draw.rayleigh: Generates variates from Rayleigh distribution
In UnivRNG: Univariate Pseudo-Random Number Generation

Description Usage Arguments Value Examples

This function implements pseudo-random number generation for a Rayleigh distribution with pdf

f(x|σ)=\frac{x}{σ^2}e^{-x^2/2σ^2}

for x ≥q 0 and σ > 0 where σ is the scale parameter.

1	draw.rayleigh(nrep,sigma)

`nrep`	Number of data points to generate.
`sigma`	Scale parameter of the desired Rayleigh 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.

1
2
3

draw.rayleigh(nrep=100000,sigma=0.5)

draw.rayleigh(nrep=100000,sigma=3)

$y
     [1] 0.4414291197 0.0835187428 1.3730794840 0.5371877751 0.3151579024
     [6] 0.6308821590 0.3740704818 0.9279603725 0.4113375472 0.2474861493
    [11] 0.4119543166 0.1750805805 0.5555838269 0.1108664613 0.4616101206
    [16] 0.2563522061 0.4539649469 0.4066381311 0.8865158465 0.7166417018
    [21] 0.7739212651 0.4278965596 0.8170682738 0.5304485111 0.2400422372
    [26] 1.4058928315 0.9932751116 0.3755252720 1.2351999701 1.2648990549
    [31] 0.5742350764 1.3385464408 0.2512168399 0.6871935683 0.2266084538
    [36] 1.1189133751 1.1385018078 1.0357386751 0.5345399562 0.5271092624
    [41] 0.3348527849 0.9171715941 0.2886666813 0.2861449904 0.8463814501
    [46] 1.3747612407 0.8046148700 0.5877042188 0.6227661324 0.8977361702
    [51] 0.6401485601 0.1819317972 1.1576174262 0.1049507082 0.3948258580
    [56] 0.6372568546 1.1457716847 0.3300994345 0.2061669604 0.2412111653
    [61] 0.9213321028 0.4642118454 1.1688521324 0.4282711723 1.5474703439
    [66] 0.7875575130 0.8110595707 0.3593602219 0.7586632438 0.2408693900
    [71] 0.3469354631 0.4729492965 0.6065170887 0.8736442879 0.2281717279
    [76] 0.6825453152 0.7953949417 0.3629304423 1.8047203718 0.7954798191
    [81] 0.8198998859 0.9660207782 0.7632583846 0.7099613864 0.3830654058
    [86] 0.6866800828 0.4072772165 0.5238747161 0.5273236129 0.2243090538
    [91] 0.7584887726 0.5935436135 0.8305455967 0.7414071567 0.3042264029
    [96] 0.2277504500 0.8910120282 0.9443845531 1.3718655543 0.9478482796
   [101] 1.2038875906 0.9514612140 0.6839752155 1.1843022126 0.6880327980
   [106] 0.6102421125 0.3844502642 0.3285526860 0.5834283649 0.5653428180
   [111] 0.1379507198 0.2624140084 0.2326996495 0.9280552993 0.6533506870
   [116] 0.4349585903 0.9810586718 0.3932284559 0.4637554880 1.1549127687
   [121] 1.0806222132 1.2836628243 0.3789215209 0.6331535387 0.9406192237
   [126] 0.2486415100 0.4220797830 1.0381935415 0.7266111295 0.7355145934
   [131] 0.4804256693 0.3581786663 0.4596939667 0.4451556290 0.6949756421
   [136] 0.1126996270 0.2378019370 0.7249648879 0.4087304154 0.1385267614
   [141] 0.4702471156 0.4830463915 0.7625117023 0.4204057551 0.4590869275
   [146] 0.2964544374 0.6413828277 0.7706852917 0.7535536237 0.5268672966
   [151] 0.5604002916 0.4370665596 0.1587801694 0.1829225642 0.5428199416
   [156] 0.7794065575 0.3893965686 1.2134551186 0.1619440094 0.7985479145
   [161] 0.6469049286 0.5387320318 0.2534658001 0.8046286693 0.5070221757
   [166] 1.3461074693 0.1983628095 0.0540211737 0.4525757595 0.7086000234
   [171] 1.5493829951 0.6277111381 0.5944615998 1.2965351924 0.5931600430
   [176] 0.8447095208 0.8690497858 0.3688920029 0.4897075457 0.3665472962
   [181] 0.7549468056 0.4225225225 1.4877669396 0.7470344436 0.4271777447
   [186] 0.8349789217 0.9888353026 1.1344266377 0.3786835793 0.5138173845
   [191] 0.6791644973 0.9691947836 0.4217382078 0.7129252335 0.4107753036
   [196] 0.6440560961 0.6650788556 0.2434273815 0.5432663404 0.8729269273
   [201] 0.1947718172 1.1153188018 0.3218273877 1.3949764265 0.7822747090
   [206] 0.9743737137 0.2054379679 0.5042475168 0.5226605368 0.5079957833
   [211] 0.9345075920 0.3524002312 0.0442085369 0.7059503123 0.8617033463
   [216] 1.0492089871 0.8467937634 0.4185628805 0.8895837903 0.9242060614
   [221] 0.7813712302 0.3352905278 0.7698508436 0.4387789195 0.5295111976
   [226] 0.4423508134 0.3720769830 0.6809246523 0.6435163903 0.1551717715
   [231] 0.3315957715 0.2730233846 1.2008102881 0.2986861092 0.6118922712
   [236] 0.3650399146 0.4588359757 0.2422467984 0.2894500545 0.0184905673
   [241] 0.9765786638 0.6707479188 0.4287040730 0.7539977340 0.6700715013
   [246] 0.3957758956 0.9273921406 0.5856099554 0.8459923305 0.5958346983
   [251] 0.6889740043 0.6123051461 2.0809366841 1.1211632298 0.9657544883
   [256] 0.7427548638 0.8202872733 0.7766217364 0.3707514656 0.8299674214
   [261] 0.2774927634 0.6824336762 0.5965741821 0.8241681628 0.7335934743
   [266] 0.5228432082 0.7232257716 0.7989696560 1.6057535008 1.2591900340
   [271] 0.7558129409 0.7007629636 0.4022072329 0.1619500543 0.2854046013
   [276] 1.1627896690 0.8735748550 0.6934299336 0.4825507438 0.3857793897
   [281] 0.7728421103 0.2417778870 0.7330340505 0.6148922643 0.3537301821
   [286] 0.4234656988 1.3377999049 0.4006963798 1.3947603040 0.6892230791
   [291] 0.2266367828 0.7101399463 0.5271607583 0.4545171075 0.2588212460
   [296] 0.4736010648 0.9930643664 0.5031920773 0.8369480449 0.7594261239
   [301] 0.5591765723 0.6912047470 0.9412488973 0.9001198879 0.6614523573
   [306] 0.3922592640 0.7384789987 0.5614108567 0.8350703071 0.6703706378
   [311] 0.3904545426 0.4435700698 0.4109067679 0.9695930370 0.2441183215
   [316] 0.5503907057 1.3245591598 0.6087865713 0.5708659799 1.1073706323
   [321] 0.4982104015 0.2654367068 0.3943577173 0.6215105806 0.7475774754
   [326] 0.7624808355 0.2768843548 0.8633170096 0.8481487522 0.5493941239
   [331] 1.1053804774 0.4915616365 1.4994500248 0.9740155974 0.5576974527
   [336] 0.1109164210 0.8698342159 0.9205414473 0.4193717016 0.3419142923
   [341] 0.4348374657 0.5708741539 0.7576726651 0.9714581512 0.9642021945
   [346] 0.3940163512 0.6810272383 0.3717976270 0.4459566908 1.4461947773
   [351] 0.4723574873 0.3436676879 0.8413381646 0.2688734884 0.6681522471
   [356] 0.4661258520 1.1737658442 0.5815614573 0.3959835615 0.1303765830
   [361] 0.7509723882 0.5050144754 0.5402976377 0.6032682123 1.3765921418
   [366] 0.3857531339 0.8944540346 0.8497679571 0.2740465520 0.3125655921
   [371] 0.6430659158 0.9425683749 0.0491224380 0.6726128297 0.2934649915
   [376] 0.2065411312 0.3611939202 1.2725472619 0.7429289703 0.8645060955
   [381] 1.0501517210 0.6729598359 1.0026690227 1.3812417174 0.8242284789
   [386] 0.2897797220 0.8352221006 0.5167108253 0.4101937508 0.6084244718
   [391] 0.2994694297 0.5492466478 0.6882221235 0.5843376348 0.8193485525
   [396] 0.7376431500 0.4789912616 0.4622790127 0.7335734880 0.9551785898
   [401] 0.6800587572 0.6303875377 0.1915684964 0.4063030439 0.5721923789
   [406] 0.2888444564 0.6814068518 0.6493694044 0.4688374809 0.2029912138
   [411] 0.6826529116 0.4375317810 1.0010754476 0.2718246751 0.4020637330
   [416] 0.9319214329 0.7817132372 1.0805648012 0.2227718524 0.5237809945
   [421] 0.6663736903 0.6174628713 0.6031173498 1.8479072760 0.7914702032
   [426] 0.9847429791 0.3081663355 0.6617750613 0.7223438791 0.3282797378
   [431] 1.5527178171 0.3198041481 0.1205734666 0.3904931375 0.8752890512
   [436] 0.4693579629 0.6938807324 0.3864462700 0.6099741562 0.1840177562
   [441] 0.3144237385 0.9816785896 0.7785146842 1.4788365432 0.1695973108
   [446] 0.2270923663 0.6651408870 0.5054432978 0.0760429846 0.1827501161
   [451] 0.7082781457 0.6427539248 0.1814977769 0.5301913582 0.4608439396
   [456] 0.6427396156 0.6790097372 0.8031602953 0.3424570261 0.6343101137
   [461] 0.7818365791 0.1849979767 0.8160332687 0.5335609741 0.0760299053
   [466] 0.6949976161 1.1175444247 0.4358857969 0.5716985063 0.8246298264
   [471] 1.0977839434 0.6882361511 0.4108521570 0.2908356652 0.3128385620
   [476] 0.8731943188 0.3352364583 0.8800967144 0.3066498792 0.2750590695
   [481] 1.1487481924 0.4832114388 0.7815701105 0.5288426800 0.7618869997
   [486] 0.6558804691 0.7722924496 0.2710449711 1.3765350321 1.3961853156
   [491] 0.5347994673 0.9353182299 0.5884859472 0.2644583575 0.9119254498
   [496] 0.7838508294 0.6301955787 0.4028736789 0.9626884762 0.2254308254
   [501] 0.1575345266 0.9933266079 0.3422354003 0.4299455924 1.2315227674
   [506] 0.2708618400 0.5641848623 0.4442427669 1.0025574614 0.4235652083
   [511] 0.2621850973 0.5304902600 0.8463740544 0.6692067232 0.8521365213
   [516] 0.4445346531 0.3798619258 0.7417276659 0.8008471525 0.3698281695
   [521] 0.8561934034 1.2407286882 0.4492775419 0.7347951289 0.8153311213
   [526] 0.7389049904 1.3447216052 0.7739072856 0.3903456692 0.9927850611
   [531] 0.6893153159 0.4643681720 0.9680138869 0.6736962130 1.5777148469
   [536] 0.1965627087 0.4449444814 0.1965869284 0.8794496235 0.7854797237
   [541] 0.4466361265 0.7121989372 1.3150318697 0.8294042390 1.5341381315
   [546] 0.0799621707 1.1593904189 0.1788293969 0.8376142138 0.3837043432
   [551] 0.4654399906 0.7478339884 0.7116571000 0.6520266142 0.9961341075
   [556] 0.2865700219 0.2668825611 1.0333965861 0.5321512402 0.8075752475
   [561] 0.3002100614 0.2905724521 0.2903319401 0.6954973127 0.9914329664
   [566] 0.4429128739 0.4388893219 0.4909851825 0.3120852319 0.6359309980
   [571] 0.6592844579 0.7583473010 0.6193527944 0.1831269124 0.9208499467
   [576] 0.5975376985 0.4540365339 0.6945312769 0.3037915173 0.3477489216
   [581] 1.1209551652 0.7206807354 0.1190733047 0.7493054002 0.1188366885
   [586] 0.8559797603 0.6182052491 0.6248694460 0.4471674896 0.5336419738
   [591] 0.1632833852 0.7184208025 0.1160558442 0.3210131955 0.2957913928
   [596] 0.6714060887 1.1190576588 0.8787281747 1.0292174871 1.0366581749
   [601] 0.4761653379 0.7797565738 0.3316141914 0.5707160927 0.6212086472
   [606] 0.4668670501 0.8438170039 0.4542110114 0.7548980488 0.3729313964
   [611] 0.7001696053 0.5902398859 0.6088625606 0.5533263738 1.0047421628
   [616] 0.2491108457 0.6176181069 0.7451105394 0.6968285214 0.5318778671
   [621] 0.5466706165 0.2595798083 0.4304688256 0.3669850075 0.2505434319
   [626] 0.4041988572 0.9042579207 0.9325360834 0.1946521419 1.0533173674
   [631] 0.9666705671 0.3690832385 0.9451677996 0.5915045503 0.1606758371
   [636] 0.1895871965 0.5714058083 0.4171744220 0.2350375978 0.3549077162
   [641] 0.1587824059 0.5970177999 0.7320126547 1.0351393036 0.4446019718
   [646] 0.6645802451 0.4379378669 0.2385316927 0.7635780576 0.4850581879
   [651] 0.6429505282 0.6884703682 0.4997348292 0.7561169539 1.3454187365
   [656] 0.8658394723 0.4616522531 0.5187661425 0.8205144503 0.3008512697
   [661] 0.2388990266 0.7432246384 0.3580477518 0.1445093443 0.5977376467
   [666] 0.6244411036 0.5199242729 0.1306915658 1.0170222747 0.6879418345
   [671] 0.7346152272 0.3664430278 0.4309785348 1.4499100239 0.8963166958
   [676] 0.2162078401 0.5852666313 0.3356264718 0.8163165253 1.5268307748
   [681] 0.0227612338 1.1348331983 0.3603011127 0.4605139505 0.7380094982
   [686] 0.1868662344 0.9210265759 0.7241095516 0.0909971447 0.2095569644
   [691] 0.2477934708 0.4900240223 0.3996645507 0.7190423782 0.7653726388
   [696] 1.6153526987 1.2640952428 0.2909419913 0.9835191076 1.0623003301
   [701] 0.8528750370 1.2679760415 0.7550178042 0.4122848219 0.4694613990
   [706] 1.3621183830 0.6648400916 0.3171453229 0.5169936151 0.2504953622
   [711] 0.7338987902 0.7654024006 0.8175542077 0.5761054849 0.4841660869
   [716] 0.6732555126 1.1925431888 0.7150221725 0.1973822990 1.2980957647
   [721] 0.2756571921 0.3970511328 0.9231982495 0.7632139688 0.4735245282
   [726] 0.5891590573 0.7543786147 0.7384344657 0.2028948438 0.2544568697
   [731] 0.6445632028 0.6676811288 0.8172914420 1.1886338385 0.9852697120
   [736] 0.6356372505 0.2898933927 0.5263351592 0.6317167129 0.5123428024
   [741] 1.4065506822 0.3344277305 0.5033893945 0.2616125061 1.0192924282
   [746] 0.6096751827 0.4310813545 0.8921557775 1.0374505846 0.7189048253
   [751] 0.8140073482 1.3823129133 0.2558838731 0.8709232575 0.5825887167
   [756] 0.5814491038 0.7216257021 0.6400540293 0.7024516591 0.5837860624
   [761] 0.2907437407 0.6038887203 0.1722688628 0.5693607152 0.0680273983
   [766] 0.3326104197 0.5076021794 1.1734605771 0.5794255446 0.7296773749
   [771] 0.7308163650 0.6919135927 0.5222995591 0.5724351651 0.1704417749
   [776] 0.7392993161 0.4225909326 1.0076718643 0.4412080158 0.5345198045
   [781] 0.4283105671 0.5019853557 0.3308681797 0.5089339079 0.6676969630
   [786] 0.2639069125 1.7438787651 0.2783512424 0.6243889703 0.9087894375
   [791] 0.2062093164 0.3837516160 0.9173433156 0.6336864426 1.0218789180
   [796] 0.7266138936 0.6748666902 0.8140400022 0.4157939477 0.3384872416
   [801] 0.9150368555 1.6595251872 1.2307889384 0.2034703727 0.6768051099
   [806] 0.3159142549 0.7133658486 0.5594316952 0.6218529859 0.0226838632
   [811] 0.4253159834 0.6263200494 0.3232991309 0.3102421508 0.3985883079
   [816] 0.8180243614 0.5255458167 0.2715791600 0.5115934428 0.7823713685
   [821] 0.5575284062 0.8828741381 0.5078207870 1.0178541523 0.3958320775
   [826] 0.3881305143 1.2061206527 1.4068545021 0.8059410128 1.0933930441
   [831] 0.7546834768 0.3114215195 0.5603659000 0.5391534427 0.1371073888
   [836] 0.4854523516 0.2222840090 0.9144662839 0.2749188274 0.1157453661
   [841] 0.7555814655 0.3748268526 1.0608871134 0.5466292486 0.9528183801
   [846] 0.2404747180 0.8118960129 0.4245710667 0.3842544666 0.1745189976
   [851] 1.0368783283 0.3661680496 0.3047939927 0.6411187437 0.4941935181
   [856] 0.1474572067 1.0399210174 0.7285295097 0.5617708477 0.7914331205
   [861] 0.8275194565 0.6115974235 0.3430386897 1.1990300539 0.6020236223
   [866] 0.9336633246 0.4356330722 1.1111502691 0.6737660520 0.2860080730
   [871] 1.7290028306 0.7964739773 0.3201633684 0.2972895489 0.6360175396
   [876] 0.8665308065 0.9654617544 1.0386602433 0.3246036870 0.6168822739
   [881] 1.3939446476 0.1607167902 0.3984750030 0.9857837635 0.5555225045
   [886] 0.4987347496 1.0741127573 0.7763456025 0.5617960252 0.7224266800
   [891] 0.5252515091 0.3599205695 1.3904889601 0.7189207844 0.4056883962
   [896] 0.2415129840 0.7921961383 0.7200739353 0.2408782762 0.1553724713
   [901] 0.4721659159 0.6956289820 0.1592521105 0.7140738284 0.6749119957
   [906] 0.8478993685 0.6692149168 1.2416117334 0.8856537704 0.3427532628
   [911] 0.6171195570 1.0959106802 0.3332149020 0.5292160907 0.5826103191
   [916] 0.4856644490 0.8753842176 0.3473463395 0.4649834126 0.5740128919
   [921] 0.5758929160 0.3420149786 0.7840576966 0.3670627347 0.6216706938
   [926] 0.8171722095 0.5851141886 0.6599908483 0.3108396263 0.6517130972
   [931] 0.3554504732 0.8930290815 0.5135566655 0.6611787829 0.6918267288
   [936] 0.0702633054 1.3300387284 0.6130477857 1.6957030881 0.9711026572
   [941] 0.1769521269 0.2932796292 0.7785835014 0.6134437605 1.3820389185
   [946] 0.8350012274 0.7298856442 1.0556071016 0.5472496171 0.9934449800
   [951] 0.7908112707 1.1422511280 0.3272138636 1.0901461659 0.5172258317
   [956] 0.5546061013 0.6957170054 0.8023632136 0.4595889782 0.4499959027
   [961] 0.7210898972 0.4890364537 0.3094268338 1.1991325121 0.2251899274
   [966] 1.3208181672 0.3531815227 0.6517657063 0.7020444214 0.6172764829
   [971] 0.3194721499 0.8430643800 0.3933973054 0.7651970419 0.3451892592
   [976] 0.4112403087 0.5827270858 1.2852931289 1.3528449775 0.8230450213
   [981] 0.1526859947 0.8344731741 0.3665380060 0.6826429569 0.2998794605
   [986] 0.8184958473 0.9278099028 0.4439162754 0.8469897238 0.8406083789
   [991] 0.9414147581 0.4181602382 0.7990688560 0.6075522178 0.4738708614
   [996] 0.1757916887 0.9985425485 0.7794575007 0.5019891872 0.3002601068
  [1001] 1.0805588150 0.7529142501 0.6600311179 0.3646208829 0.9294133998
  [1006] 0.3456074607 0.3938290975 1.1891983507 1.0436938447 0.9774814182
  [1011] 0.9354756298 0.6857368246 0.4237352818 0.2335783720 1.4473033731
  [1016] 0.7817656783 0.7770485924 0.9350781100 0.2276884104 0.7162474678
  [1021] 0.7535331573 0.6021691302 0.6783685163 1.0117383543 0.1265362197
  [1026] 0.3682484730 0.5492309330 0.6993106395 0.4899189145 0.1579289432
  [1031] 0.9284095439 0.1498642076 1.1433222423 0.3624177671 0.1417496294
  [1036] 1.0644148508 1.1840334054 0.2778449735 0.6963920564 0.5928910753
  [1041] 0.8672576769 0.4317481316 1.4634515366 0.7264774629 0.0493888452
  [1046] 0.8708580260 0.7982507594 0.4118788140 0.7915215144 0.3048044646
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  [1056] 0.5893157653 1.0399590269 1.2222555138 0.8513859233 0.8730968146
  [1061] 0.8502742599 0.5083060488 0.2163030728 0.2582979107 0.4624035066
  [1066] 0.3574462881 0.5309798975 1.0242637839 0.3950007876 0.5907173673
  [1071] 0.3989471636 0.5119086358 0.2721702886 0.6054133891 0.7663404451
  [1076] 0.7998277350 0.4620703532 0.8259210364 1.5484840913 0.4003409875
  [1081] 0.5408466791 0.6906661010 0.5462110302 0.2156383276 0.3888927709
  [1086] 0.3884177853 0.3657449253 0.6674650431 0.1826346410 0.4263257847
  [1091] 1.1766670242 0.1480689189 0.6251232559 0.4043841684 1.2832228483
  [1096] 0.4882106341 0.1451913282 0.6009042775 0.7073751117 0.1790253135
  [1101] 0.5995743890 0.5885113358 0.6933831098 1.3767802694 0.9137749217
  [1106] 0.5140483465 0.2560778118 0.2293533850 0.5151132932 1.0761328948
  [1111] 0.2926324760 0.2268028769 1.0351755890 0.5590546564 0.8861587144
  [1116] 0.1898025538 0.5943955906 0.2144621508 0.2625520398 0.6914600798
  [1121] 0.3730676700 0.7522299816 0.9374933216 0.3041725512 0.7423879185
  [1126] 0.3601937206 0.4551408509 0.3360346441 2.2153729717 1.3033837014
  [1131] 0.1047732413 0.6311267597 0.3449080560 0.5723078627 0.7974988632
  [1136] 0.6480003062 0.6658552121 0.3726141825 0.6202071543 0.8591396073
  [1141] 1.1219497632 0.4681700029 0.9700933917 0.9551306847 0.3242280574
  [1146] 0.4834665981 0.4514634845 0.5231737371 0.3905956096 0.7576307383
  [1151] 0.6799704654 0.5132368493 1.3000143738 0.2853963991 0.6437415800
  [1156] 0.7414573331 0.3397346953 0.3143072185 0.6401587508 0.7453084379
  [1161] 0.3311503171 0.2799173402 0.4793561854 0.7899246102 0.2433841727
  [1166] 0.4976836273 0.5195122600 0.4031797946 1.8628632033 0.6292253067
  [1171] 0.5052957479 0.8986819614 0.7953342588 0.2576120132 0.3957736818
  [1176] 0.5013482051 0.7855366186 0.6536712923 0.9571507363 1.3922056242
  [1181] 0.4510598253 0.7122540134 1.2635849203 1.1054071498 0.8157717675
  [1186] 0.2984667902 0.3981837508 0.3629081768 0.2693255247 1.0839775392
  [1191] 0.4013403025 0.0728879172 0.6680971802 0.7587014115 0.1558080263
  [1196] 0.3703535041 0.5668737581 0.7664290649 0.4948070242 0.6285111109
  [1201] 0.6956341371 0.5011600901 0.3344483904 0.6003148088 0.4458163611
  [1206] 0.5336954619 0.1950591886 0.5638640440 1.0118514163 0.3578008316
  [1211] 0.7413403462 0.4347249385 0.3600119257 0.8917126919 0.2085559050
  [1216] 0.6094647966 1.4545288207 0.8700405558 0.3421512799 0.1271147884
  [1221] 0.5392442259 1.4944015615 0.2197415277 0.5983230980 0.8805557619
  [1226] 0.7709769217 1.0835577488 0.8895957464 0.2154944505 0.8748466180
  [1231] 0.1502522226 0.7805389523 0.3945147208 1.1518658111 0.7864389103
  [1236] 0.2322784977 0.2714001947 0.8424558565 0.4272153148 0.6311744744
  [1241] 0.6834958247 0.1489650712 0.1295455065 1.0615411740 0.2943935240
  [1246] 0.9373625935 0.6032506493 0.6210901163 0.8872102878 0.1602068033
  [1251] 0.6190912938 0.2498699931 0.6134838095 0.7695874573 0.4313160361
  [1256] 0.0531634645 0.8096933228 0.2144836417 0.1668162960 0.2884040784
  [1261] 0.0830077439 0.6050136239 0.3426231504 0.8047797631 0.4931741045
  [1266] 0.9380536767 0.6254900449 0.6224029849 0.2501272145 1.2275854340
  [1271] 1.3885959337 1.1651695259 0.3707090955 0.2594053580 0.3334257432
  [1276] 0.2331732735 1.2056795986 0.7038152649 0.2359858741 0.8622476082
  [1281] 0.5106950173 0.5264939993 0.6241455722 0.6109106921 1.2369192957
  [1286] 0.7276213235 0.4782986099 0.4765990073 0.2147300186 0.3161518212
  [1291] 0.7218897911 0.3754176270 0.4945214101 1.2862363328 0.1530800928
  [1296] 0.2244649217 0.6825358352 0.7682267628 0.7124084276 0.1988138518
  [1301] 1.1316866155 0.5365993095 0.2003396141 0.5569737151 0.2745791343
  [1306] 0.4288861420 1.0080312379 0.0747202574 0.4793402724 0.1454087030
  [1311] 0.3146176288 0.2437295361 0.6739789786 0.1542251704 0.4077857513
  [1316] 0.2671662434 0.4215410812 0.5378232124 0.9580818808 0.1978815758
  [1321] 0.5465433315 0.9093875596 0.6456426460 1.2249748551 0.3356699427
  [1326] 0.5521237186 0.5860982670 0.7748405570 1.3261739540 0.4823984000
  [1331] 0.6265760593 1.1666435692 0.4446558933 0.6930898489 0.1819493731
  [1336] 0.2381397761 0.3342437084 0.4575393692 0.5928820258 1.0372402352
  [1341] 0.6764592908 1.7815042433 0.1498623344 0.2329257257 0.4657906486
  [1346] 1.0345455192 0.4189609754 0.5314575460 0.4437310978 0.3964317873
  [1351] 0.4935068629 0.8439557551 0.9578427403 0.6358709633 0.8325353700
  [1356] 1.0786293556 0.6931590853 0.3753541398 0.6222115285 0.3997384330
  [1361] 1.0166227980 0.6399139884 1.2459009664 0.4330049174 0.5805744689
  [1366] 0.5679696978 1.3858415060 0.6327029376 1.1555699632 0.5235127184
  [1371] 1.0442495357 0.5597948517 0.8777587588 1.1508270051 0.3937935169
  [1376] 0.3657484066 0.1301733851 0.6312364522 0.5915811331 0.5331116913
  [1381] 0.4034305574 0.0362374963 0.5808695496 0.3192653045 0.3212133882
  [1386] 0.4212868519 1.1930692090 0.5181866764 0.2778874619 1.0085236707
  [1391] 0.2628271379 0.1797232579 0.9089731030 0.6577704176 0.7476087176
  [1396] 0.1112919617 0.2709078592 0.4692340979 0.3963245452 0.6792590183
  [1401] 0.4311291131 0.9111179455 1.0627098120 0.2553885253 0.3765986985
  [1406] 0.4077663917 0.9068478869 0.6996343842 0.4082190631 0.1421070156
  [1411] 1.1200422596 0.4993302170 0.3490904167 0.6377799129 0.4836314046
  [1416] 0.2843850366 0.1573751608 0.8260799447 0.6652721562 0.3919025477
  [1421] 0.8899098096 1.2301268807 0.4900981828 0.9263230483 0.4503830745
  [1426] 0.5256166855 1.1777437119 0.2209573937 0.5836936657 0.4187016903
  [1431] 0.7924574601 0.1171755619 0.3984382712 0.7623837543 0.6834651190
  [1436] 1.0036928524 0.5390017003 0.1566599706 0.3216927658 0.6246969738
  [1441] 0.5802572900 0.3603761758 0.1759831191 0.2738003183 0.2270600710
  [1446] 1.4155991892 0.6637696594 0.3837550765 0.8012592584 0.7443875072
  [1451] 0.5048539540 0.5524176658 0.3217311648 0.5563168060 1.0096498786
  [1456] 0.9610821775 0.2818929999 0.5595103438 0.0990730219 0.9214240802
  [1461] 0.4639633937 0.4340419633 0.9890001503 0.7996398012 0.1738411376
  [1466] 0.5009057471 0.4897484468 1.0198638728 0.7522267979 0.5473446301
  [1471] 0.7555355511 0.5704938742 0.7809124472 0.6380821801 0.3515644627
  [1476] 0.5842485179 1.1542074228 0.6290022194 0.1882089559 0.5418562945
  [1481] 0.3895690206 0.6946698360 0.6118387182 0.1617203146 0.2920328074
  [1486] 0.4377310624 0.8039011409 1.9018758725 1.2982817963 0.3085446898
  [1491] 0.4456638340 0.3309937783 0.3321846463 0.3871607813 0.4615837539
  [1496] 0.5086776734 0.8875157917 0.7179931031 0.3285951855 0.4728534259
  [1501] 0.0545702428 1.0781020340 0.5609151588 0.2531329761 0.5406210531
  [1506] 0.1231215276 0.5665593159 0.4840007940 0.8288684898 0.8078440978
  [1511] 0.9114132884 0.3914575850 0.8379170202 0.7909602572 0.4491350135
  [1516] 0.3626205664 0.1236054746 0.6320358625 0.3110351810 0.1048134684
  [1521] 0.2991946008 0.4185041143 0.6311018731 0.8301300955 0.4812023658
  [1526] 0.1959051800 0.8811966786 0.5759275360 0.4859887757 0.3370250949
  [1531] 0.9274294555 0.2817442835 0.8353938747 1.3769788796 0.9076776263
  [1536] 0.1563385579 1.2829053513 0.3532851480 0.6325542720 0.7291831473
  [1541] 0.4399375066 0.5873105192 0.6102385280 0.5809013795 0.5059557242
  [1546] 0.3261586764 0.4399655633 0.7024784002 0.7498815710 0.3744317256
  [1551] 1.5831482575 0.6381816191 0.3967400686 0.4193259040 0.9116655485
  [1556] 0.9632060039 0.2691719959 0.6296359607 0.8235704469 0.0951124924
  [1561] 0.2823887723 0.8741698993 0.3948234139 0.2675386467 0.4522491335
  [1566] 0.7580873071 0.7640611717 0.9528730991 0.8294823837 1.2630427518
  [1571] 0.6995312133 0.5336978166 0.5114559750 0.4862529407 0.4679255769
  [1576] 0.8531152616 0.2954971051 0.1680988871 0.8525199732 1.1287257390
  [1581] 0.3086357235 0.4658591436 0.2124724517 0.7190967584 0.0781345559
  [1586] 0.3951443227 0.5946421756 0.8915152281 0.2569026957 0.9061333698
  [1591] 0.5092994973 0.5235440433 0.4323836232 1.2817455259 0.5351728918
  [1596] 0.3735132501 1.1218346733 0.6275449935 0.0710707350 0.3429433348
  [1601] 0.5012934446 0.5148853985 0.4307845176 0.7243333988 0.5099631409
  [1606] 0.2245677649 0.4505926004 0.4699243043 0.9529007563 0.7611416588
  [1611] 0.3937893230 0.7073317713 1.5620310312 0.7109777994 0.5274409772
  [1616] 0.7883333397 0.4054535989 0.4942436848 0.8059740997 0.5491715253
  [1621] 0.3239480800 0.8771234557 0.4606911711 0.3780676131 0.4275225456
  [1626] 0.7341263839 0.2012715011 0.7971945019 0.4485241574 0.7720917264
  [1631] 1.2432420558 0.9474970341 0.4618602780 0.3173084954 0.5333834300
  [1636] 0.4310636678 0.5613695687 1.0201667641 1.0636731362 0.6802067881
  [1641] 0.8448609175 0.7606318459 0.5591421435 1.1849216517 0.1971728245
  [1646] 0.5196963646 0.2710110964 0.1786568077 0.1242846776 0.5552113183
  [1651] 0.6168497729 0.5321905544 0.5097937998 0.5956722540 1.2825903355
  [1656] 0.2759828628 0.4153357575 0.9463272378 0.8585896545 0.3768433623
  [1661] 0.1885765839 0.6501081264 0.4367251039 0.3739234985 0.1534765932
  [1666] 0.4434345677 0.6416482793 0.8674086376 1.0147646177 0.5918849518
  [1671] 0.5739544252 0.3177278880 0.2715352633 0.1242102068 0.3587641341
  [1676] 0.8177574308 0.3038036728 0.7489401769 0.3789710640 0.9344495091
  [1681] 0.5440154807 0.7075047936 0.7504388726 0.5210425124 0.3074275291
  [1686] 0.5059155449 0.5619128941 0.5268390044 0.3499538459 0.5344059135
  [1691] 0.6742427589 0.8447285540 0.8403761096 0.4921778125 0.9036215179
  [1696] 0.8676515371 0.9408134232 0.8289922899 0.8881129371 0.3869181356
  [1701] 0.1563371832 0.1992458402 0.2305181496 1.0493517745 0.4267193859
  [1706] 0.8006528311 0.8224540361 0.3747498811 0.3373425351 1.0023367163
  [1711] 0.5090702088 0.5843365556 0.4818483818 0.4323213076 1.0821329115
  [1716] 0.8404204872 0.3928495683 0.6556964630 1.0566447705 0.6161247663
  [1721] 0.1224271391 0.4522128367 0.9548485317 0.4869859931 0.5493893160
  [1726] 0.5997645096 0.3589805211 0.3154256735 0.5550748048 0.6190930445
  [1731] 0.6230242652 0.4876065542 0.8734040436 0.5054467636 0.3606817617
  [1736] 0.4001946128 0.5222952361 1.0333153953 0.4767623465 0.6496770598
  [1741] 0.2029429934 0.5798476969 0.1901726292 0.6912952274 0.4689469087
  [1746] 0.1788216699 0.4247526895 0.7956803708 0.5926307839 1.1221176320
  [1751] 0.4259074076 0.4845033171 1.4315184160 0.3972306782 1.0002645244
  [1756] 0.3823392677 0.7301688305 0.2216799265 0.7842099064 0.3807559709
  [1761] 0.6275373876 0.7158829515 0.5867906771 0.5473834482 0.4557259149
  [1766] 0.7353269812 0.6640469988 0.7371639893 0.4948945688 0.2283508379
  [1771] 0.3159911880 0.0730900996 0.7000893705 0.5232676130 0.3789989963
  [1776] 0.5837056150 0.2458746860 1.0581383963 0.3742538903 0.3193683925
  [1781] 1.3841363754 0.3419827544 0.3079335689 0.6535279835 0.5424379769
  [1786] 1.0918107442 0.8932081794 0.2067738781 1.2859228661 0.2467003124
  [1791] 0.5401639442 0.6101551331 0.8668064532 1.5889018206 0.6967032496
  [1796] 0.7368475512 0.8802436948 0.5925048526 1.4974804835 1.4043190201
  [1801] 1.2502500458 0.9791560126 1.0252518295 1.4015057867 0.2384909042
  [1806] 0.8499219283 0.8812794578 0.8806881095 0.7884557294 0.2509340843
  [1811] 0.8609253068 0.3889748214 0.7400523622 0.4628925304 1.2059521468
  [1816] 1.1574977049 0.9327434723 0.2967409250 0.7139719942 0.2970113375
  [1821] 0.6979357860 0.7954263965 0.1241359006 0.7026954227 0.6801405723
  [1826] 1.0253893591 0.9314302953 0.5981128556 0.3284736242 1.2209743012
  [1831] 0.5070634548 0.9844498988 0.4591880133 0.1016682008 0.3594490092
  [1836] 0.7483609341 0.2748871073 0.6166074447 0.4380783265 0.4586563395
  [1841] 0.7098829842 0.2543111420 0.9185560086 0.7534159049 0.7574404760
  [1846] 0.4266169151 0.7817228884 0.7108734879 0.8448338198 1.0530127669
  [1851] 0.5799892855 0.5791129017 0.3729147494 0.1304804813 0.7643358515
  [1856] 0.5240421310 0.6132806933 0.6033065657 1.0828920032 0.4851106375
  [1861] 0.5024306991 0.4004771770 0.2152963975 0.2104891165 0.7492134635
  [1866] 1.2394288236 0.4567778490 0.5521233995 0.4994026866 0.4902654814
  [1871] 0.5226282301 0.8113396194 0.5979956538 0.3191956321 1.2989284116
  [1876] 0.8297840611 0.5570465554 0.7104128121 0.7933802112 0.5362139858
  [1881] 1.1838090505 0.4203105600 0.5953832338 0.4263587897 0.5441588002
  [1886] 0.5180227516 0.3467395598 0.2167180341 0.2747517223 0.3473236465
  [1891] 0.3022225905 0.2806307971 0.8625623045 0.5769180656 0.1692018218
  [1896] 0.8750229072 0.3708814477 0.5597240936 1.4010455146 1.0366179247
  [1901] 0.7843957298 0.2413550076 0.8620892118 0.2707079138 0.5394564952
  [1906] 0.3057944428 0.6562474820 0.4324214551 0.5110812003 0.4421211416
  [1911] 0.7427356080 0.0453641326 0.6431996963 0.5439364625 0.7974122981
  [1916] 0.9178778133 0.1245301946 0.5000832443 0.4553794937 0.5400820509
  [1921] 0.4135301571 0.3349735798 0.9728715166 0.5193576566 0.3466748436
  [1926] 0.3149503039 0.9387637443 0.2952137000 0.5783150351 0.7134331805
  [1931] 0.4726937073 0.4139344941 0.4299758928 0.4791756823 0.3125034704
  [1936] 0.6915606728 0.5222277314 0.7397217907 0.4513523564 0.9668577673
  [1941] 0.1707448315 0.5452759431 0.4102009009 1.4043330243 0.5614050109
  [1946] 1.1481993084 0.1991277608 0.4900560100 0.9564433182 0.3186583142
  [1951] 0.1381271161 0.8626403149 0.2749806521 1.3491643596 1.0101854394
  [1956] 0.2490391232 0.4109017400 0.4935004782 1.4720537139 0.7977866790
  [1961] 0.7241588992 0.4557972423 1.0743521831 0.5073717695 0.2115269051
  [1966] 0.7437011962 0.4709083668 0.5828125018 0.7927728424 0.5505754026
  [1971] 0.9991640516 1.0149910152 0.3775629881 0.6165064862 0.3514942850
  [1976] 0.5596970757 0.8007952912 0.3471864711 0.4614499162 0.8023944711
  [1981] 0.6425326971 0.2948051031 0.3882908834 0.7211062779 1.0644160839
  [1986] 0.2227208722 0.4882357632 0.4885201939 0.5381106793 0.6419849393
  [1991] 0.6345346299 0.5268858630 0.7106885736 0.5422316122 0.2638286655
  [1996] 1.4466094849 0.4824793548 0.3996429466 0.3098956339 0.9188509710
  [2001] 0.4371309798 0.3101299100 0.1326231414 1.0066304686 0.1501463352
  [2006] 0.6734210960 0.3250513545 0.4786945024 0.6955450875 0.6761746017
  [2011] 0.6783756634 0.7085434033 0.3542766565 0.9374570175 0.4330457525
  [2016] 0.6200650827 1.1698991688 0.6085415083 0.6278485708 0.4363959553
  [2021] 0.7120350707 0.5459051003 0.7104837647 0.6113286433 0.2972170770
  [2026] 0.6305913761 1.1768259377 1.0792676165 0.4360194155 0.9341978233
  [2031] 0.5123889683 0.5917452849 1.0165998045 0.4827133992 0.3388006319
  [2036] 0.5066668909 0.7605213922 0.7335592409 0.5253414230 0.9246035513
  [2041] 0.8111434022 0.6884049648 0.5208341848 1.0490384114 0.8650094049
  [2046] 0.7606898496 1.4141809289 0.6350659112 0.3897589284 0.4136054698
  [2051] 0.4927247121 0.7021571080 0.0731780411 0.3202444339 0.7616576596
  [2056] 0.2285414984 1.0247102047 0.7700863095 0.4343749165 1.1338722203
  [2061] 1.1782958545 0.7033585696 0.7199450779 0.2893987722 0.0919584984
  [2066] 0.4848504339 0.8285578015 0.5753842160 0.6016416369 1.2490583824
  [2071] 0.1972062753 0.4476808558 0.3114657297 0.2174555133 0.9949632769
  [2076] 0.8596586344 1.1716381032 0.7271917803 0.8322478201 0.4984192541
  [2081] 0.0829358133 0.3409453365 1.5317740905 0.7460347476 0.3606131330
  [2086] 0.2591679424 0.8546390989 1.1084095084 0.6328966726 1.1112265758
  [2091] 0.2360014749 0.4889650846 0.6999522626 0.5165093820 0.5022740857
  [2096] 0.9265398386 1.0509299035 0.2702938951 0.6718644853 0.4765002128
  [2101] 0.2796928164 0.6459087333 1.1024334709 0.2388101111 0.4647332098
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