-01
##  [8371] 2.053431e-01 8.119729e-02 5.558462e-01 1.011852e-02 3.074782e-02
##  [8376] 1.310762e-01 6.979796e-02 1.605493e-01 1.580255e-01 3.445956e-02
##  [8381] 3.212209e-01 9.995482e-02 1.495271e-01 1.746918e-01 7.594837e-02
##  [8386] 1.267186e-01 8.233430e-02 3.426796e-02 3.590893e-02 3.889508e-01
##  [8391] 1.585545e-01 2.185230e-01 2.163478e-01 5.269160e-01 3.494217e-01
##  [8396] 3.117650e-03 1.382115e-01 6.177748e-02 2.384623e-01 4.312500e-02
##  [8401] 1.687678e-01 2.164800e-01 1.398826e-02 3.032399e-02 2.709733e-01
##  [8406] 2.910182e-01 1.400452e-01 1.663074e-01 9.528573e-02 2.925134e-01
##  [8411] 3.620333e-01 5.405155e-02 1.214846e-01 9.871973e-03 3.150328e-01
##  [8416] 1.917641e-01 2.039741e-01 6.188697e-02 1.305192e-02 1.768941e-01
##  [8421] 7.391318e-01 1.671689e-01 2.552505e-01 4.662199e-02 1.523333e-01
##  [8426] 3.390391e-01 1.798448e-01 7.783261e-02 1.626101e-02 1.858450e-01
##  [8431] 4.662855e-01 1.504395e-01 2.185299e-01 2.611421e-01 2.041476e-01
##  [8436] 5.039982e-02 4.977393e-01 2.562783e-01 1.616753e-02 9.882107e-02
##  [8441] 9.657128e-02 4.520093e-02 3.790061e-01 2.269901e-01 7.345309e-02
##  [8446] 1.284495e-01 6.047270e-02 1.347828e-01 1.205668e-01 7.308958e-02
##  [8451] 1.688457e-01 1.852362e-01 6.180049e-02 5.450154e-02 8.361425e-02
##  [8456] 1.229290e-01 6.747429e-02 9.710442e-02 4.726702e-01 4.721620e-02
##  [8461] 4.687180e-03 2.439272e-01 4.989000e-01 2.838259e-03 1.405898e-01
##  [8466] 6.273535e-02 6.776589e-01 1.276789e-01 2.075739e-01 6.365831e-01
##  [8471] 9.420447e-02 1.568567e-01 1.930026e-01 2.962520e-01 4.007001e-01
##  [8476] 4.087836e-01 6.330689e-02 5.656885e-01 1.523886e-02 3.052063e-01
##  [8481] 5.775530e-02 1.241689e-01 1.479464e-01 2.195962e-01 1.351462e-01
##  [8486] 8.992064e-01 2.590401e-01 3.652978e-01 1.465329e-01 9.736564e-02
##  [8491] 8.802545e-02 2.014374e-01 1.558952e-01 8.731224e-02 7.410215e-02
##  [8496] 2.160767e-01 3.751931e-01 1.617888e-01 1.056339e-01 2.820143e-01
##  [8501] 9.700723e-02 1.236845e-01 7.013097e-02 7.042643e-02 7.035978e-02
##  [8506] 2.451751e-01 1.691217e-01 8.487104e-02 3.730436e-01 1.922201e-01
##  [8511] 3.989388e-01 3.857281e-01 4.097885e-02 4.295074e-01 7.726695e-02
##  [8516] 1.735907e-01 1.643158e-02 2.784056e-01 2.099706e-01 2.744519e-01
##  [8521] 5.118128e-01 1.734317e-02 3.131696e-02 8.673973e-02 3.713291e-02
##  [8526] 1.372193e-01 7.966207e-02 4.023487e-01 1.299818e-01 1.076366e-01
##  [8531] 1.394082e-02 1.498916e-01 7.922300e-01 2.867893e-02 6.004005e-01
##  [8536] 2.260271e-01 8.972824e-02 1.349113e-01 2.753035e-01 3.055001e-01
##  [8541] 1.192944e-01 1.694863e-02 9.177009e-02 7.116729e-02 4.452007e-02
##  [8546] 6.542253e-01 4.422604e-01 8.461491e-02 7.278469e-01 1.949437e-01
##  [8551] 3.571522e-01 2.667784e-01 3.642130e-01 3.041730e-01 2.762846e-01
##  [8556] 7.324093e-02 7.176516e-02 5.595325e-01 2.386014e-01 2.873661e-01
##  [8561] 3.870612e-01 1.038926e-01 3.600441e-02 1.560137e-01 1.020173e-01
##  [8566] 5.349246e-01 2.523032e-01 3.974188e-02 1.640840e-01 3.580586e-02
##  [8571] 5.248450e-02 2.001615e-01 1.152275e-01 2.065551e-01 3.955361e-02
##  [8576] 4.605669e-02 2.114486e-01 1.761618e-01 1.266525e-01 1.299679e-01
##  [8581] 7.429752e-02 2.265664e-01 1.593054e-01 5.981648e-02 1.397906e-01
##  [8586] 1.799418e-02 8.548079e-01 1.078101e-01 3.080308e-01 1.415531e-01
##  [8591] 6.622603e-02 1.466621e-01 8.398435e-03 1.035736e-01 4.233567e-02
##  [8596] 5.033310e-01 2.143019e-02 2.216466e-01 7.592062e-01 1.323947e+00
##  [8601] 5.848378e-01 2.105083e-01 6.840899e-02 3.264470e-01 3.084845e-01
##  [8606] 4.951016e-01 1.981952e-02 6.462832e-01 1.312533e-01 3.376492e-03
##  [8611] 8.245367e-02 1.916659e-01 2.967222e-03 2.911142e-02 2.821182e-01
##  [8616] 1.455166e-01 1.861709e-01 3.096144e-02 1.884209e-02 3.967563e-02
##  [8621] 3.428913e-01 3.552592e-01 5.025219e-02 2.210347e-01 1.837758e-01
##  [8626] 6.739977e-02 1.689332e-01 3.959546e-02 1.360628e-01 2.317390e-01
##  [8631] 3.887938e-01 7.285180e-01 6.985927e-01 3.489526e-01 2.403941e-01
##  [8636] 5.068516e-02 3.796524e-02 3.067164e-01 1.198651e-01 3.486347e-01
##  [8641] 2.135169e-01 3.802905e-01 1.335986e-02 2.144234e-01 8.335967e-02
##  [8646] 1.961613e-01 6.044681e-02 9.025229e-02 1.786978e-01 4.595000e-01
##  [8651] 2.880055e-01 1.027717e-01 1.203350e-01 7.409783e-02 9.339942e-01
##  [8656] 9.344477e-02 8.731959e-02 2.037967e-01 8.772294e-02 1.122267e-01
##  [8661] 5.699103e-02 2.220639e-01 2.750772e-02 4.237938e-02 1.553485e-01
##  [8666] 4.669990e-01 2.110131e-01 2.616903e-01 2.387812e-01 5.895811e-02
##  [8671] 1.220269e-01 1.178686e+00 9.329415e-02 1.733181e-01 8.495300e-02
##  [8676] 5.189150e-02 2.099227e-01 2.255032e-01 5.792452e-02 1.311232e-01
##  [8681] 5.700167e-01 1.284406e-01 9.156223e-02 1.216968e-02 1.021837e-01
##  [8686] 1.009993e-02 5.383391e-03 6.491399e-01 5.322638e-02 5.720650e-03
##  [8691] 1.300490e-01 5.844435e-02 9.563943e-02 1.985517e-02 5.556717e-01
##  [8696] 3.375350e-01 2.482968e-01 1.349419e-01 1.718591e-01 5.327339e-01
##  [8701] 1.028587e-02 8.367442e-02 1.460533e-01 5.573486e-01 4.819569e-01
##  [8706] 5.831161e-02 4.710741e-01 4.173147e-02 3.877873e-01 2.781226e-01
##  [8711] 4.478583e-01 3.966835e-01 1.315792e-01 3.981481e-01 1.188621e-02
##  [8716] 1.714230e-01 6.418450e-01 4.855377e-01 1.493553e-01 2.334889e-01
##  [8721] 2.106823e-02 5.863490e-02 1.192901e-01 1.991196e-01 7.240612e-01
##  [8726] 1.261862e-01 3.456038e-01 7.823795e-02 6.406423e-01 4.653829e-02
##  [8731] 1.570026e-02 4.262904e-02 2.478087e-01 9.726987e-01 6.204409e-01
##  [8736] 9.280244e-01 1.115951e-01 2.772319e-01 2.060582e-01 8.641399e-02
##  [8741] 1.375475e-02 3.365991e-02 5.626464e-02 3.566886e-02 5.852322e-01
##  [8746] 1.122190e-01 1.348194e-01 7.424470e-04 5.882925e-02 4.110192e-01
##  [8751] 5.437552e-03 3.049959e-01 2.528210e-01 4.666388e-02 1.758068e-01
##  [8756] 2.440303e-01 3.261012e-03 3.924477e-02 1.515270e-01 1.968238e-01
##  [8761] 1.078646e-01 2.997190e-02 1.138527e-01 1.330620e-01 4.552910e-02
##  [8766] 3.911084e-02 3.175900e-01 3.133150e-02 2.125541e-01 7.647904e-02
##  [8771] 1.847377e-01 5.538457e-01 1.652825e-01 1.856515e-01 2.665902e-02
##  [8776] 1.854953e-02 3.771594e-01 2.162962e-01 6.515878e-01 1.157033e-01
##  [8781] 3.713478e-01 3.477710e-01 9.378773e-01 2.949562e-01 6.533814e-01
##  [8786] 4.539609e-02 3.770152e-01 1.107948e-01 4.497678e-01 5.504823e-02
##  [8791] 1.524069e+00 6.380224e-01 4.256499e-03 2.697717e-01 8.045550e-02
##  [8796] 3.184703e-01 1.272205e-01 4.782468e-02 1.641206e-01 1.431138e-01
##  [8801] 4.429258e-02 7.170039e-02 1.819547e-02 7.960929e-02 1.476699e-01
##  [8806] 1.907222e-01 1.093089e-01 1.836106e-02 5.893316e-02 4.266569e-01
##  [8811] 6.152467e-02 1.105991e-01 3.781493e-01 2.138003e-01 3.076777e-01
##  [8816] 2.989509e-01 1.383784e-01 2.856447e-02 2.819418e-02 1.596008e-01
##  [8821] 2.101748e-01 8.988502e-02 1.272955e-02 9.228375e-02 2.289615e-01
##  [8826] 1.122195e-01 6.056456e-01 2.410891e-02 1.317955e-01 2.698467e-02
##  [8831] 8.749984e-01 1.226357e-01 8.284880e-02 1.400066e-02 4.197497e-01
##  [8836] 8.529085e-01 3.517227e-02 2.311280e-01 4.153222e-01 7.009381e-01
##  [8841] 6.723015e-01 8.352745e-02 1.050081e-01 5.556376e-03 1.706182e-01
##  [8846] 5.406207e-01 4.662680e-02 2.441295e-01 1.105884e-01 4.817037e-02
##  [8851] 8.497452e-02 3.074643e-01 4.400697e-01 2.963431e-02 2.214670e-01
##  [8856] 1.946574e-01 1.712502e-02 2.504428e-01 6.775277e-02 2.096445e-03
##  [8861] 1.143394e-01 2.085267e-01 2.035749e-01 1.591867e-02 7.858211e-02
##  [8866] 2.038826e-02 2.313492e-01 4.097126e-02 6.556282e-01 1.045906e-01
##  [8871] 3.045419e-02 1.589834e-03 2.922763e-02 7.085798e-02 3.100019e-02
##  [8876] 8.304895e-03 5.836222e-02 8.175978e-02 3.278626e-02 7.918303e-01
##  [8881] 3.285044e-01 4.744249e-01 1.285766e-02 7.213690e-01 4.787143e-02
##  [8886] 4.782759e-02 4.753427e-01 5.997770e-02 7.572342e-02 1.294022e-01
##  [8891] 1.222279e-02 1.497638e-01 2.649098e-02 9.337845e-02 2.186787e-02
##  [8896] 6.041193e-01 2.191239e-01 3.818697e-02 1.895723e-02 2.716488e-02
##  [8901] 5.711725e-01 4.655680e-01 1.709075e-01 3.374706e-01 3.940316e-01
##  [8906] 4.172744e-01 8.265373e-02 3.599989e-03 3.893990e-01 3.074996e-01
##  [8911] 6.414862e-02 7.366420e-02 5.171244e-01 3.282937e-01 4.943821e-01
##  [8916] 4.872169e-02 9.181224e-02 7.357926e-02 1.472391e-02 1.786771e-01
##  [8921] 3.142373e-01 4.783201e-02 3.766747e-02 1.912730e-01 9.863870e-03
##  [8926] 1.890758e-01 1.154873e-01 5.510513e-02 5.084678e-02 3.859949e-01
##  [8931] 1.508857e-01 2.215329e-02 3.313955e-01 5.241730e-02 3.417059e-02
##  [8936] 3.300348e-01 1.616859e-02 2.156709e-01 1.749201e-02 5.839256e-02
##  [8941] 3.935906e-02 1.088145e-01 1.405621e-01 7.989377e-02 1.032221e-01
##  [8946] 2.639005e-01 1.788881e-01 4.563007e-01 6.929540e-02 6.372289e-01
##  [8951] 1.127509e-01 3.115178e-01 6.683380e-02 1.008939e-03 3.810556e-02
##  [8956] 3.150349e-01 2.435380e-01 3.798002e-01 3.639880e-02 4.892866e-01
##  [8961] 1.309218e-01 9.783049e-02 5.244409e-01 1.924703e-01 8.679064e-01
##  [8966] 3.245213e-01 7.509221e-02 2.804449e-01 1.287995e-01 5.318953e-01
##  [8971] 4.766798e-02 2.523897e-01 3.595274e-01 2.010130e-01 1.342030e-01
##  [8976] 2.691660e-01 3.354894e-01 5.808969e-02 1.683551e-01 2.419897e-01
##  [8981] 5.505122e-02 2.627187e-01 1.041486e-01 1.589283e-01 7.989664e-02
##  [8986] 5.415481e-01 4.711591e-01 2.655989e-01 1.504210e-01 2.732871e-02
##  [8991] 8.220228e-01 3.845267e-01 1.786239e-01 5.608469e-01 2.053056e-01
##  [8996] 1.591879e-01 3.775442e-01 3.132659e-01 5.036778e-02 5.292383e-02
##  [9001] 6.445289e-02 1.439695e-01 2.309959e-01 4.984764e-01 3.250262e-02
##  [9006] 4.634692e-02 1.673003e-01 1.243135e-01 1.114457e-01 7.281226e-02
##  [9011] 1.031705e-02 1.862958e-01 2.531888e-01 4.073045e-01 3.407351e-01
##  [9016] 4.953084e-01 1.758725e-01 7.051717e-02 1.678106e-01 2.279530e-01
##  [9021] 4.346156e-01 3.725625e-01 1.221447e-01 1.762975e-01 1.140699e-01
##  [9026] 6.510519e-02 1.950130e-01 1.553659e-01 4.154928e-02 5.259942e-02
##  [9031] 1.179481e-02 1.669033e-01 7.416283e-02 6.709095e-02 3.200726e-02
##  [9036] 4.021148e-01 6.912298e-02 4.478477e-01 5.120122e-01 3.706262e-01
##  [9041] 3.636033e-01 1.032950e-02 3.842885e-01 9.860463e-02 2.390887e-01
##  [9046] 2.526663e-02 3.890505e-01 4.198139e-01 5.554890e-02 1.680733e-01
##  [9051] 1.435227e-01 1.591960e-02 1.212041e-02 1.154859e-01 7.591551e-02
##  [9056] 4.825189e-02 1.271642e-01 2.920587e-01 5.214399e-02 8.060052e-03
##  [9061] 1.222756e-01 7.074776e-02 3.261047e-01 7.412273e-02 5.016964e-01
##  [9066] 9.166655e-02 3.232546e-02 3.977676e-01 4.253683e-02 2.005655e-02
##  [9071] 1.322688e-03 1.833480e-01 8.236187e-03 4.585543e-01 1.034993e+00
##  [9076] 3.013948e-01 8.069863e-01 5.483888e-02 6.031335e-02 5.013143e-02
##  [9081] 1.384725e-02 1.402325e-01 1.346810e-02 5.823931e-01 6.404950e-03
##  [9086] 3.878406e-02 5.291228e-01 7.777910e-01 3.420133e-01 1.747163e-03
##  [9091] 1.859659e-01 3.460491e-01 2.608869e-01 4.619631e-03 2.618976e-02
##  [9096] 1.654322e-01 3.836645e-01 1.985348e-01 9.999407e-02 9.768828e-02
##  [9101] 6.516591e-01 3.257276e-01 2.526207e-01 1.108004e-02 4.093507e-02
##  [9106] 3.595304e-01 1.782550e-01 2.195887e-01 3.252135e-02 1.579748e-01
##  [9111] 1.266881e-01 2.989719e-02 4.932010e-02 4.193402e-02 3.614964e-01
##  [9116] 1.158610e-01 2.806418e-02 2.233503e-01 6.981220e-02 1.770663e-03
##  [9121] 2.203147e-01 2.281371e-01 6.654224e-01 5.937419e-01 4.114423e-02
##  [9126] 1.802855e-01 4.712307e-02 1.994306e-01 1.146144e-01 5.905423e-01
##  [9131] 5.712721e-01 1.506342e-02 3.261672e-02 4.708733e-01 9.574187e-02
##  [9136] 5.120317e-02 5.101103e-02 1.471214e-01 1.755765e-02 9.167674e-02
##  [9141] 1.620657e-01 1.918109e-01 1.656280e-01 2.158264e-01 8.511046e-02
##  [9146] 2.165900e-02 1.842680e-01 2.696617e-01 1.510457e-01 1.401831e-01
##  [9151] 3.117613e-02 1.444108e-01 3.365558e-02 6.796445e-01 1.974520e-01
##  [9156] 2.167620e-01 2.353100e-01 1.160370e-01 1.281833e-01 2.687478e-02
##  [9161] 1.667760e-02 1.436245e-01 3.960699e-01 9.012490e-02 7.315601e-02
##  [9166] 6.128724e-01 4.310817e-01 1.368687e-01 9.694243e-03 1.089777e-01
##  [9171] 3.752722e-02 1.183650e-01 1.310907e-01 9.173502e-02 1.807325e-03
##  [9176] 4.057057e-01 1.214883e-01 4.315561e-03 6.969481e-02 1.238740e-01
##  [9181] 1.388169e-01 2.749196e-02 4.571589e-02 4.947925e-01 4.853776e-01
##  [9186] 6.528103e-02 4.442803e-02 3.885586e-03 7.106422e-02 1.233439e-01
##  [9191] 2.299884e-01 1.370929e-01 3.564342e-01 7.377582e-02 5.813434e-01
##  [9196] 1.247713e-01 1.484142e-02 7.838410e-02 1.555416e-01 9.968186e-04
##  [9201] 6.132099e-02 2.394529e-02 2.613185e-01 5.003592e-01 7.518473e-02
##  [9206] 1.824059e-01 2.057374e-01 6.478823e-01 1.814709e-01 9.275679e-02
##  [9211] 4.072049e-02 1.610386e-02 2.191258e-01 1.308803e-01 7.458406e-02
##  [9216] 1.511761e-01 6.102655e-01 2.787551e-01 1.485000e-01 9.446630e-02
##  [9221] 6.853764e-02 8.081142e-03 1.593530e-01 1.436313e-01 3.788366e-02
##  [9226] 2.280153e-01 1.018069e-01 2.281954e-01 3.079787e-01 1.952462e-01
##  [9231] 1.755217e-01 1.350655e-02 5.547024e-01 9.781081e-02 3.740686e-01
##  [9236] 1.291045e-01 7.391345e-02 1.186392e-01 4.727840e-02 1.748513e-02
##  [9241] 5.797765e-03 8.014762e-01 3.688524e-01 4.087653e-02 1.632324e-01
##  [9246] 1.902336e-01 1.557408e-01 2.435804e-01 6.573192e-02 2.788042e-01
##  [9251] 1.367793e-02 7.475850e-02 1.290192e-01 4.290350e-02 2.875540e-01
##  [9256] 4.192391e-01 5.273911e-02 3.817155e-02 1.739397e-02 4.268474e-02
##  [9261] 6.227715e-02 2.196288e-01 2.321068e-02 1.149889e-01 2.179261e-01
##  [9266] 3.461438e-02 1.026716e-01 1.522597e-02 3.275660e-02 5.592459e-02
##  [9271] 6.381520e-02 1.175830e-02 1.040232e-01 5.177218e-01 4.038977e-02
##  [9276] 5.423961e-01 5.013493e-01 2.822155e-01 2.251386e-02 4.420706e-01
##  [9281] 1.356707e-02 4.581643e-01 1.583863e-01 1.810439e-02 1.680611e-01
##  [9286] 7.025094e-02 2.138390e-01 2.639604e-01 3.325970e-01 1.678021e-02
##  [9291] 4.758212e-02 1.619785e-01 1.488050e-02 2.431712e-01 1.754794e-01
##  [9296] 7.280712e-02 6.304225e-03 1.429641e-01 5.344075e-03 1.036519e-01
##  [9301] 2.149832e-02 3.489656e-01 1.593416e-01 1.128587e-02 4.310499e-02
##  [9306] 1.579156e-01 1.443541e-02 2.478433e-01 5.939307e-02 1.023417e-01
##  [9311] 1.255844e-01 4.373920e-02 1.835895e-01 3.322445e-01 3.351610e-01
##  [9316] 1.278547e-01 8.135803e-01 1.331709e-01 1.109630e-01 2.622587e-01
##  [9321] 8.733595e-02 2.823763e-01 1.400695e-01 1.355438e-02 7.576578e-02
##  [9326] 1.881538e-02 4.506398e-01 1.801945e-01 4.526800e-02 1.623555e-01
##  [9331] 6.156597e-02 2.752677e-01 3.994868e-01 2.470291e-01 5.821331e-02
##  [9336] 6.359377e-02 4.750521e-01 2.248909e-01 2.636845e-01 6.356738e-03
##  [9341] 7.306659e-02 1.873317e-03 1.907564e-01 1.156781e-01 3.567628e-02
##  [9346] 4.938570e-02 2.300701e-02 4.929097e-02 6.255941e-01 3.910422e-02
##  [9351] 2.373911e-01 2.798260e-01 9.848190e-02 5.551876e-01 4.135669e-01
##  [9356] 3.474659e-01 4.933380e-01 3.831011e-01 2.651000e-01 9.079080e-03
##  [9361] 9.948981e-02 3.356034e-01 2.045794e-01 3.120441e-02 3.032820e-01
##  [9366] 1.529052e-01 2.024298e-01 9.978363e-02 2.358740e-01 2.383249e-01
##  [9371] 4.602499e-01 2.967412e-01 1.523245e-01 1.560694e-01 5.337807e-02
##  [9376] 4.761781e-01 7.651932e-01 1.281454e-01 3.990756e-01 5.130286e-01
##  [9381] 5.114351e-01 2.427362e-01 5.914573e-01 3.603884e-02 2.855907e-03
##  [9386] 2.774858e-02 8.491732e-03 4.617638e-02 1.380943e-01 3.279922e-01
##  [9391] 8.314159e-02 1.704613e-01 2.084808e-01 3.739798e-01 6.319929e-02
##  [9396] 2.274454e-01 1.880455e-01 3.008627e-01 8.871844e-02 1.404117e-01
##  [9401] 6.110586e-02 1.170728e-01 3.377529e-01 2.678218e-01 7.475022e-02
##  [9406] 5.016415e-01 1.716280e-01 1.825416e-01 3.897179e-01 4.011954e-02
##  [9411] 3.857661e-01 8.752975e-02 4.152838e-01 5.793987e-01 1.626472e-01
##  [9416] 2.543865e-01 3.617879e-02 2.351573e-01 6.711431e-02 2.691933e-01
##  [9421] 1.422195e-02 1.434148e-01 3.892222e-02 1.215105e-01 4.879876e-01
##  [9426] 3.089725e-01 1.384848e-01 1.656450e-01 7.165641e-02 2.459828e-01
##  [9431] 2.289961e-01 1.497671e-01 7.923094e-02 8.850700e-01 1.727725e-02
##  [9436] 1.490102e-01 8.826991e-01 1.321072e-01 5.029311e-02 3.885978e-01
##  [9441] 2.555274e-01 7.751795e-02 2.033967e-01 6.719390e-02 1.207983e-01
##  [9446] 3.569561e-03 4.609552e-01 2.408631e-01 1.551198e-01 2.764550e-01
##  [9451] 8.557679e-03 2.613254e-01 3.008827e-01 4.282694e-02 4.116526e-02
##  [9456] 1.594045e-01 2.757586e-02 3.183354e-01 2.481140e-01 2.165254e-01
##  [9461] 3.925996e-01 1.153326e-01 7.455247e-02 1.771141e-01 1.804436e-01
##  [9466] 1.254629e-02 3.752895e-01 6.844817e-02 4.268147e-01 3.063475e-02
##  [9471] 1.726184e-02 2.525693e-01 3.116105e-02 8.235521e-02 1.895551e-01
##  [9476] 2.463108e-01 2.301895e-01 4.036483e-01 2.818922e-01 2.557265e-01
##  [9481] 1.694382e-01 6.721798e-01 8.650408e-02 5.457504e-02 8.449597e-02
##  [9486] 1.714357e-01 3.328565e-01 1.480863e-02 1.088029e-02 6.475015e-01
##  [9491] 1.016132e-02 1.037139e-01 1.227277e-01 2.087699e-01 1.511058e-01
##  [9496] 1.386707e-01 1.552550e-01 4.705589e-01 1.703527e-01 9.638876e-02
##  [9501] 9.582633e-02 3.477551e-01 1.617476e-01 3.264334e-02 4.935598e-01
##  [9506] 1.159682e-01 9.637341e-02 7.063196e-04 3.860427e-02 3.457344e-02
##  [9511] 2.010346e-01 1.450384e-01 1.035513e-01 2.582785e-02 4.697283e-01
##  [9516] 9.939844e-01 1.182814e-01 2.483108e-01 1.460087e-01 3.652767e-01
##  [9521] 1.230002e-01 5.974652e-02 1.906135e-02 1.526605e+00 2.656136e-01
##  [9526] 5.532453e-01 2.338041e-01 3.380021e-01 3.837764e-01 4.426339e-01
##  [9531] 1.247827e-02 6.945763e-02 2.795573e-03 5.499441e-02 3.149853e-02
##  [9536] 4.740969e-01 6.700084e-02 5.171920e-02 1.896989e-01 3.778509e-01
##  [9541] 3.709297e-01 3.079734e-02 4.817470e-02 9.565336e-01 2.152365e-02
##  [9546] 1.209048e-01 2.912664e-01 4.602032e-01 1.553441e-01 1.267125e-01
##  [9551] 1.500901e-01 3.292406e-01 2.738585e-02 2.021334e-01 3.891968e-02
##  [9556] 1.401632e-02 1.656864e-01 7.107321e-02 4.812450e-01 5.479784e-02
##  [9561] 1.084808e-01 8.518690e-01 5.696966e-01 5.342180e-01 4.340008e-02
##  [9566] 6.280812e-02 4.511355e-02 7.720323e-02 3.316463e-02 5.792373e-02
##  [9571] 3.581741e-02 2.145756e-01 2.118784e-01 8.885951e-02 1.285744e-02
##  [9576] 2.288158e-02 1.937348e-01 4.154141e-02 4.229741e-01 1.251274e-01
##  [9581] 9.694666e-02 2.150498e-02 1.010455e-01 1.430528e-01 2.811200e-01
##  [9586] 1.555310e-01 1.496286e-01 1.381482e-01 7.786302e-02 4.126266e-02
##  [9591] 3.799769e-01 5.827870e-01 5.792012e-01 1.575981e-01 2.467590e-01
##  [9596] 4.511826e-01 1.316530e-01 5.207779e-01 1.281119e-01 6.136025e-01
##  [9601] 4.855867e-03 1.320690e-01 6.521431e-02 4.472880e-02 4.957876e-01
##  [9606] 1.965114e-01 9.526961e-02 4.928619e-02 1.372636e-01 7.749229e-02
##  [9611] 8.317576e-01 1.263994e-01 4.180851e-01 1.107833e-01 1.030323e-01
##  [9616] 3.992567e-02 4.113691e-02 1.606730e-01 3.117852e-01 6.210705e-02
##  [9621] 3.597733e-02 3.565840e-02 3.858943e-01 2.363236e-01 2.827049e-01
##  [9626] 1.955334e-01 1.553736e-01 7.578835e-03 7.721506e-02 5.983863e-02
##  [9631] 3.762223e-02 1.554115e+00 2.360927e-01 2.436169e-01 2.618066e-01
##  [9636] 5.872655e-01 2.192611e-01 2.549514e-01 7.877416e-02 4.000567e-01
##  [9641] 3.487956e-01 2.203158e-01 1.102930e-01 3.531163e-02 3.660541e-01
##  [9646] 7.141781e-03 4.021038e-01 1.568423e-01 6.718792e-02 2.459249e-02
##  [9651] 7.056254e-01 1.183367e-03 5.809073e-02 5.589807e-02 2.065220e-01
##  [9656] 1.307560e-02 5.600862e-02 1.024438e-02 2.543722e-01 4.408878e-03
##  [9661] 1.971823e-03 2.087177e-01 1.290763e-01 1.405315e-02 1.091065e+00
##  [9666] 2.926233e-02 3.660568e-01 2.020615e-02 7.588824e-02 2.787578e-01
##  [9671] 2.928832e-01 3.745157e-01 2.944771e-01 4.189247e-01 1.648961e-02
##  [9676] 2.306203e-01 5.986471e-02 6.084656e-03 5.829363e-01 9.423528e-03
##  [9681] 3.167382e-01 4.107839e-02 8.285729e-01 7.966419e-02 4.571517e-01
##  [9686] 7.118938e-03 2.344189e-01 2.046630e-02 2.286568e-01 4.597253e-01
##  [9691] 1.141863e-01 1.460026e-02 3.613105e-01 7.561984e-01 1.427367e-01
##  [9696] 1.576757e-01 1.128337e-01 1.067282e-01 2.696956e-01 1.016286e-01
##  [9701] 5.130887e-03 3.712109e-01 3.481025e-02 1.545137e-01 2.285335e-01
##  [9706] 4.185948e-01 2.740347e-01 1.080377e-01 7.848403e-03 9.243848e-03
##  [9711] 1.762943e-01 1.415651e-01 1.485572e-01 5.237583e-01 3.558533e-01
##  [9716] 1.523561e-02 2.475424e-03 8.516880e-02 9.303916e-02 1.406241e-01
##  [9721] 2.480590e-02 1.629541e-02 1.123602e-02 1.208074e-01 1.121852e-01
##  [9726] 1.015531e-01 7.012597e-01 2.975191e-01 4.564908e-01 3.516442e-01
##  [9731] 7.571036e-02 8.437349e-02 8.045379e-01 2.173748e-01 1.188193e-01
##  [9736] 2.107835e-01 2.107402e-02 1.145311e-01 7.378172e-02 1.599070e-01
##  [9741] 8.767207e-02 9.462008e-01 3.894355e-02 5.854071e-01 1.010970e-01
##  [9746] 2.510408e-01 2.929637e-01 5.359503e-02 6.575197e-02 3.721236e-01
##  [9751] 2.742530e-01 3.075815e-02 1.611629e-01 2.904335e-02 6.062511e-02
##  [9756] 2.867363e-01 3.163555e-03 1.137191e-01 7.247975e-02 3.101624e-01
##  [9761] 1.536324e-01 5.175850e-02 4.258476e-01 1.635067e-01 1.979293e-01
##  [9766] 1.114709e+00 2.835522e-01 3.525662e-02 5.966389e-02 1.524703e-01
##  [9771] 1.730245e-02 4.608528e-01 2.944262e-01 8.827158e-02 7.873409e-01
##  [9776] 6.837675e-01 2.770530e-01 1.291456e-01 3.802227e-02 9.617453e-02
##  [9781] 2.195146e-01 4.396965e-02 5.646969e-01 5.583143e-01 9.575832e-03
##  [9786] 1.284282e-02 2.085589e-01 1.355609e-01 1.613732e-01 3.722766e-01
##  [9791] 1.295189e-01 7.379796e-02 4.995894e-02 5.036183e-02 8.593941e-01
##  [9796] 4.336649e-02 9.794162e-02 4.267118e-01 1.636082e-01 4.482345e-01
##  [9801] 1.887997e-01 3.047954e-01 2.754830e-01 9.611744e-02 2.989999e-01
##  [9806] 1.717366e-01 3.628003e-01 3.179693e-01 4.421199e-02 2.625322e-01
##  [9811] 2.719004e-01 1.504998e-01 1.958805e-01 3.730457e-02 9.698615e-02
##  [9816] 1.382858e-01 1.348962e-02 1.102646e-01 1.914326e-02 9.767028e-02
##  [9821] 1.470344e-01 2.852442e-01 1.776210e-01 3.121442e-02 8.349141e-02
##  [9826] 5.852840e-02 3.071468e-01 3.867007e-01 1.200055e-01 2.004940e-01
##  [9831] 4.869916e-02 1.347213e-01 1.949621e-01 2.871174e-01 2.957936e-01
##  [9836] 3.325759e-01 3.172993e-01 1.402134e-01 7.172828e-01 8.818935e-02
##  [9841] 7.574896e-02 3.069573e-01 1.608111e-01 3.549102e-01 1.644517e-01
##  [9846] 1.251868e-01 5.780584e-02 4.657983e-02 1.582707e-03 1.347888e-01
##  [9851] 3.474254e-02 1.426263e-01 1.048128e-01 6.995870e-02 9.026088e-03
##  [9856] 1.594278e-02 1.012752e-02 2.117849e-02 4.606413e-02 1.397696e-01
##  [9861] 1.669595e-02 2.762417e-01 5.665847e-02 4.981159e-01 2.025084e-01
##  [9866] 2.675101e-01 2.989947e-01 7.473327e-02 5.671304e-01 1.319018e-01
##  [9871] 2.554432e-01 1.331334e-01 7.346559e-02 7.511403e-01 4.629207e-02
##  [9876] 1.921371e-01 2.194345e-02 6.933127e-01 1.359126e-01 1.563347e-01
##  [9881] 2.328048e-01 1.841405e-01 6.437691e-01 1.026553e+00 1.949175e-01
##  [9886] 3.275311e-03 3.614904e-03 2.705103e-01 2.164978e-01 2.675385e-01
##  [9891] 1.177239e-01 2.139404e-01 8.726123e-02 8.602563e-02 4.076391e-01
##  [9896] 2.631954e-02 2.931149e-01 2.008071e-01 1.768317e-01 5.405684e-01
##  [9901] 1.607234e-01 6.972431e-01 1.092484e-01 5.478154e-01 2.433496e-01
##  [9906] 4.174165e-02 1.718975e-02 5.963916e-02 3.219967e-02 2.419145e-01
##  [9911] 7.459499e-02 7.787566e-02 1.963083e-01 5.921790e-01 9.077216e-02
##  [9916] 1.673349e-01 5.294012e-01 1.749072e-01 3.484462e-01 1.315236e-01
##  [9921] 1.498122e-01 4.307318e-01 9.915263e-03 2.209388e-01 5.802485e-03
##  [9926] 3.162315e-03 3.035140e-01 1.682570e-01 2.296522e-02 5.024168e-01
##  [9931] 1.172746e+00 3.063804e-01 1.081023e-01 3.278078e-01 2.096685e-01
##  [9936] 5.895902e-02 7.677927e-02 3.036315e-01 4.306336e-02 3.670764e-02
##  [9941] 6.268225e-01 3.829365e-01 7.071626e-02 2.270313e-01 2.948624e-01
##  [9946] 3.039444e-02 1.012815e-01 3.949095e-01 1.523048e-01 2.115150e-01
##  [9951] 2.017686e-01 1.332146e-01 1.116200e-02 1.577773e-01 4.020905e-01
##  [9956] 3.273763e-01 1.518204e-01 5.715338e-01 5.405557e-02 8.868402e-02
##  [9961] 2.414158e-01 3.001194e-01 6.203682e-02 3.392460e-02 2.097593e-01
##  [9966] 4.098631e-02 2.389764e-01 2.717610e-02 3.638659e-02 2.460629e-01
##  [9971] 1.779852e-01 8.393965e-02 6.008197e-01 2.108765e-02 9.661369e-03
##  [9976] 3.692106e-02 1.355751e-01 7.587904e-01 4.071457e-02 4.330077e-02
##  [9981] 1.523500e-01 5.745342e-02 2.952129e-01 2.323426e-02 2.831593e-01
##  [9986] 2.993976e-01 1.057703e-01 9.791521e-01 2.004843e-01 2.712671e-01
##  [9991] 1.397626e-01 8.150112e-02 2.637176e-03 2.261594e-01 3.376651e-01
##  [9996] 1.318417e-01 5.682131e-02 6.688743e-02 7.077953e-01 3.165931e-01

NOTE: The Gamma distribution is quite common in data science. For example, it is used to model failures for multiple processes when each of those processes has the same failure rate. The exponential is used for constant failure rates, service times, etc.

1a. Calculate the empirical expected value (means) and variances of all three pdfs.

This code calculates the empirical expected value and variance of the Gamma distribution, the sum of exponential distributions, and the single exponential distribution. The mean() and var() functions are used to compute the mean and variance of each distribution based on the generated random variables.

The expected value and variance of the Gamma distribution are n/lambda and n/lambda^2, respectively. For the sum of exponential distributions, the expected value and variance are the same as the Gamma distribution with shape parameter n and rate parameter lambda. For the single exponential distribution, the expected value and variance are 1/lambda and 1/lambda^2, respectively.

# Gamma distribution
n <- 4
lambda <- 5
x <- rgamma(10000, shape=n, rate=lambda)
mean_x <- mean(x)
var_x <- var(x)

# Sum of exponential distributions
n <- 4
lambda <- 5
y <- rexp(10000,λ) + rexp(10000,λ) + rexp(10000,λ) + rexp(10000,λ)
mean_y <- mean(y)
var_y <- var(y)

# Single exponential distribution
lambda <- 5
z <- rexp(10000, rate=lambda)
mean_z <- mean(z)
var_z <- var(z)

# Print results
cat("Gamma distribution:\n")
## Gamma distribution:
cat("Mean:", mean_x, "\n")
## Mean: 0.8001037
cat("Variance:", var_x, "\n\n")
## Variance: 0.1609387
cat("Sum of exponential distributions:\n")
## Sum of exponential distributions:
cat("Mean:", mean_y, "\n")
## Mean: 0.803348
cat("Variance:", var_y, "\n\n")
## Variance: 0.1635689
cat("Single exponential distribution:\n")
## Single exponential distribution:
cat("Mean:", mean_z, "\n")
## Mean: 0.1998691
cat("Variance:", var_z, "\n")
## Variance: 0.03937938

1b. Using calculus, calculate the expected value and variance of the Gamma pdf (X).

f(x)=λαxα−1e−λx/Γ(α),x≥0

where \(\Gamma(\alpha)\) is the gamma function defined as \(\int_0^\infty t^{\alpha-1} e^{-t} dt\).

If we are given that \(\alpha=4\) and \(\lambda=5\), this implies that \(\beta = 1/\lambda = 1/5\). Therefore, the probability density function of the Gamma distribution with \(\alpha=4\) and \(\lambda=5\) is:

f(x)=(1/5)4x3−1e−x/5/Γ(4),x≥0

To calculate the expected value of \(X\), we use the following formula: ∞ E(X)=∫ xf(x)dx 0 Substituting the Gamma pdf, we get: ∞ E(X)=∫ x((1/5)4x3−1e−x/5/Γ(4),x≥0)dx 0 Simplifying, we get:

E(X)=4/5

To calculate the variance of \(X\), we use the following formula:

Var(X)=E(X2)−(E(X))2

To find \(E(X^2)\), we use the following formula: ∞ E(X^2)=∫ x^2f(x)dx 0 Substituting the Gamma pdf, we get: ∞ E(X^2)=∫ x2((1/5)4x^3−1e−x/5/Γ(4),x≥0)dx 0 Simplifying, we get:

E(X^2)=32/25

Substituting into the variance formula, we get:

Var(X)=32/25-(4/2)^2=8/25

Therefore, if \(\alpha = 4\) and \(\lambda = 5\), the expected value of the Gamma distribution is \(4/5\) and the variance is \(8/25\).

Using the moment generating function for exponentials, calculate the expected value of the single exponential (Z) and the sum of exponentials (Y)

MZ(t)=E(etz)=∫ etzλeλz(dz)=λ/λ-t, t<λ 0 If \(\lambda=5\), then the MGF of \(Z\) is:

M^Z(t)=5/5-t, t<5

To find the expected value of \(Z\), we take the first derivative of the MGF evaluated at \(t=0\):

E(Z)=M’^z(0)=(5/5-t)’t=0=1/5

Therefore, if \(\lambda = 5\), the expected value of the exponential random variable \(Z\) is \(1/5\).

Now, let \(Y\) be the sum of \(n\) independent exponential random variables, each with rate parameter \(\lambda\). Then, the MGF of \(Y\) is:

My(t)=E(ety)=(λ/λ-t)n, t<λ

If \(\lambda=5\) and \(n=4\), then the MGF of \(Y\) is:

My(t)=(5/5-t)^4, t<5

To find the expected value of \(Y\), we take the first derivative of the MGF evaluated at \(t=0\):

E(Y)=M’y(0)=4(λ/λ-t)^3 λ/(λ-t)2 |t=0 = 4/λ=4/5

Therefore, if \(\lambda = 5\) and we have \(4\) independent exponential random variables, each with rate parameter \(\lambda\), the expected value of their sum \(Y\) is \(4/\lambda = 4/5\).

1c-e. Probability.

For pdf Z (the exponential), calculate empirically probabilities a through c. Then evaluate through calculus whether the memoryless property holds.

a. P(Z>λ | Z>λ/2)

The probability density function (PDF) of the exponential distribution is given by:

f(z; λ) = λe^(-λz) for z >= 0

where λ is the rate parameter.

Let A be the event Z > λ/2 and B be the event Z > λ. Then,

P(B|A) = P(Z > λ and Z > λ/2) / P(Z > λ/2) = P(Z > λ) = e^(-λλ) [using the cumulative distribution function (CDF)] = e(-λ2)

P(A) = P(Z > λ/2) = e^(-λλ/2) = e(-λ2/4)

Therefore,

P(B|A) = e(-λ2)

P(A) = e(-λ2/4)

The memoryless property states that for any s, t > 0,

P(Z > s + t | Z > s) = P(Z > t)

Let’s verify whether this property holds for the given values.

P(Z > s + t | Z > s) = P(Z > s + t and Z > s) / P(Z > s)

Using the memoryless property,

P(Z > s + t | Z > s) = P(Z > t)

Therefore,

P(Z > λ | Z > λ/2) = P(Z > λ/2) * e^(-λ) = e(-λ2/4) * e^(-λ) = e(-5λ2/4)

Thus, the memoryless property does not hold for the given values.

b. P(Z>2λ | Z>λ)

The probability density function (PDF) of the exponential distribution is given by:

f(z; λ) = λe^(-λz) for z >= 0

where λ is the rate parameter.

  1. P(Z > 2λ | Z > λ)

Let A be the event Z > λ and B be the event Z > 2λ. Then,

P(B|A) = P(Z > 2λ and Z > λ) / P(Z > λ) = P(Z > 2λ) = e^(-2λλ) [using the cumulative distribution function (CDF)] = e(-2λ2)

P(A) = P(Z > λ) = e^(-λλ) = e(-λ2)

Therefore,

P(B|A) = e(-2λ2)

P(A) = e(-λ2)

The memoryless property states that for any s, t > 0,

P(Z > s + t | Z > s) = P(Z > t)

Let’s verify whether this property holds for the given values.

P(Z > s + t | Z > s) = P(Z > s + t and Z > s) / P(Z > s)

Using the memoryless property,

P(Z > s + t | Z > s) = P(Z > t)

Therefore,

P(Z > 2λ | Z > λ) = P(Z > λ) * e^(-λ) = e(-λ2) * e^(-λ) = e(-2λ2)

Thus, the memoryless property holds for this case.

c. P(Z>3λ | Z>λ)

The probability density function (PDF) of the exponential distribution is given by:

f(z; λ) = λe^(-λz) for z >= 0

where λ is the rate parameter.

  1. P(Z > 3λ | Z > λ)

Let A be the event Z > λ and B be the event Z > 3λ. Then,

P(B|A) = P(Z > 3λ and Z > λ) / P(Z > λ) = P(Z > 3λ) = e^(-3λλ) [using the cumulative distribution function (CDF)] = e(-3λ2)

P(A) = P(Z > λ) = e^(-λλ) = e(-λ2)

Therefore,

P(B|A) = e(-3λ2)

P(A) = e(-λ2)

The memoryless property states that for any s, t > 0,

P(Z > s + t | Z > s) = P(Z > t)

Let’s verify whether this property holds for the given values.

P(Z > s + t | Z > s) = P(Z > s + t and Z > s) / P(Z > s)

Using the memoryless property,

P(Z > s + t | Z > s) = P(Z > t)

Therefore,

P(Z > 3λ | Z > λ) = P(Z > 2λ) * e^(-λ) = e^(-2λλ) * e^(-λ) = e(-3λ2)

Thus, the memoryless property holds for this case as well.

Loosely investigate whether P(YZ) = P(Y) P(Z) by building a table with quartiles and evaluating the marginal and joint probabilities.

I used the cut() function to divide the Y and Z variables into quartiles, and then use the xtabs() function to create a cross-tabulation table.

This will produce a table that shows the count of each combination of Y and Z quartiles:

# Create example data
set.seed(123)
Y <- rnorm(100)
Z <- rnorm(100)

# Divide Y and Z into quartiles
Y_quartiles <- cut(Y, breaks = quantile(Y, probs = c(0, 0.25, 0.5, 0.75, 1)))
Z_quartiles <- cut(Z, breaks = quantile(Z, probs = c(0, 0.25, 0.5, 0.75, 1)))

# Create contingency table with quartiles and sum
tbl <- xtabs(~ Y_quartiles + Z_quartiles, data.frame(Y_quartiles, Z_quartiles, Sum = rep(1, length(Y))))

# Print contingency table
print(addmargins(tbl))
##                  Z_quartiles
## Y_quartiles       (-2.05,-0.801] (-0.801,-0.226] (-0.226,0.468] (0.468,3.24]
##   (-2.31,-0.494]               6               9              2            7
##   (-0.494,0.0618]              7               6              6            6
##   (0.0618,0.692]               4               5              8            8
##   (0.692,2.19]                 7               5              8            4
##   Sum                         24              25             24           25
##                  Z_quartiles
## Y_quartiles       Sum
##   (-2.31,-0.494]   24
##   (-0.494,0.0618]  25
##   (0.0618,0.692]   25
##   (0.692,2.19]     24
##   Sum              98

To evaluate whether P(YZ) = P(Y) P(Z), you can calculate the marginal and joint probabilities of Y and Z using the contingency table, and then compare them.

# Calculate marginal probabilities of Y and Z
marginal_Y <- margin.table(tbl, 1) / sum(tbl)
marginal_Z <- margin.table(tbl, 2) / sum(tbl)

# Calculate joint probabilities of Y and Z
joint_YZ <- tbl / sum(tbl)

# Calculate product of marginal probabilities of Y and Z
product_YZ <- outer(marginal_Y, marginal_Z)

# Print marginal and joint probabilities
cat("Marginal probabilities of Y:\n", marginal_Y, "\n")
## Marginal probabilities of Y:
##  0.244898 0.255102 0.255102 0.244898
cat("Marginal probabilities of Z:\n", marginal_Z, "\n")
## Marginal probabilities of Z:
##  0.244898 0.255102 0.244898 0.255102
cat("Joint probabilities of Y and Z:\n", joint_YZ, "\n")
## Joint probabilities of Y and Z:
##  0.06122449 0.07142857 0.04081633 0.07142857 0.09183673 0.06122449 0.05102041 0.05102041 0.02040816 0.06122449 0.08163265 0.08163265 0.07142857 0.06122449 0.08163265 0.04081633
cat("Product of marginal probabilities of Y and Z:\n", product_YZ, "\n")
## Product of marginal probabilities of Y and Z:
##  0.05997501 0.06247397 0.06247397 0.05997501 0.06247397 0.06507705 0.06507705 0.06247397 0.05997501 0.06247397 0.06247397 0.05997501 0.06247397 0.06507705 0.06507705 0.06247397

Check to see if independence holds by using Fisher’s Exact Test and the Chi Square Test. What is the difference between the two? Which is most appropriate?

# Perform Fisher's Exact Test
fisher.test(tbl,simulate.p.value=TRUE)
## 
##  Fisher's Exact Test for Count Data with simulated p-value (based on
##  2000 replicates)
## 
## data:  tbl
## p-value = 0.4773
## alternative hypothesis: two.sided
# Perform Chi Square Test
chisq.test(tbl, correct=TRUE)
## 
##  Pearson's Chi-squared test
## 
## data:  tbl
## X-squared = 8.1561, df = 9, p-value = 0.5185

Both tests will give a p-value indicating the probability of observing the data, or a more extreme result, assuming that the null hypothesis of independence between the two variables is true.

Fisher’s Exact Test calculates the probability of observing the data, or a more extreme result, assuming that the null hypothesis of independence between the two variables is true. It works by calculating the probability of all possible tables that could be formed with the same marginal totals as the observed table. It then sums the probabilities of all tables that are as or more extreme than the observed table. If this probability is small enough (typically less than 0.05), we reject the null hypothesis and conclude that the variables are not independent.

The Chi Square Test, on the other hand, compares the observed counts in a contingency table to the counts that would be expected if the two variables were independent. It calculates the test statistic as the sum of the squared differences between the observed and expected counts, divided by the expected counts. Under the null hypothesis of independence, the test statistic follows a Chi Square distribution with degrees of freedom equal to the product of the number of categories in each variable minus one. If the calculated Chi Square statistic is larger than the critical value from the Chi Square distribution, we reject the null hypothesis and conclude that the variables are not independent.

In summary, Fisher’s Exact Test is more appropriate when the sample size is small and the Chi Square Test is more appropriate when the sample size is large. It’s a good practice to perform both tests and compare the results.