Description Usage Arguments Value References Examples
View source: R/draw.gamma.alpha.greater.than.one.R
This function implements pseudo-random number generation for a Gamma distribution for α>1 with pdf
f(x|α,β)=\frac{1}{Γ(α)β^{α}}x^{α-1}e^{-x/β}
for 0 ≤q x < ∞ and \min(α,β)>0 where α and β are the shape and scale parameters, respectively.
1 | draw.gamma.alpha.greater.than.one(nrep,alpha,beta)
|
nrep |
Number of data points to generate. |
alpha |
Shape parameter for desired gamma distribution. Must be greater than 1. |
beta |
Scale parameter for desired gamma distribution. |
A list of length five containing generated data, the theoretical mean, the empirical mean, the theoretical variance, and the empirical variance with names y, theo.mean, emp.mean, theo.var, and emp.var, respectively.
Cheng, R. C. H., & Feast, G. M. (1979). Some simple gamma variate generation. Applied Statistics, 28, 290-295.
1 2 3 | draw.gamma.alpha.greater.than.one(nrep=100000,alpha=2,beta=2)
draw.gamma.alpha.greater.than.one(nrep=100000,alpha=3,beta=0.4)
|
$y
[1] 1.52441550 3.21350060 3.83703652 3.65468213 11.33756943 3.39268228
[7] 1.81103736 10.41655314 13.09871910 0.30280769 7.98745540 2.49318417
[13] 7.00116038 6.69069893 2.46604783 4.98690109 4.05830318 1.78437822
[19] 10.49809026 3.07906016 6.80802052 1.48012645 4.22177821 2.52890370
[25] 5.66642608 6.47395088 3.65854157 2.08553519 7.10772960 6.79369331
[31] 6.00766104 9.66232488 0.75549899 0.64896067 4.28850271 4.59165901
[37] 12.46521517 2.55986582 0.04607118 7.43809215 4.87689805 2.66056415
[43] 3.05057416 1.27806575 5.97179037 4.31080174 5.52037307 3.64374411
[49] 2.21474319 5.22392226 2.91890169 8.19475371 6.12071570 7.63431124
[55] 1.86076192 0.28961075 1.18421358 3.11749582 1.68518119 3.63413209
[61] 6.10032323 8.40844755 0.59108477 3.00765960 14.56520191 4.90920491
[67] 2.58617129 0.89102164 4.21309300 6.89451310 2.65956422 2.11993736
[73] 7.76967558 1.57534969 3.55199572 0.93028996 4.79666756 0.77981629
[79] 3.71968652 1.39537335 2.76588041 2.41346551 2.96125743 3.54155305
[85] 3.84449965 2.92776070 5.11359848 5.38632612 1.48206698 0.80851972
[91] 7.87936041 5.94750547 1.07049954 3.61753212 3.83798195 3.65013240
[97] 2.25806458 6.82450445 7.10920339 4.19564556 4.90175913 1.79258707
[103] 1.41207401 1.77296720 4.35422663 5.39624216 1.87468264 3.63256014
[109] 5.95066639 3.52963033 3.56336974 3.68933189 0.78558300 7.62403295
[115] 3.07743826 2.94715443 3.41938425 3.05899360 2.43027402 3.25550556
[121] 8.40988004 2.37966637 1.41882668 3.98281486 2.70210232 7.02572871
[127] 5.35013458 8.13910395 2.44125245 2.28015223 1.66519160 8.05755048
[133] 3.55244674 4.98388368 2.29537698 2.07910115 3.39005065 10.28880816
[139] 0.59851909 8.79614762 2.08426787 6.85790516 3.25672927 7.74347451
[145] 5.70314418 1.04316634 12.37763745 1.76007557 3.83259796 2.05628306
[151] 7.48626137 4.54630761 4.53354142 2.49040763 1.57023191 3.77556476
[157] 5.49030026 2.72621142 4.63228634 2.73721081 0.03796836 2.88996179
[163] 1.10765821 2.66747821 2.03808477 9.21931160 13.52745544 2.58394488
[169] 1.91625278 1.59965363 8.67457952 1.46334329 0.76856718 2.68079984
[175] 3.26602692 2.33432515 3.38453641 2.84069410 3.19724619 3.94694442
[181] 1.07833568 5.89445948 2.98944208 2.31245074 7.38705626 2.11561627
[187] 2.37676956 0.59408787 3.97813489 3.84451123 4.46842749 5.15203705
[193] 3.31657813 8.02098120 3.14403090 4.00623255 4.65362070 0.32352169
[199] 5.29991475 3.65874463 2.84792494 2.96178599 2.88221129 3.78003479
[205] 3.10001591 3.00502932 6.31216537 3.69069512 0.37323297 4.55006318
[211] 1.50111781 0.56869361 2.15434338 7.45298116 1.20153206 1.71692929
[217] 3.29192962 9.17906335 10.61584496 1.37284021 7.91488377 0.66903174
[223] 1.50988709 4.36353809 3.41827008 2.19264989 4.78004474 1.52525576
[229] 3.25600091 3.77720941 9.29097776 1.59426633 4.84069103 8.22139891
[235] 6.63024526 0.62630536 2.41318543 3.38541014 2.85649176 2.32277235
[241] 7.01085302 5.00463701 3.90467640 0.78475750 5.16775427 8.51904525
[247] 5.52434999 8.61273824 4.31504443 4.25807908 2.31508341 2.10209659
[253] 3.01626254 2.55742237 2.32975688 2.35514543 4.11580158 3.65417936
[259] 5.49039177 0.77293850 3.96642688 5.61029338 1.75240570 0.88604279
[265] 7.17407441 6.77244688 2.68220765 2.48465629 4.12504077 8.96751744
[271] 3.53770926 5.03541907 7.68794879 2.37380475 1.56935006 2.67685445
[277] 1.67365719 2.75444581 2.43789137 1.19266640 8.50777346 5.90025777
[283] 13.42359841 7.53960081 6.27715923 4.10471330 4.66984225 5.81246010
[289] 12.36557831 4.96850754 1.61313383 3.12883841 0.42787207 2.59187327
[295] 4.13727628 4.75502385 1.75751740 4.37076190 1.94307856 3.33869744
[301] 2.36269648 2.39961471 1.60360747 3.77002081 2.85399693 9.93531167
[307] 0.25424625 3.52212260 2.20745336 5.40723840 6.68300649 3.91178783
[313] 3.60397948 9.08286202 2.07860353 5.10493504 5.03973521 0.90935474
[319] 1.83378375 2.14380216 2.40592684 5.32445927 1.69785465 5.15816563
[325] 4.93788890 2.05485788 3.56142838 1.25250364 4.14676133 1.48662864
[331] 5.34697804 2.69479853 2.98353084 1.06461583 1.63597749 0.94786472
[337] 4.49130733 3.51147642 9.45077027 3.34566939 8.36892225 3.11735874
[343] 2.35229032 4.17937053 4.36224904 7.59769982 2.26210744 6.92623933
[349] 2.77362426 0.40602883 3.39125929 1.85921323 3.79529449 6.75568164
[355] 2.08471245 2.74036510 2.53963561 2.87186381 6.00414573 8.38870900
[361] 3.48366795 1.72270909 3.95616433 4.14334018 3.98371265 4.97969483
[367] 0.67753405 4.34107192 2.28284037 1.55790607 1.96619699 3.01165225
[373] 3.94474215 14.02328267 0.74090757 11.80913691 2.93643481 0.89383313
[379] 1.59535010 7.45316197 3.75463815 2.94842636 0.57418597 1.78529910
[385] 0.20482434 2.57390291 6.25084408 1.58530848 1.98310792 2.26602377
[391] 2.13307998 4.25998689 6.62456391 7.43596076 5.06553869 2.40599639
[397] 3.76117120 8.21967649 5.05640204 5.54966108 4.61272782 4.29453101
[403] 0.71542289 7.63413956 1.74449816 1.27832218 3.73984662 8.91155268
[409] 3.20126321 3.56904508 0.99003722 1.86249998 9.88107772 1.72709249
[415] 8.40339755 2.00156608 3.91060383 5.93990285 3.13478207 0.95300704
[421] 11.76610364 1.02594511 2.16229302 4.01114387 5.90880780 11.95359424
[427] 1.90955510 2.58985115 2.40172565 9.80739980 1.42096753 6.70352173
[433] 2.58192266 0.46797303 10.49743522 0.89542302 3.20625599 12.95709965
[439] 1.50527683 3.41654068 1.67787777 6.48349956 6.83256899 1.87655749
[445] 1.37500163 1.85490741 7.56568273 3.31539022 4.03111007 0.34462689
[451] 0.04087435 3.12203177 3.73666339 1.84513880 3.86416585 2.47395332
[457] 1.86561007 7.44589421 2.35503170 5.47163673 1.24900064 1.12159777
[463] 1.83207853 1.39258293 5.41916420 2.46203841 2.82635519 3.07324984
[469] 1.52673601 8.93864310 2.29907168 9.05212057 7.70120012 2.08550396
[475] 2.27678379 1.07612794 1.31192574 1.93987111 2.40679913 3.63308859
[481] 3.85392464 1.45083295 3.03766141 2.36144194 0.09362908 1.68036712
[487] 1.23448326 5.18537017 10.96078733 1.05718697 7.14267605 6.34822806
[493] 10.52413632 1.13843507 2.31751548 8.03121908 0.57371848 4.53803814
[499] 4.25010047 4.70363196 4.00230763 11.39640731 6.25037309 2.44004235
[505] 8.47196418 1.24894176 0.25334752 2.01478606 2.20140012 16.07157499
[511] 5.01131903 3.08046221 1.21950800 12.58197970 6.10299499 6.85576863
[517] 2.81102054 5.24445788 0.49847715 6.34929922 5.24292011 8.76171584
[523] 3.29303159 9.68597067 5.15994793 3.34892542 0.18241346 2.37672627
[529] 3.25479771 7.66528771 1.10358623 2.99224356 1.45135724 2.15986867
[535] 3.63534489 8.65013702 2.02695453 7.56396169 4.61246655 4.39282463
[541] 4.20170162 8.17512135 3.15954673 2.70923899 6.50516266 5.31667435
[547] 2.48320532 5.01714025 4.34242831 0.83072683 2.16807039 1.67314257
[553] 9.99680660 4.22649466 1.06305566 5.11411556 3.38786118 0.80123853
[559] 2.20075052 3.81802513 1.51220271 2.61947993 4.30437393 4.03609431
[565] 3.25643995 1.41045123 0.63038398 2.83851851 1.94570188 3.53833313
[571] 2.83837281 1.50236945 4.92652577 1.63675957 1.19529535 1.10306287
[577] 1.59170005 1.86897442 5.72013881 0.69876216 3.08441812 1.68323369
[583] 3.95383367 5.91462431 5.57705118 6.98122406 0.33416421 0.56760327
[589] 0.09194011 1.27346599 1.01831395 1.69460646 2.32174386 5.54651125
[595] 1.55075319 1.71857309 0.88948598 10.07883522 2.34953072 1.42645975
[601] 2.20986721 0.31144083 3.33006798 4.97407680 4.21005798 2.24563049
[607] 0.94415962 7.25695782 5.64308686 2.17299392 2.50966587 4.16793316
[613] 1.41100963 12.11849871 5.26102107 7.83715153 11.88531025 6.26682815
[619] 1.65853279 3.33543811 4.02228347 1.98663086 4.86747897 1.28789401
[625] 1.20360612 2.65785093 3.81791142 2.89562447 4.51832618 8.11526716
[631] 6.03752320 8.72082767 4.19650915 6.90692835 0.87955065 5.56924635
[637] 3.12712653 3.73576464 4.03574679 5.56174125 1.25559678 3.32659753
[643] 5.05552097 1.33759979 4.62526417 1.85905657 1.21076381 5.60510406
[649] 1.73817128 2.42678887 3.11877577 5.17394983 8.84134175 1.39451437
[655] 5.53531504 0.08146735 2.52331724 1.29130326 6.53070202 2.64322968
[661] 1.44401703 4.58210784 4.17924835 11.91576482 0.73994124 3.49731823
[667] 0.64841078 3.53508612 3.00272587 1.40211642 1.40965883 6.47935798
[673] 1.79102435 2.17873102 6.50613202 3.12205061 2.80942879 1.36584018
[679] 5.92504870 3.56696956 1.39610649 2.10574031 9.57541718 2.21538658
[685] 1.58812268 2.85542579 7.52269107 4.43606670 4.65263585 5.17610148
[691] 0.63631255 10.11953238 1.96885552 4.67368325 4.34597737 1.57570563
[697] 1.97879840 3.88816030 2.32660839 4.62309396 4.68010932 2.84644833
[703] 4.99021490 5.07712866 7.09009657 6.70278007 2.62950435 2.88014092
[709] 1.54673851 6.27005006 0.70098868 8.12161845 4.78546823 3.41685113
[715] 6.73017862 1.25634801 2.64124047 2.48448107 7.54735056 2.09977868
[721] 9.50586324 5.04985973 12.57572214 0.17060099 2.35849748 6.18602336
[727] 11.50984806 2.28002879 1.93829914 1.08662512 4.80457635 2.29511472
[733] 5.84239116 1.85375302 1.29168395 12.40480409 2.05670303 2.75137895
[739] 2.60887362 5.82088540 0.83312343 6.54377714 4.55429512 1.13455082
[745] 5.03930383 3.55904831 5.88076191 0.98541727 4.97466092 10.68322261
[751] 5.53068586 4.06132645 4.33308330 4.11400661 3.67581800 8.40422789
[757] 4.47230177 10.46830291 1.15333058 4.14461646 6.78050685 2.09522849
[763] 6.28653110 2.96208355 10.93328018 4.22508828 6.80949191 4.06607620
[769] 7.47933639 0.58286254 13.35039115 4.87939880 3.10021625 11.54954493
[775] 3.27691553 5.14778964 1.21081068 7.53238738 0.85152570 4.19300138
[781] 1.95531309 5.72744618 4.03137695 3.89066214 3.37946602 2.81424008
[787] 5.06904219 6.95134422 5.25179665 8.45988140 14.47642127 4.09946619
[793] 18.77512179 1.40293642 1.87896490 1.00180815 2.90970738 1.63487103
[799] 1.62739289 1.18403084 0.53860276 1.92565355 6.90399670 0.26307905
[805] 3.32419113 4.84593384 2.86846783 6.43724075 3.23026752 3.43108681
[811] 4.08975839 1.25655529 2.68409302 6.50197899 4.11747337 6.26712526
[817] 6.30248799 7.00459916 3.27239113 3.49333045 2.20800895 5.54733796
[823] 12.32735835 4.13607223 2.95987114 1.48202591 6.47713795 4.74995359
[829] 1.45362753 2.36103162 1.78563791 0.49551325 4.21722471 5.54624652
[835] 1.68272368 4.23848643 0.43977917 1.67245474 0.81932459 3.94802972
[841] 3.14489159 1.20777401 1.83290704 2.32219727 3.08701115 1.82409763
[847] 2.75157142 7.83175605 1.10271221 0.51449688 9.44164549 2.88132688
[853] 3.60837231 4.56359973 7.35547983 3.08215929 6.20619819 2.37497533
[859] 3.59531665 0.96113035 1.50564481 4.13797239 3.56651052 2.87521257
[865] 6.25335891 2.67639593 1.80617288 3.88981667 0.86712816 1.57062322
[871] 1.83626569 3.30090291 3.24057688 3.02237829 3.35830251 4.78005002
[877] 4.42971883 3.66635212 4.19667615 17.73742822 0.36025893 1.49751826
[883] 1.92941015 2.67850329 7.60844086 9.89135938 9.25803463 1.10539957
[889] 3.74484761 4.03168314 2.43964910 2.05823562 1.34822483 2.09348173
[895] 4.64085023 3.75701605 1.15204068 4.15383246 6.26662891 3.26788585
[901] 8.32743403 11.29690784 10.27717387 1.23579228 0.23773786 7.66456867
[907] 3.31983362 2.52036277 4.99733751 3.26192090 5.04601833 4.03422568
[913] 3.40315140 4.87069124 2.05789385 1.54262532 1.61072290 3.63786035
[919] 0.45612515 2.60926025 1.96264655 0.39161286 6.31072617 2.61120389
[925] 4.31915846 5.51149883 2.78401324 7.90097627 1.62200985 0.62249533
[931] 1.22344129 1.73705828 1.79652855 5.25163210 13.74123265 1.48148123
[937] 1.28407869 3.32890691 2.08937012 4.36478373 5.98492262 4.09427240
[943] 4.67868640 0.41232852 2.19331575 7.43041884 1.48275663 2.36110157
[949] 3.55401973 6.20819306 11.17590390 3.40574627 2.87121519 3.39263606
[955] 2.76545317 3.81505146 6.87672361 1.02263961 2.02613364 8.09152098
[961] 1.85652176 4.80420849 4.09930625 4.96233455 6.89720965 3.57063407
[967] 0.87814921 4.90863507 2.74473126 3.51922267 2.41183177 5.81424953
[973] 3.51869614 2.96900436 4.89492092 1.75701373 2.76603194 1.58835625
[979] 3.21011982 4.23953706 4.65686203 4.28361875 9.97331708 2.61635426
[985] 4.85409353 8.20718312 2.00856801 8.88234494 1.38307681 7.49598892
[991] 2.69087057 5.34229781 5.29434938 3.29623137 3.36113483 5.81582329
[997] 4.62937095 3.54842706 1.83430859 3.28608981 1.21590496 3.09496334
[1003] 4.75875717 4.14162621 1.68148541 7.31349586 6.39523904 2.19676000
[1009] 5.00610552 5.40887758 0.43813585 2.77579907 1.00706031 6.35560693
[1015] 1.44582763 3.65455754 1.04474637 2.73982335 4.19148502 9.39708075
[1021] 8.77780048 6.42243375 6.93756151 3.38500454 1.35720644 5.07465722
[1027] 4.07815700 6.36534097 3.98015482 12.04874358 4.70777174 2.79691931
[1033] 2.56842806 2.06456820 0.94733814 6.44740045 2.36986775 4.01755350
[1039] 3.69009843 3.57696149 0.48627007 3.66637459 4.93931021 0.69703645
[1045] 4.56084503 1.02929027 1.38676036 1.75947146 7.02339183 4.39984624
[1051] 1.74658452 4.99118443 1.40985374 3.30566361 2.96910175 3.04357056
[1057] 6.50727827 5.47732824 1.78299054 3.09735854 5.27752065 2.58270341
[1063] 3.26160169 1.65145305 2.59042985 8.84471737 0.85973904 7.27675979
[1069] 6.33984052 1.73589790 2.95458177 13.37270615 4.64155290 4.23818974
[1075] 9.09314710 7.33327258 3.81405456 5.71456187 0.54080259 2.07802946
[1081] 1.67074537 4.41388117 3.27213628 1.52390931 2.23475763 2.52650647
[1087] 3.65940300 10.02183397 1.57298913 3.06715603 14.77101173 10.79865305
[1093] 5.61513467 1.66088316 2.05628322 6.47443046 5.94637365 3.72579031
[1099] 3.45315791 0.44026539 6.65210698 4.31012040 6.93621836 9.17397975
[1105] 3.37863285 3.60841253 4.56762339 2.23495421 4.61269406 5.18805315
[1111] 3.44325244 1.17687831 1.53432935 3.54701681 3.71012518 7.08101587
[1117] 1.78114171 4.06201407 11.32028942 5.86729562 13.58431928 3.36202042
[1123] 6.31764412 3.51875065 6.08704784 1.91771045 2.51508704 0.58359632
[1129] 5.43082531 3.21235286 5.09598864 2.86377696 1.54318562 7.62220155
[1135] 5.77509225 2.78357134 8.47123975 2.77819083 1.56728102 6.51801342
[1141] 4.28311194 5.25483128 0.12824839 2.51975674 3.01466247 1.67316107
[1147] 3.92087145 2.74682918 1.05870682 2.91825582 3.74081013 3.04617122
[1153] 1.91080160 2.07550673 3.38544560 6.78861084 4.58673377 3.68134465
[1159] 7.39884535 3.52014933 6.34084682 0.83121583 2.79253677 2.23089876
[1165] 0.36271951 0.77418769 4.00250815 1.45823603 6.17482055 11.17176454
[1171] 1.63980798 10.33164746 5.30342702 2.34574572 1.51549754 2.10050931
[1177] 2.20200635 4.51590622 1.84608219 4.13721602 4.68283487 5.04552825
[1183] 5.02066525 2.91531727 4.75989731 6.53595936 4.27097790 1.01959678
[1189] 3.35477871 6.41408132 5.94392591 1.30811093 2.71239017 1.50945941
[1195] 1.79589356 6.30966509 2.13671869 2.02978838 8.30112001 3.78447263
[1201] 0.81861301 2.54149267 0.30450548 1.21576043 2.95368631 1.17589860
[1207] 5.66072356 1.34638407 4.58240973 2.01051659 4.68265763 7.65421635
[1213] 4.54265287 3.32771147 5.93319366 2.85744850 2.67957176 2.69351263
[1219] 2.87520065 5.67766501 3.13059924 1.17527270 6.04144065 11.28503384
[1225] 3.75469610 6.52103147 1.89605211 3.47969937 3.52626815 1.74126929
[1231] 2.90510921 2.72645032 2.46159524 4.45979520 2.22248130 10.01963026
[1237] 4.53366315 1.54359146 0.43466591 8.64843335 3.56368643 2.83869706
[1243] 7.16682410 4.32068904 3.90703967 2.58911375 7.37986612 5.26884491
[1249] 1.14862085 7.15514159 4.13792680 1.08490176 2.38897393 1.59109357
[1255] 4.04136307 3.94186349 1.25728394 4.53770127 1.26318551 3.75284227
[1261] 3.90590222 5.56999381 2.20479612 0.65733543 8.33655212 5.71421867
[1267] 1.92241223 6.56695547 0.55713277 3.74172349 9.11062831 4.78564474
[1273] 8.86420771 1.88925170 0.76960044 5.52504464 3.18778124 2.87630350
[1279] 0.41742956 1.97069259 2.37043857 3.01920461 3.55572155 6.27042808
[1285] 0.89895538 5.09235605 3.72588367 0.53649415 1.41655683 5.06688384
[1291] 4.58065299 5.51775615 1.74072978 5.72462044 4.20519570 6.24126999
[1297] 4.43764391 0.65154205 5.25996575 4.11045085 7.60249925 12.76367348
[1303] 3.93095307 7.87719030 3.06757877 7.01936330 3.75207164 2.19693939
[1309] 4.85950136 4.24306308 12.82102191 0.39062366 6.48723833 5.52057258
[1315] 4.48619162 3.25497154 6.96766453 4.86279633 3.93364291 2.12019610
[1321] 1.46909453 4.35396724 1.02173108 1.86519965 4.47390230 2.52065205
[1327] 1.81758704 6.56456930 9.71550236 4.35004004 1.88689343 2.18941967
[1333] 5.47197447 2.25085382 3.56597528 6.43558235 5.18694260 10.56921310
[1339] 4.66085536 7.52495390 3.47284192 5.54829354 3.61251003 7.17079259
[1345] 4.13687899 3.62970348 2.64888305 2.66031085 7.26924773 4.82096264
[1351] 4.15157754 2.94209356 2.47728292 1.45426395 0.58354554 4.45825609
[1357] 1.88548333 2.08742753 6.18860475 6.80203252 8.57881631 3.70470470
[1363] 6.80711307 1.49107536 2.45471650 4.15881110 0.46614730 5.05265551
[1369] 4.28951650 6.47332329 1.14784424 10.96396425 1.19380005 4.05259119
[1375] 4.28718547 4.30005505 2.47406679 2.48683967 4.93075630 1.17285605
[1381] 8.37721834 2.27288519 3.97068084 0.05870727 2.78292323 0.91483896
[1387] 2.83922470 1.44573509 3.02442640 5.93435901 2.18476446 0.54096793
[1393] 1.93831876 4.62232500 4.29271614 8.04309686 1.35710190 4.81849444
[1399] 1.00464945 8.27816310 1.02220460 8.40974657 0.70275041 3.04120031
[1405] 5.06034256 1.31455216 2.32372148 1.73085178 8.10022779 1.21803583
[1411] 1.00335501 1.09055149 3.99938073 1.65922492 3.62706015 3.67449142
[1417] 3.07003105 7.03270944 1.25129428 4.89058280 6.41242512 2.17609574
[1423] 3.34231832 3.09526976 1.63590082 4.69573286 12.24971707 2.30646171
[1429] 3.80941011 1.48204188 3.68911124 2.35956365 2.85153941 5.76379463
[1435] 3.65287601 3.70906274 1.53604854 3.54010019 3.60465939 3.42516488
[1441] 2.76475041 3.89258918 1.17904469 1.75917501 1.40381342 0.82025314
[1447] 3.55037752 7.66935444 6.66359719 2.07690283 8.70191209 4.14701746
[1453] 1.99658813 3.16834396 5.14935265 7.54809109 7.02641917 2.63976319
[1459] 8.98162986 1.75856574 3.06969622 1.96962050 5.16728159 3.55027420
[1465] 5.07893190 2.88306651 3.42087264 0.66394290 4.43202352 1.84182359
[1471] 7.40679871 2.87346630 13.43903558 4.69375837 4.46915400 3.58110070
[1477] 2.61134084 7.42803063 5.71526573 2.14059263 2.17446361 1.28995702
[1483] 3.30749726 5.26540814 1.00694558 8.82659416 1.87286107 0.76189716
[1489] 6.97630139 2.22538701 0.55109509 1.78546329 4.99325905 3.19950812
[1495] 1.91501030 5.43091439 1.68931305 5.18861606 4.53507136 2.73187942
[1501] 1.74778907 6.86497510 2.73347156 0.86782134 0.98937283 1.95445075
[1507] 7.47615381 2.58223265 7.29826605 6.40051929 1.86744001 7.17211124
[1513] 0.72678781 2.16705969 9.29182899 4.39113275 2.39260467 3.25453737
[1519] 0.87966772 3.72365050 1.86042524 6.02845130 5.06149370 8.38178811
[1525] 0.21017365 3.90657825 6.89820262 5.17317312 5.06950548 4.87832065
[1531] 5.84401776 1.21890375 1.97829089 8.72892164 3.14605446 7.80105890
[1537] 1.97334696 1.35502917 10.48908638 1.11225278 1.74250636 2.22766559
[1543] 3.45218660 7.00135219 3.05446142 12.88044497 3.95002055 2.03433732
[1549] 2.85745230 0.75222082 7.26798849 3.14399818 3.86905140 3.81627736
[1555] 0.98327073 6.08189880 5.93479649 3.69870404 6.05128782 5.41679896
[1561] 3.42025123 8.05019851 11.29973666 8.57670271 11.57006452 1.37191165
[1567] 2.83750826 4.34476982 1.92378297 5.06649309 3.12214997 3.41511960
[1573] 5.05330373 5.00104845 0.54758092 9.20946042 3.37042958 1.36995222
[1579] 4.75422277 6.63407467 4.30173091 3.13128110 2.26142868 1.84301848
[1585] 13.08745438 6.10751812 6.38234182 3.43570672 1.08427001 0.31137544
[1591] 5.01664361 3.30904505 0.77315999 0.83469896 1.64724607 6.97484164
[1597] 2.25143203 0.93569749 3.26388989 4.51282393 0.66605284 6.19986481
[1603] 9.74984103 4.55780980 2.04533504 3.92164967 3.64383969 5.11534282
[1609] 1.96070325 6.38450507 2.53782446 1.89831865 5.06694540 3.25165705
[1615] 6.66390922 0.92918369 7.38647935 1.86232899 5.02072856 0.90080641
[1621] 6.03378566 6.54351383 1.81278555 6.55577529 0.41542377 10.40141827
[1627] 4.21668232 6.91896367 4.15381075 2.29867284 5.33729011 6.03178769
[1633] 3.41303791 6.54402611 1.89813931 2.22117188 4.76217432 1.74920936
[1639] 2.55693688 8.79381752 3.32326642 5.77862710 1.07570164 3.18204323
[1645] 2.08477976 8.14516307 6.03916707 7.61996198 7.06034277 11.10373774
[1651] 1.84913254 7.48213312 7.87430316 1.78292330 1.65614330 6.62654307
[1657] 2.44277063 1.11677504 3.10487045 2.29916734 0.97382289 2.08716202
[1663] 1.02238898 0.66721329 3.87594742 1.53341678 2.32957035 1.00170429
[1669] 8.22539013 1.47227912 10.89717956 5.97924183 3.03599198 6.77947734
[1675] 1.09262739 4.76623017 6.10705957 2.25187603 0.84037564 4.77041379
[1681] 6.06071629 9.71349647 6.94724369 6.07148794 4.22861639 3.82686896
[1687] 1.40840281 4.50083991 2.21218148 2.27844161 9.35307076 4.08439586
[1693] 1.72482869 4.17930782 5.23208665 4.34288565 5.15617793 1.88706695
[1699] 2.58495458 7.95102036 4.74925407 11.54003205 2.63459708 2.44450951
[1705] 1.65456342 1.15414585 4.39037204 5.55250846 5.15780827 5.65841940
[1711] 1.09229874 3.62166612 6.36181174 0.83657358 8.76883842 3.30421419
[1717] 8.20458341 6.45263314 2.09290537 2.56817143 2.27294197 1.61240601
[1723] 0.82279303 0.89613729 4.21633787 3.68055838 2.30002616 6.49393927
[1729] 12.68464108 4.50044564 4.27604389 1.59084861 0.46396024 6.67183571
[1735] 4.96476492 0.70021128 2.06992504 1.19600650 7.87992765 4.48646324
[1741] 4.19630527 3.41632691 1.33591459 8.35337282 4.81474046 1.79321586
[1747] 4.26370211 7.81892330 2.15917717 7.15574518 1.54208292 3.08977591
[1753] 6.84845839 7.94956133 3.08899087 1.19768671 1.50598752 0.58156575
[1759] 1.23600019 0.87484397 2.53823518 3.86270969 5.49608992 3.98150032
[1765] 3.20349567 2.27863853 1.13027287 1.08637412 4.25758140 4.79486936
[1771] 4.89253948 0.87145385 7.30381720 2.11632169 2.71939214 4.48252517
[1777] 2.72212775 3.10651104 1.63262468 4.66548929 6.05737259 1.11106593
[1783] 7.50252331 1.38848498 2.98943510 2.50696297 1.32622746 4.00500934
[1789] 2.75176538 5.93040164 8.01665261 0.97688407 6.44539685 4.26924219
[1795] 3.87480058 3.12378925 1.91501900 4.39071833 0.22439735 0.69055674
[1801] 3.76750110 1.68866607 1.78072126 1.82493571 0.66393982 5.46496921
[1807] 1.39248755 0.50667164 3.14826945 6.65487177 4.89922295 1.37519159
[1813] 3.75648371 4.22102555 3.07882921 7.38930426 3.40868083 2.12287177
[1819] 4.72943481 3.82018745 0.82105436 3.33949927 5.70852552 7.35309843
[1825] 0.70920614 4.62448082 7.67523252 1.14952093 2.15930377 2.72645636
[1831] 1.10189817 4.75187567 6.19083638 6.05598684 4.41935154 3.66987955
[1837] 3.36749178 5.25794289 0.38220016 1.61851495 3.45619213 2.40257951
[1843] 3.55009032 2.65464034 1.04866924 1.24245031 5.49446630 2.71283824
[1849] 11.67009081 2.84800054 17.67647907 9.83599027 2.35963221 3.45297639
[1855] 6.89179700 0.98664656 0.73056646 14.61392582 3.10952577 3.78611213
[1861] 0.91099840 10.84142978 1.64117268 5.42801947 0.59293686 4.50534073
[1867] 2.66505188 5.02511068 0.70855494 4.65187350 0.13603821 6.05850069
[1873] 4.22697084 2.91447673 0.49960479 9.08015020 6.56930658 4.57407412
[1879] 5.10144907 0.46256018 11.11926437 2.74647618 4.65516974 5.97470442
[1885] 8.49312073 0.50497940 1.93538172 6.87276435 7.95847486 8.87254430
[1891] 1.95203368 3.31860929 9.91441056 0.54891626 2.80898147 6.92147936
[1897] 5.33225346 8.20489431 1.85759081 2.73048236 3.57197079 0.71217125
[1903] 4.32750881 1.91894915 6.46270171 4.21695819 6.72518490 2.57525304
[1909] 3.67310942 4.48911710 4.51341142 2.23346166 5.57204319 0.42479275
[1915] 2.16898387 3.65869460 4.09516194 7.15230631 2.35323131 0.99132968
[1921] 0.71175375 0.88935754 1.66852249 5.18748319 25.91973388 1.82862924
[1927] 4.86668502 0.24657224 2.78045485 2.09792142 4.30569073 2.32865110
[1933] 3.05330215 1.16746780 5.16488154 2.49588682 9.14096818 4.10808420
[1939] 9.22087528 1.64835144 0.74313296 1.92878207 3.99055551 6.03906280
[1945] 1.72627148 5.57210304 3.54312161 1.09044187 2.54008203 0.69529284
[1951] 3.84386605 4.80913484 3.58058527 2.28500484 6.56187139 2.75086129
[1957] 1.73355255 11.19596633 2.70696998 0.48628090 3.33485119 7.86185367
[1963] 0.98980244 4.63977660 1.17707568 4.61232054 5.77031560 8.92724759
[1969] 1.83334779 4.30004172 5.29725093 4.96091013 0.36832410 6.37443024
[1975] 5.12882303 3.86203937 4.81867961 2.11854688 12.85413003 3.35325029
[1981] 6.42958522 6.40731896 2.02036967 2.83947698 0.37285155 1.33490676
[1987] 19.42979196 11.00951857 4.70609099 8.67277181 0.89928488 2.13383319
[1993] 1.91167691 2.14612832 3.68926651 4.34917304 6.50216240 3.73950950
[1999] 9.65480617 2.44234169 1.24099121 4.25829096 1.86690150 6.89969284
[2005] 3.50841780 3.72732493 0.34209804 5.92408025 8.85087982 3.91898361
[2011] 0.96526588 6.32760107 1.40997288 5.85692291 0.98602435 3.02473514
[2017] 2.29969236 7.75592382 4.45334302 2.74206708 6.90722151 1.49723086
[2023] 2.34908620 0.54529960 4.68327262 2.59455929 1.44671826 2.26518929
[2029] 11.02892038 0.46481508 1.38026506 7.98167377 1.52649396 3.64626582
[2035] 2.31945769 2.42305609 2.99891957 1.18957794 1.79872998 4.09689689
[2041] 3.03077413 11.82982785 2.58321399 6.29006877 0.88170960 1.16717357
[2047] 1.80805222 1.95661071 7.40443645 10.40665560 0.78196792 3.03218288
[2053] 12.91497881 1.24493412 5.13004897 2.21766484 2.38788326 4.31547593
[2059] 9.51131030 3.73675096 3.97410204 5.53906755 3.87306854 3.31717364
[2065] 2.77989428 2.85308305 5.71656130 3.04549043 5.09118400 3.60581899
[2071] 0.74437791 2.72349323 10.12182751 2.63967538 1.44911633 4.34286274
[2077] 2.78835353 4.46821641 1.81507516 3.73425795 0.46004798 2.97709683
[2083] 3.25570879 8.79782962 6.66986438 2.97942022 2.09717367 2.01343358
[2089] 2.93653377 1.78738390 3.38847495 3.24073458 3.63828621 5.10946142
[2095] 5.45927015 3.11084076 2.27223763 6.06465848 2.52666885 4.37498536
[2101] 2.65825210 2.87613718 2.71752004 2.00139606 7.98947610 0.74115309
[2107] 0.96584993 1.16674157 2.22167119 0.26601849 4.25699966 5.44504115
[2113] 3.12533717 3.01331701 8.36838671 4.20813146 5.24748029 3.20823117
[2119] 0.90498231 6.82591055 2.46723792 4.08255306 5.09340192 4.58560447
[2125] 1.44446517 4.71202878 4.37648275 7.14016849 2.41038702 7.80866565
[2131] 9.26846015 3.77003403 8.51684634 2.19198664 5.26972875 4.34311053
[2137] 8.07302389 1.39153699 2.49313936 1.74040187 4.67025995 7.70250518
[2143] 0.65649711 2.05251720 1.08454694 1.69466010 2.29741281 2.13985012
[2149] 1.87772894 1.00172020 2.14051844 0.15231880 1.84158149 2.27223132
[2155] 3.57778987 2.30758639 1.68343926 3.44449226 6.88426780 1.72327433
[2161] 1.48696325 5.53717119 0.45638613 2.06036567 4.74536596 0.53427007
[2167] 1.51536167 6.66874924 2.10378364 4.08890218 3.36595486 1.13174011
[2173] 1.94275952 10.30571417 1.78939277 6.76094797 11.66514623 5.51996848
[2179] 1.70066925 4.97520742 2.76713678 7.57075334 7.62907482 1.29033842
[2185] 0.96809730 3.35726292 3.15427588 1.27134611 5.68057101 3.56462087
[2191] 3.96295226 0.51368312 3.40094754 2.82822230 5.90042213 3.71113453
[2197] 7.25429350 3.47499200 2.52850690 2.91180703 3.81183460 1.68671884
[2203] 3.62939310 7.90355034 2.64745814 5.41125610 2.48869287 6.42941200
[2209] 6.22144999 2.90920697 3.05312440 7.09272470 2.23021039 3.83323193
[2215] 4.50422982 6.04218296 3.07350859 3.96608855 5.32227212 4.40510725
[2221] 4.97085317 0.63111824 1.68027100 3.52308328 4.41294355 4.02574626
[2227] 2.38252134 1.56560930 2.00787622 1.90103426 3.54114283 5.35725153
[2233] 9.06016180 1.18010290 4.86279587 4.73247662 3.36033926 2.66387989
[2239] 1.83149016 3.32638064 1.94814828 2.62816034 1.80595401 4.46906948
[2245] 5.78119383 0.13328446 7.90718967 10.23703425 2.77592673 1.39609899
[2251] 3.86870004 7.89246070 0.63916098 1.78561513 1.28407802 2.89375514
[2257] 3.37757355 0.22995883 4.68371929 1.04313576 2.97316014 1.73496572
[2263] 7.33963627 5.26229892 0.20369015 1.22540675 2.14633299 1.69720049
[2269] 2.37708402 7.35332452 7.02288476 2.54798205 5.27716523 5.72441435
[2275] 6.98821370 2.56451376 2.65873031 0.83964158 5.27160501 3.23810740
[2281] 6.99773056 3.41041955 6.89186367 5.90932040 10.55953687 4.04305926
[2287] 5.21460182 2.52263213 5.42758951 7.70370471 3.69289983 4.23561645
[2293] 1.38165585 2.28754393 1.67061483 2.09972358 2.46943290 3.49995315
[2299] 4.26083417 2.32890613 8.70908179 8.36279568 4.41223540 8.62657695
[2305] 8.71610696 3.38480749 6.53272804 5.91885826 3.41730570 2.98505148
[2311] 9.09891689 1.47503471 5.25853410 14.27359324 1.39673136 3.29291013
[2317] 5.26951915 11.04669540 2.63019263 10.96603798 2.06455857 0.84038293
[2323] 1.72173232 7.69289788 4.72232024 5.33226480 0.80152682 1.76546686
[2329] 5.54865191 1.66703168 1.28306573 2.26225401 0.73477793 5.21374327
[2335] 2.69170950 5.89765286 6.06023516 0.47964405 0.47190160 1.93621194
[2341] 3.38028303 10.71964247 0.97176006 2.67945772 3.02007733 5.25736478
[2347] 4.63971335 2.79851090 7.04087048 8.11700338 2.96780532 0.89325898
[2353] 5.74604674 1.53315399 1.91108896 6.85482088 0.64080450 4.50434762
[2359] 3.42720747 1.95392856 7.64781474 6.36088514 6.91549082 2.30206780
[2365] 4.85484576 4.82073377 14.32804897 2.19886728 4.60015775 6.44747056
[2371] 7.23926303 2.36270927 1.94959005 4.01883817 2.25712013 1.15667838
[2377] 6.20936550 0.53325057 5.16982621 7.46300922 1.66359690 4.81966637
[2383] 9.86816010 2.51572914 2.68515695 3.67800924 1.35891002 9.98181337
[2389] 6.27571267 0.78044095 2.42096345 3.23174718 1.05587819 1.93871605
[2395] 6.37153867 2.32571103 3.28440041 1.16007600 2.04946792 4.34215983
[2401] 0.95192796 1.86648296 6.22950087 3.18433084 2.70705637 3.49179218
[2407] 3.58438869 0.62486553 3.91545290 4.25266425 2.53052914 1.87908181
[2413] 6.44753610 0.48252106 7.66282057 1.84051684 4.16892339 0.80321990
[2419] 3.03422643 6.38550102 8.24430332 0.79099806 8.22842621 3.56705548
[2425] 3.59218499 3.77469609 5.12707296 1.19621208 2.56732796 1.66902445
[2431] 6.00352671 9.19114604 3.11506321 10.16570296 9.47495968 12.04311132
[2437] 7.47083302 5.41162822 1.11202527 1.12063388 0.94688289 3.25969939
[2443] 2.63199676 2.78860222 3.30541817 5.75834412 8.86489899 0.85052225
[2449] 6.47352752 0.81497981 7.64078241 2.58102450 1.72524966 3.11337142
[2455] 3.26118883 4.73920460 2.69842772 3.71588461 6.59408399 3.86172371
[2461] 5.96865488 0.22637050 4.51224138 0.92498703 2.15868419 12.27072211
[2467] 6.56906424 1.48434214 1.56926060 11.94671654 1.04421530 3.93266913
[2473] 2.29708220 13.25326525 8.76889604 1.39774358 10.57089625 4.94306241
[2479] 3.17922425 4.29828872 1.93808146 1.09909549 4.23967755 5.03931408
[2485] 5.83683981 5.46916330 15.06699383 0.98255613 2.52908123 3.49932351
[2491] 0.07669924 4.07196224 8.93282123 4.47809134 6.23181292 1.32916310
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[18829] 1.75071656 3.13077271 3.74341120 7.38303604 4.70277193 5.96948620
[18835] 12.64494301 10.92961255 3.56485493 5.39662803 0.36551789 1.83802896
[18841] 8.04479271 1.97235650 4.33685946 1.72592876 8.47606378 4.21239560
[18847] 8.24685041 11.35595070 7.69119762 5.08571625 3.01630764 3.20670688
[18853] 5.00540316 2.11911681 0.56741590 5.18429892 0.98092519 2.82830518
[18859] 1.58518153 7.55943650 5.21129373 4.23474996 1.56857668 4.82834197
[18865] 3.90869791 3.13632191 2.01414410 3.81586554 4.89380654 6.73370772
[18871] 1.55890145 6.68838693 6.87619560 0.57500294 2.40614969 2.27157743
[18877] 5.11031116 4.79631714 3.77113206 2.90392760 1.70514219 4.99863875
[18883] 1.46635457 2.64276043 1.16854738 2.67309923 0.67458050 1.57524473
[18889] 5.34210164 4.82351442 3.08139804 0.94309972 1.14583973 3.49851748
[18895] 1.38091582 0.76957351 1.75096680 2.52223452 1.52945303 1.15858846
[18901] 3.78170194 3.23943446 3.97614716 1.96287358 4.77993534 3.31601574
[18907] 1.75428262 1.88623893 6.87043898 5.44196721 6.00629610 1.74528248
[18913] 4.86686468 0.69643349 3.52119962 5.17122421 3.19849768 4.69518121
[18919] 16.55241938 5.90373994 3.86475937 6.41350899 1.85457404 4.18591754
[18925] 3.93591904 5.77479119 6.13383375 7.10603968 11.76415507 2.66091032
[18931] 2.35895469 4.60596409 5.34541579 2.84868385 5.57964325 4.73566612
[18937] 13.41888493 0.63113454 4.91400092 2.82375228 0.31974511 5.50812421
[18943] 6.32335764 5.98914105 4.06716908 1.43283098 3.30290856 1.69416753
[18949] 2.20158690 2.66957461 3.01187502 2.64220236 1.72073992 2.74170063
[18955] 0.45660259 3.33919351 0.70254979 0.03842778 2.36844305 2.82969470
[18961] 3.43981293 0.68593529 1.45205799 0.22416059 2.05461402 2.00081836
[18967] 6.56813771 2.86751972 3.35455112 5.59228558 3.95706163 2.50910556
[18973] 7.15313239 3.88406114 1.30415554 0.48878780 7.78321396 1.00092028
[18979] 8.48791944 14.98508209 2.02054034 3.89319112 0.39959507 2.60725670
[18985] 5.47853061 1.96479431 5.07141402 0.76502492 11.46718252 3.93217344
[18991] 3.45589279 2.18339231 3.70054000 0.95388981 5.12236684 6.38746209
[18997] 5.31988550 1.31947604 1.62014909 1.25996135 2.90308163 4.05016270
[19003] 14.31707749 3.41244900 3.01262804 4.39500455 1.16645495 3.89586021
[19009] 2.17229278 1.38774375 2.16043957 0.12645743 7.66908885 3.17800349
[19015] 1.06067076 5.14133054 4.75918447 6.64161086 2.08165422 2.30256233
[19021] 6.71463232 2.98131132 7.75751394 4.07811054 6.59777788 1.45289152
[19027] 5.44310073 4.97691307 1.63935233 3.32019140 1.92887699 8.21882017
[19033] 7.31118124 2.23334789 2.20411767 3.37246924 1.62048078 4.53113607
[19039] 1.31139792 2.08530757 0.86957294 7.01591396 4.20176226 1.49255100
[19045] 2.51850871 1.77779211 1.69969101 1.90696367 2.05512485 5.05552988
[19051] 5.52286314 4.14022075 3.57280806 7.92372088 1.36246717 5.48312085
[19057] 2.19267011 7.17379309 5.52584261 2.82753171 7.92789425 3.06583455
[19063] 3.20021868 5.93054047 1.00896637 0.51863268 2.21246147 1.26627455
[19069] 1.87494914 4.46191036 3.95738367 1.28061522 5.30504401 2.60467368
[19075] 0.64075690 10.03675919 2.09939490 3.01076281 3.28135671 4.23038653
[19081] 2.46423919 4.35362820 2.76800716 4.43879660 11.45294997 2.20771671
[19087] 0.82991253 1.66874699 1.13877322 2.45492734 3.48592712 1.09743178
[19093] 7.23453882 4.66263957 1.43267533 2.58380758 0.55270392 4.84764875
[19099] 0.44735625 3.60368970 2.97653365 0.47720526 1.82390828 7.72384890
[19105] 0.08160110 1.42232924 3.34709418 1.46795805 3.89743766 4.60045739
[19111] 11.78661714 1.24058297 3.33730063 6.92158511 5.94216490 0.50642674
[19117] 6.75413269 4.76898094 6.37594909 2.48210946 7.12220023 1.94525147
[19123] 1.49311749 4.62454018 1.59597050 3.67636544 3.56241708 3.83384353
[19129] 6.73034551 0.50041000 3.82030985 4.04406762 4.43931186 4.51932802
[19135] 8.04836300 1.71943153 0.70242112 3.41334896 4.51879784 1.20364108
[19141] 4.00473911 0.50626785 2.01183767 1.10338150 6.12573811 0.75603245
[19147] 5.20261603 7.55369037 2.65497719 1.76723043 7.19600028 9.82045928
[19153] 2.79055989 2.22130305 2.72250966 2.23410618 4.23085912 4.40558771
[19159] 4.89985153 4.75513203 1.40181143 0.84511049 2.88578599 0.90025166
[19165] 1.34042756 5.59847120 0.91403071 1.42314881 9.12247887 2.94031461
[19171] 3.05785507 1.93676196 0.71352336 2.55937697 2.55410881 3.45869029
[19177] 1.74392102 2.58254443 6.60400027 2.82047603 1.30950215 9.71796897
[19183] 2.40656918 5.90113901 4.66857207 0.35092205 0.57562118 0.86901607
[19189] 4.25638217 3.45656728 4.27554417 5.92192641 1.67311846 0.76102185
[19195] 2.67676776 8.18427761 3.33405071 5.02943256 3.37350141 4.62165797
[19201] 4.02705244 3.02769943 12.78027989 2.86264507 4.53638916 7.27680062
[19207] 1.09267754 6.10694680 2.84560796 4.68869486 3.79004865 0.73016165
[19213] 4.31135026 9.78763656 2.12697801 5.22647230 0.88218708 5.01327166
[19219] 10.60845043 3.32287607 3.11158778 6.47729275 1.46210223 5.80357965
[19225] 0.68535142 2.51610613 0.93702538 4.25749464 6.24924179 0.70126802
[19231] 6.67899950 3.12684422 3.81476007 1.84496226 2.37534904 1.38908608
[19237] 1.59702871 4.08066167 4.41508250 4.98533837 1.91096461 3.24721410
[19243] 2.80272539 5.84354833 0.28032624 4.21350457 3.44682345 10.89518525
[19249] 4.79972818 0.71003636 1.31636705 1.69075537 3.47926147 1.63399168
[19255] 4.90833442 4.49793413 6.02413179 3.83658692 4.03784496 1.14238595
[19261] 1.01228448 7.45530110 5.17098184 1.89082237 5.55640936 0.44277301
[19267] 3.30153277 2.46633550 3.81988422 3.29305702 10.12649147 3.90699681
[19273] 2.76367067 2.32024442 1.95261458 6.83185397 9.53173456 1.86591405
[19279] 1.17641789 8.59129282 10.86962863 1.07515185 4.77762328 6.50603707
[19285] 1.20868345 5.86159251 3.14169444 5.80739082 3.14280360 0.89186274
[19291] 3.37440615 5.66071480 4.57876160 3.42557700 0.39581502 1.87244943
[19297] 1.64166734 3.08094561 3.28990191 1.79292203 1.58926702 0.68836259
[19303] 2.34843557 3.63210198 4.01123016 3.58751510 5.07948733 0.69996801
[19309] 6.02429304 11.43718478 3.45095520 4.81400996 4.98849350 2.00626011
[19315] 8.44007787 5.12656506 6.31125096 9.61818811 2.68798758 3.14898501
[19321] 2.77557582 12.91930430 0.50201022 3.39666731 1.69838795 4.10168722
[19327] 1.23547152 4.58257964 2.11536906 4.27351619 4.02909294 3.94539825
[19333] 4.29010761 4.88545258 7.36163753 1.46939816 0.40732835 3.24493810
[19339] 2.64879736 3.32271356 3.05443216 1.05683388 1.53124830 2.49060503
[19345] 1.32041611 10.67373661 5.19047352 5.62921399 10.95679670 10.55183250
[19351] 0.95054705 4.95998014 2.21572206 4.11024375 2.71454649 3.90532829
[19357] 2.04189338 1.42806260 1.77144368 3.05360737 2.52102998 8.86512020
[19363] 1.54435486 2.11543272 3.86000660 8.98901339 3.29890537 2.67888401
[19369] 3.90054278 2.40201767 3.24602528 2.03495128 3.91081859 5.62789902
[19375] 7.06041672 1.92496949 12.07858652 12.15964092 2.13256864 2.29741677
[19381] 3.00234199 6.47605883 0.55886975 3.55472496 2.35024815 19.36141857
[19387] 4.52972335 3.41993226 5.00878681 2.63778720 3.28819204 1.17478210
[19393] 3.40285480 8.92577137 2.43593504 3.14727790 2.56464868 9.34722762
[19399] 3.60683506 5.40851764 4.72060719 4.05608899 5.42628291 5.02322604
[19405] 5.31807352 3.31096532 0.49955653 8.91780997 6.36719831 6.16563941
[19411] 4.84593819 4.67876197 1.96945858 6.84237455 2.66676636 3.35855312
[19417] 4.45811438 2.79006556 4.04879366 2.08501022 3.35849840 3.74741891
[19423] 1.99139383 6.12565671 2.84454034 1.75738118 3.05270585 1.25424898
[19429] 3.93649572 3.36848833 3.19903505 6.88249899 3.42063775 4.68182182
[19435] 4.08995785 0.34054217 7.38581588 3.63864226 0.41788702 3.57661876
[19441] 1.39255734 5.39106005 2.47103183 1.32277116 5.79364820 1.81798108
[19447] 1.99944056 4.23172993 13.18315003 7.48014900 2.66516234 4.49223087
[19453] 9.48528036 2.13923791 1.98024250 4.84480966 1.38470048 4.35066878
[19459] 6.27212987 2.10842716 9.81451575 3.29074826 6.60073756 2.51897735
[19465] 5.94436201 4.12305480 2.67951899 2.82839522 1.75555896 0.60811501
[19471] 1.58343746 2.19365382 2.74652750 4.49583422 7.44463952 0.43406871
[19477] 1.03237200 4.19805495 9.55975545 6.45475562 2.80884360 6.06944496
[19483] 1.45212868 1.66894608 2.83354279 6.74547709 0.78544544 5.82230171
[19489] 2.31528215 7.93994007 2.40914236 2.38268510 5.89488078 3.73737410
[19495] 1.33836426 1.64679579 1.10300599 3.24273124 2.03771131 2.24125035
[19501] 9.96850018 6.46991315 1.80311424 3.60775196 2.76357927 1.27046027
[19507] 0.52208244 5.72099776 4.85141018 6.54588179 10.94175934 3.40948677
[19513] 2.14030768 0.88525205 2.17162993 11.92372196 1.85348844 0.49060150
[19519] 2.73938655 0.46666205 6.73225178 1.16204990 5.24805116 4.39253521
[19525] 1.29392654 7.01855323 5.32875451 1.03888705 1.88755762 3.10618833
[19531] 9.47231863 5.58223412 6.92736631 5.03008881 3.72425034 4.00568318
[19537] 6.09113378 2.28692376 1.67518463 5.35724809 6.71822467 4.31719781
[19543] 7.77624752 3.98192750 1.25136223 1.95059511 3.45483404 3.03765927
[19549] 2.44490628 4.97392188 1.95990151 1.41887582 8.43470388 1.02987035
[19555] 3.96932940 6.41925402 6.39108489 5.20002121 4.15657888 0.35367185
[19561] 2.89473365 3.27727649 4.55986428 1.49409098 2.91954823 1.79199624
[19567] 4.91242310 0.40152974 12.28393330 3.28313238 4.93461767 0.61314057
[19573] 7.62871244 3.69596619 3.83073966 0.69232915 0.45933274 4.04227403
[19579] 9.08868722 2.02258880 11.50905174 3.89532482 2.08295524 4.15451977
[19585] 5.27778991 3.19130058 3.99247083 5.63139566 6.01883948 4.46412033
[19591] 3.47558627 3.94625563 1.20571997 1.09190091 1.68454023 3.61869442
[19597] 0.42978338 2.01117862 5.90448765 1.78630172 8.19716653 3.65001746
[19603] 5.40146605 1.15660344 3.63574009 3.58944705 1.77692593 0.85128569
[19609] 6.16910765 2.46183891 2.20485051 5.31521980 1.84242918 6.22633422
[19615] 1.76904255 3.49238797 6.23963886 4.41621805 0.52890116 24.79416836
[19621] 3.24681369 0.75005373 5.80728434 3.44574389 3.55567038 2.99309017
[19627] 1.85933415 3.10264912 2.93422307 2.51385112 2.50696599 3.28264699
[19633] 3.07451987 9.29701585 5.98705970 3.65330606 3.31666878 4.83493484
[19639] 3.71105155 0.65972157 1.31851962 1.77614555 3.27914872 7.99670959
[19645] 4.83598579 1.74320698 1.32157516 2.41690148 10.71331756 3.86482531
[19651] 1.97841568 3.89113534 2.55502519 2.67609590 1.13788895 3.04361983
[19657] 1.40053593 3.71579485 3.76676842 2.49191199 2.96080627 4.61735107
[19663] 3.97691945 5.38798051 2.08014965 3.42624872 1.72491919 1.41825313
[19669] 1.71001560 0.71259119 7.81307583 2.91185475 2.40590036 2.80035503
[19675] 3.28353281 16.34139065 2.81447382 5.56878231 2.76778145 4.62586108
[19681] 5.35135982 1.18701708 2.90313172 2.22830513 1.95741956 7.35133267
[19687] 8.03294654 7.70730710 6.38737667 3.38609896 1.65109088 11.16873362
[19693] 2.40924800 4.38575105 1.68657192 4.99853211 1.25006622 6.06244632
[19699] 3.41077998 2.27230497 4.65379138 8.68773142 3.94570564 1.56322988
[19705] 3.51676908 2.58500447 1.19245867 7.64930307 5.59927921 0.56919371
[19711] 1.21769430 9.15057383 4.66125617 4.01800290 2.18932050 1.56639792
[19717] 1.81242470 3.41911239 2.15829963 1.37241642 4.89707111 3.49942154
[19723] 5.63212470 5.00251942 1.26252063 1.73670780 2.67174769 3.89486439
[19729] 1.93053071 8.70605821 12.56777808 1.13064340 5.01163932 0.60563797
[19735] 1.95907410 4.22439037 2.36036838 1.48323605 1.00067165 2.17894822
[19741] 8.31797675 3.32159720 1.80692853 3.94065941 5.38762464 5.57531146
[19747] 10.94709640 6.68470888 3.23734538 5.00156781 3.97406569 0.94554750
[19753] 2.56673823 11.66306133 5.29868628 4.02254663 1.51589354 7.88072163
[19759] 3.50560662 6.40692246 0.92804946 4.81462648 0.69901067 3.45678095
[19765] 4.20026900 1.86870400 4.88041341 4.85846853 3.28122414 3.94950434
[19771] 4.30682350 2.82239594 2.90861945 9.77817481 6.37945948 1.12094188
[19777] 2.60058298 3.53504567 8.83800358 2.80102803 4.85310678 7.55379331
[19783] 0.96612132 9.34642976 2.66403341 2.10219767 2.70175164 3.08909568
[19789] 8.60516759 7.73437716 2.17312034 0.52989527 1.43925669 0.50037233
[19795] 3.95347190 3.25355025 0.93971069 3.04086123 7.99913479 3.59347149
[19801] 8.69326133 1.65105347 1.26292908 1.31981969 1.46239408 1.58699658
[19807] 15.48994492 4.52657858 2.97639988 3.13172221 4.54755931 1.94223449
[19813] 4.71464210 2.05200367 3.72464558 2.71639987 1.60457823 3.16037411
[19819] 10.65620185 6.20624351 3.98948914 5.87576594 5.76619339 5.92047488
[19825] 0.76405717 3.39474452 5.16517022 9.44952318 2.68982101 0.80325444
[19831] 3.87385882 3.02387155 1.66704946 2.55266706 1.56886446 6.66924904
[19837] 6.52397071 5.75225718 4.08162895 5.62856995 2.86467185 0.67468322
[19843] 2.51190625 1.35388850 2.39771550 3.37171033 1.80207292 3.47389866
[19849] 2.98548924 2.87143117 3.68450295 6.07412209 3.44258854 2.66245127
[19855] 5.72831005 3.24871161 0.60105137 4.70624594 8.63555877 7.42586239
[19861] 5.14308096 5.83508160 2.43346999 1.27294017 5.50663585 14.70334435
[19867] 2.41006351 0.35354856 7.89570483 5.71262258 6.04998850 10.19284227
[19873] 3.38901495 4.47416064 3.84788088 2.50946469 7.27549717 3.22657724
[19879] 4.85982586 2.65963558 1.79778631 3.04899874 6.84960673 2.74667030
[19885] 2.96969443 0.77958581 3.97300774 5.33115336 3.75371068 3.66127370
[19891] 3.13022816 2.11340069 0.75179919 1.68966603 0.66157723 0.73155597
[19897] 4.93234072 3.80004988 1.27085322 5.90895015 6.02309605 8.27454347
[19903] 3.11379147 4.47260850 3.69552206 1.07708303 5.59845354 3.06455441
[19909] 1.46549938 0.76429399 12.15443097 1.24403667 11.90110903 5.02282921
[19915] 1.47741805 5.61561922 8.18008844 4.44446729 0.18255250 3.70223393
[19921] 5.78931059 4.93135585 3.97220344 2.68759353 5.22842502 2.00835672
[19927] 5.19477026 3.09802834 8.00875847 10.80216343 1.53557329 2.36464307
[19933] 3.44098061 0.40114925 3.79421863 6.45800755 5.18336486 5.46547346
[19939] 6.62811129 2.08715424 3.14423580 4.34554607 4.46494838 4.13833826
[19945] 4.07672584 0.87674656 4.57141299 1.54967831 4.15671754 8.72206194
[19951] 5.80125695 2.28343438 2.32025522 6.37575553 4.29608501 3.00555498
[19957] 4.86561416 2.32941839 2.42123598 1.69777866 2.43865425 2.64040192
[19963] 3.03603875 2.85798070 1.05326987 3.03762883 2.15942524 5.13516503
[19969] 5.15434027 9.33485635 0.84542166 15.36636660 0.45213214 2.48428620
[19975] 2.86968218 1.55979592 4.04845192 0.72150716 2.21919422 3.74584890
[19981] 4.53023010 2.13048343 6.51941355 6.64496766 0.57335160 2.33790881
[19987] 3.30632711 3.53674602 7.19190015 4.19250119 4.00142865 5.61564921
[19993] 4.06950569 12.17516670 6.58002060 2.36926795 5.41362713 8.66143166
[19999] 4.24547409 1.71522462 4.41567612 5.20660710 2.58382547 0.48352131
[20005] 3.01653135 3.46841172 1.05211479 3.18764417 2.70617250 4.06441077
[20011] 0.91406674 4.83034476 3.81639765 4.61623135 2.88866679 4.46091873
[20017] 2.53017627 2.68548979 10.75325890 1.33665619 0.74477814 4.97810226
[20023] 1.10293202 1.90633220 2.17018422 2.27341246 5.74507743 0.59260134
[20029] 1.45292094 3.60560751 4.97888005 4.44450008 1.17790307 1.78628770
[20035] 9.55465169 8.99035095 3.19330920 7.94986328 6.93434601 5.22239649
[20041] 8.38176530 0.43909285 2.75946715 1.78726330 2.06816648 7.03467531
[20047] 2.82742936 4.09271505 2.70438298 2.06718558 6.40591607 0.38815786
[20053] 3.18618801 2.86267182 1.99847314 2.42375985 2.48107714 0.98689133
[20059] 3.24020242 4.64119184 0.68708198 7.53323106 2.69526877 4.77547712
[20065] 1.44271585 6.23664282 7.15578297 7.87653807 8.94710622 2.71402203
[20071] 0.48967254 4.43438177 4.71063377 2.78900250 2.85251210 6.12257228
[20077] 1.53998210 1.08952587 5.22609330 1.17097070 8.53505392 6.81700789
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[74041] 3.10708704 3.47272400 6.57682421 0.39250300 5.54825984 1.41883789
[74047] 1.65531420 1.09108698 2.57305671 5.53943371 9.01751418 3.86764776
[74053] 0.81599258 1.09408103 5.00325914 3.79704505 1.16339010 5.42272510
[74059] 1.19657609 17.45612912 1.91794361 6.36982135 7.02059490 5.06675188
[74065] 4.60762746 2.43666058 8.36704620 6.46077600 7.49313860 3.15642060
[74071] 5.24607283 0.79939204 5.62321440 5.7498
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