draw.laplace: Generates variates from Laplace distribution
In UnivRNG: Univariate Pseudo-Random Number Generation
Description
Usage
Arguments
Value
Examples
Description
This function implements pseudo-random number generation for a Laplace (double exponential) distribution with pdf
f(x|λ,α)=\frac{λ}{2}e^{-λ|x-α|}
for lambda>0 where alpha and lambda are the location and scale parameters, respectively.
Usage
1
draw.laplace(nrep, alpha, lambda)
Arguments
nrep
Number of data points to generate.
alpha
Location parameter for the desired Laplace distribution.
lambda
Scale parameter for the desired Laplace distribution.
Value
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.
Examples
1
2
3
draw.laplace(nrep=100000, alpha=4, lambda=2)
draw.laplace(nrep=100000, alpha=-5, lambda=4)
Example output
$y
[1] 4.079356128 3.826856463 4.564202816 4.203304980 3.783472216
[6] 4.019088983 4.149464291 4.109154847 2.940419336 5.418032858
[11] 2.228270267 4.228422619 4.464127399 4.240859706 4.304646409
[16] 3.712135374 3.811951379 4.745816707 3.838060748 4.000409278
[21] 3.671362621 4.866263110 3.818297376 3.955370912 3.926177889
[26] 3.385178154 4.228365984 3.859236771 4.439381434 3.900613570
[31] 6.513094363 4.565728462 4.659060533 3.579808926 2.783610496
[36] 4.577302168 3.919676848 3.748633179 4.224202768 3.806704909
[41] 4.428457691 4.152468458 0.203494081 3.552866258 4.085677060
[46] 4.063590946 3.697995867 3.839528751 3.407535391 4.063938232
[51] 4.058069480 4.403967187 3.383782113 3.366153283 3.193968664
[56] 3.823689963 3.759742428 3.045784476 2.980110414 3.501045673
[61] 4.450564667 4.980422945 3.040873783 2.723052635 4.246121808
[66] 4.711555443 4.234625672 4.083818699 4.712233504 3.593349127
[71] 4.543308634 4.334703628 3.361369641 4.254383721 3.309358988
[76] 4.170643633 3.981548473 4.644383088 3.651687366 3.861100471
[81] 4.130802876 3.772321110 4.112451051 4.044486300 3.675749871
[86] 3.877137928 3.911489348 3.698073150 6.684958749 3.350858383
[91] 3.070213388 4.151542894 3.853569729 4.016806878 4.270865510
[96] 3.776003278 3.066541799 4.466749687 3.886800514 4.757787933
[101] 5.191463367 4.960867660 3.593503712 3.970599860 3.751907830
[106] 4.014968604 3.920533770 4.214000657 4.158222202 3.569666395
[111] 3.229062802 2.454041833 3.760615075 3.847222578 4.452139277
[116] 4.072477276 4.228474827 3.956605225 3.165408940 5.133938128
[121] 4.109854561 3.802985619 4.043180857 3.677999816 3.862877753
[126] 3.983073469 5.467309344 5.056483965 4.359792336 4.909169871
[131] 3.914741846 3.789608893 4.128543460 4.238676479 3.423196888
[136] 4.433186844 4.234746550 4.572938746 4.472704694 3.397298152
[141] 3.146059628 4.578203626 3.869564024 3.764159631 3.712134000
[146] 3.950084385 3.377444655 3.613756165 3.828758606 4.794500344
[151] 3.682020351 2.400237813 3.460928246 5.314309035 4.042799931
[156] 4.625714354 3.293708385 1.693884930 4.265639013 3.430211260
[161] 3.546885561 4.176041301 3.528424718 4.138311147 3.510777982
[166] 4.244647496 3.912081099 2.519748803 3.396409806 4.805836055
[171] 4.050347712 3.575061388 3.972184058 4.296768705 3.337833229
[176] 3.643443257 3.744485232 3.698586985 5.205940642 3.945226870
[181] 4.720112324 4.094993070 4.067694807 4.551962844 3.403356207
[186] 3.603058738 4.042137048 4.306857137 4.193909139 4.115886152
[191] 4.782731694 4.515392894 4.151515448 4.726836040 5.240142480
[196] 3.463249169 2.660377537 5.618636288 4.097779768 5.326861304
[201] 3.747963327 3.314403952 3.966343011 4.704949156 4.014373186
[206] 2.643023358 3.849116736 5.451539479 4.479894074 3.911324748
[211] 5.112987501 3.447202681 4.479647940 3.694284842 4.331958744
[216] 3.543350058 4.472468999 3.632621455 3.819008601 4.821977413
[221] 3.952086095 2.138362249 4.736407417 3.677682676 4.668192621
[226] 3.849773507 4.957258721 3.986191814 3.808630314 4.071278492
[231] 3.658152989 5.908004767 4.118454586 6.239031473 3.876994259
[236] 3.828408845 4.192786035 5.693013165 4.381681410 4.014556003
[241] 3.934719545 4.984838697 4.637097528 3.670020461 3.933597910
[246] 3.765863441 3.518576792 4.314658780 5.403555596 3.631126036
[251] 3.857954800 4.115467507 4.028623627 4.193728848 3.974310641
[256] 3.896591135 3.685924549 4.126230900 4.844346358 5.610962269
[261] 1.830338761 3.965177611 4.624218618 3.673798764 3.950210525
[266] 4.146693819 4.084543135 4.152493260 4.021234662 3.248064091
[271] 4.125176393 4.669920936 3.868195353 3.934972374 4.160697839
[276] 3.167210461 4.284889324 4.102894512 3.456409596 4.293749535
[281] 4.064825559 4.400885249 3.539294654 4.203851492 4.330802381
[286] 4.259701088 4.632510285 3.362767021 4.454431384 4.823903987
[291] 3.588800721 4.367426918 4.176674715 3.396735751 4.097981842
[296] 4.038379862 4.748427073 4.265512820 3.201012779 5.352657170
[301] 3.851056395 3.989048522 3.809546940 4.271950952 3.596417678
[306] 3.776385164 3.748719985 3.758852017 3.733760066 4.096315689
[311] 2.388581589 3.853787676 3.020850532 3.662023450 2.755317762
[316] 3.437487530 5.276620224 3.594131568 3.811637796 3.883458809
[321] 4.669657985 3.777905216 2.555397421 3.958883350 3.324132478
[326] 2.945494028 4.053823969 4.855330859 4.169393771 3.919273318
[331] 3.911288941 3.697992578 4.033936385 3.026519197 4.506005619
[336] 4.861143763 3.601751005 4.406364839 3.794202426 5.204726270
[341] 3.308290128 3.753428310 4.386970804 4.524091726 4.171027524
[346] 4.154122426 4.037392185 4.529091336 2.585665664 4.726348046
[351] 4.480337860 4.450573637 3.341106621 4.393212002 4.146949494
[356] 3.410182887 3.637612096 4.151565928 3.426977752 3.993824365
[361] 4.147641050 3.028253779 3.481376257 4.101870088 3.929209095
[366] 3.676233916 4.155663482 4.010402079 3.765817920 3.759173798
[371] 3.433117196 3.426857427 3.764339618 3.783226314 4.515890764
[376] 4.121698267 4.797595039 3.441666173 3.990391389 4.182352051
[381] 4.337876049 4.382650207 4.191295360 4.094591025 4.336010049
[386] 6.271014655 4.009548678 3.911901611 4.361352405 4.235537310
[391] 4.102684531 2.944685713 4.191459606 4.217623977 3.429526459
[396] 4.500402827 3.585978538 3.755342058 4.103835110 2.820102501
[401] 5.266435443 4.070531722 3.848838381 4.330324339 4.935227329
[406] 3.742400137 4.180495637 3.951435621 4.150907536 4.156263333
[411] 4.748660558 3.546711798 3.288078356 3.834627890 3.825169567
[416] 1.853981501 3.705998535 3.996366127 3.755184141 3.844866004
[421] 3.970340741 4.561350300 4.242398361 3.568222977 3.361845831
[426] 3.646279703 4.037645951 3.556877998 3.372294457 1.498836959
[431] 2.849918758 5.343651420 5.058357942 4.109660855 5.094395769
[436] 3.475486253 4.246541986 3.936191533 3.852993005 4.838235608
[441] 4.271871576 4.053516135 3.076377183 3.426678226 4.348773940
[446] 4.685705371 3.633173280 3.597811779 3.595177321 3.770334436
[451] 3.552298406 3.514493395 4.716939571 4.367998888 5.112174964
[456] 3.899990440 3.946320223 4.216650509 3.252048492 3.974487818
[461] 3.969761014 3.697487599 4.395858306 3.958289116 4.602924613
[466] 4.588393040 4.091143093 3.877038079 3.710990512 3.949211511
[471] 4.268626399 3.969754275 3.451504501 4.321768155 6.107891563
[476] 3.542491827 4.062430694 3.394998099 2.982810644 4.195101339
[481] 4.294968659 4.108577325 3.640947414 4.702885974 3.869956285
[486] 3.493189938 3.979493100 3.620445289 2.780524892 3.655861300
[491] 4.365676365 2.499430660 3.958001608 2.364520989 3.887902367
[496] 3.830223537 4.428966621 4.110587955 2.970295601 3.968794625
[501] 4.062345774 4.613519254 3.421555009 4.014001453 2.863903171
[506] 5.834915998 4.094762313 5.270320580 5.012342270 3.939629006
[511] 4.199620307 4.139824427 2.156741907 4.065275682 3.163561382
[516] 3.942655925 5.376626351 3.984350833 4.303982556 3.946725594
[521] 4.023730818 5.108036640 3.830191193 3.731829380 3.910495381
[526] 3.956410548 4.274938716 3.666294925 3.394622040 1.533903069
[531] 4.016980161 4.194666750 3.638924121 4.150210972 3.950078818
[536] 3.951942085 3.833598627 5.805862510 3.278504403 3.841485249
[541] 4.750894984 5.382503760 5.275536309 3.739289059 4.446899347
[546] 4.838649324 3.572678148 4.000582928 5.061975255 4.117726002
[551] 4.269530552 4.142813838 4.294208761 3.693567842 3.852576246
[556] 4.419889606 4.430836739 3.515888461 4.374320009 2.932376769
[561] 3.322734476 4.282356730 3.822358283 3.065457672 3.311638176
[566] 3.896543445 3.680941819 4.483782360 5.270047153 4.589333289
[571] 2.990786474 3.114290552 4.658393898 4.414768372 4.512588123
[576] 3.580809437 2.247338844 3.021055158 2.151672855 3.773738819
[581] 4.190825308 3.645317835 1.429363058 4.394157965 5.073349914
[586] 3.996277982 4.020318453 3.520278570 3.893142591 5.371683103
[591] 4.608132245 4.306142993 2.583904773 3.453887574 3.931860049
[596] 4.787138850 3.086445856 4.008146869 4.284092396 4.001405817
[601] 4.270016173 3.789582573 4.681864782 4.991181729 4.021304541
[606] 4.240205890 4.013512436 3.846078465 4.342773130 3.686415399
[611] 4.454023586 4.060225878 4.248962582 3.686479435 4.702712376
[616] 5.268662288 4.419232703 3.755078976 4.458452128 3.496495142
[621] 3.480113817 4.179923955 3.681737604 4.170359001 3.503679035
[626] 4.148669736 3.840179771 3.023903439 3.684905470 3.563638797
[631] 4.767571508 4.115937216 4.349883069 3.891146627 4.298633196
[636] 3.297879563 4.553233278 3.991860710 3.529043147 3.543275159
[641] 4.634175568 4.323781769 4.010416142 3.886059696 4.178193752
[646] 3.251572046 3.955733013 3.994414276 4.133491895 4.592529610
[651] 3.734188101 3.757969107 2.723539648 3.813049036 3.892992049
[656] 3.814920839 3.086025224 3.350960223 4.652129199 4.519063173
[661] 3.647110630 4.603750227 3.807354136 5.296635159 4.397588438
[666] 4.526241077 4.695063927 5.243964421 3.652484393 3.909957926
[671] 5.302215795 3.114906399 2.602306265 3.523642071 4.786327736
[676] 4.066337546 4.301622954 3.989059472 3.892950083 3.860098946
[681] 3.922038670 3.802717523 6.509814494 3.777864264 4.087045106
[686] 2.938724852 4.434773194 3.887370627 3.164854939 5.250482642
[691] 4.580233821 3.752069495 3.797979880 3.639058704 3.733228065
[696] 4.680758225 3.785746391 4.166037672 4.590247318 3.733940091
[701] 3.759224963 4.211911381 4.419093655 4.597666938 4.408936710
[706] 3.172344498 3.921020133 5.701741803 2.456820265 4.225346396
[711] 3.946455175 4.284731129 4.028191250 3.359254863 2.825265462
[716] 5.439300815 3.816846556 2.417261779 3.858311383 3.083120596
[721] 3.850038919 3.819422049 3.754521117 3.853820173 4.665652578
[726] 5.142842646 3.125104658 4.979681511 3.971260665 3.630363195
[731] 2.259195698 3.524987036 4.267398405 5.296235538 4.091104176
[736] 3.189390697 3.663066782 3.991601065 4.238048747 4.317491921
[741] 3.814906657 3.921138563 3.953336591 5.048074913 4.513599708
[746] 4.165376587 2.880214389 4.665344577 2.628875275 4.123011183
[751] 3.651123335 3.701801092 4.330280877 4.046784913 4.061043562
[756] 4.504964871 1.568378503 3.355156457 4.254758089 4.937068789
[761] 5.946031223 5.138086523 3.921512555 3.808372442 4.666614517
[766] 5.516616475 3.862789751 4.465752810 5.350873920 3.664024719
[771] 4.053680914 4.361030347 4.002776411 3.650383099 5.118371849
[776] 2.916354641 4.072946280 3.290923189 4.014977558 3.955574693
[781] 4.208431639 3.346797057 2.703921859 4.579156769 3.684517581
[786] 3.742520856 3.637750576 4.987509480 3.878763579 4.096536871
[791] 4.423644532 0.537257918 3.879898994 4.267691477 4.334790811
[796] 4.043174220 4.402142852 2.828533602 3.957625742 3.957030809
[801] 3.651382877 4.039335485 3.873539721 4.222235429 3.767323570
[806] 4.411147882 2.628329213 4.103877955 4.904170142 4.108702782
[811] 4.235258086 3.979191917 2.968334126 4.199093519 3.848597117
[816] 3.619837787 4.027567490 4.420498983 4.232332269 3.934637484
[821] 3.856718942 4.023409059 2.306079045 4.033725218 4.265541216
[826] 3.487713480 3.835358345 5.541548546 4.643225483 3.750162564
[831] 4.098531176 3.932475492 6.020866307 4.225600872 2.977559051
[836] 4.239425018 4.328935991 2.749858742 3.794588393 4.576616183
[841] 4.282048725 4.361041356 3.012022321 3.083081047 4.217550120
[846] 3.689752847 4.134207416 3.901036655 4.024657246 3.817725619
[851] 2.489113700 3.979679384 4.054518641 4.522207574 3.884732551
[856] 3.027340509 4.876140676 3.237280324 3.668689911 5.526441143
[861] 4.948640036 5.078341545 6.357888574 4.560216328 4.251687845
[866] 3.825253494 4.574048540 4.092779056 4.209964432 3.209967748
[871] 3.808517955 4.020190967 3.477685924 3.483604334 4.199577447
[876] 4.529632212 2.448022597 3.705599135 4.505088966 3.533213306
[881] 3.749425968 3.874596511 3.140120797 4.671662427 3.427227360
[886] 3.707101699 1.614303088 3.859480852 2.935001819 3.921761384
[891] 3.943560470 5.178582400 3.802683644 3.596154414 3.745188995
[896] 3.942965888 4.127093698 2.822968539 3.325810600 4.145477387
[901] 4.881975204 4.247111357 4.139888865 3.466873675 2.705204994
[906] 4.467361208 5.917656290 3.751550021 3.530333213 4.068986089
[911] 4.530697720 3.737439885 3.771678285 4.402283885 1.909224963
[916] 3.719547443 3.689644036 4.274875842 3.946855496 3.757428285
[921] 3.734200300 4.655299420 4.190094387 4.057180632 4.721164451
[926] 4.277126257 5.393281221 3.588921781 4.210413577 5.902008781
[931] 3.443408779 4.021586034 4.551477710 4.252568980 3.960249701
[936] 3.846917303 3.831248597 5.625061426 3.839039322 3.850123352
[941] 3.359958771 4.131512961 2.608709391 2.670366707 3.802017918
[946] 4.410602113 4.538743213 3.439808926 3.693115779 3.946803542
[951] 4.782067834 4.435983476 4.606711503 4.576276137 4.977860269
[956] 3.259543733 3.956455813 4.231484735 6.010825734 3.253073860
[961] 3.682852448 3.612226440 3.982916256 4.392726850 3.125411911
[966] 4.077549939 5.811118285 3.247142030 4.616940250 4.525017532
[971] 4.205230226 4.522834597 4.086266021 4.330896551 3.798172383
[976] 3.996300077 4.087869341 3.556243592 3.455284699 3.719838869
[981] 4.286681062 3.246626374 3.575041153 4.262135137 4.013370916
[986] 3.637054634 3.986059402 3.512000398 3.593201546 3.083742095
[991] 4.458511155 3.719760096 4.466450663 5.019882329 3.439542587
[996] 4.201436746 4.011514316 3.827216434 4.285601483 3.390063472
[1001] 5.152107284 4.287127919 4.730997236 3.991223583 4.514703997
[1006] 4.350803033 3.573183709 4.403465285 3.705971438 3.827884678
[1011] 3.999731868 3.236259257 4.033758728 4.003543589 3.923369895
[1016] 3.500394297 5.199060284 4.995922610 4.231060446 4.665398556
[1021] 3.551052076 4.195587940 4.854547095 4.121295068 4.630959169
[1026] 3.907583624 3.615492406 3.201513499 3.160819468 3.799494577
[1031] 3.987669514 3.615723970 5.230357042 5.160848531 4.094552468
[1036] 3.827223873 3.925579810 3.665340239 4.278961408 4.194696445
[1041] 3.617906016 5.260184369 4.073354058 3.439343810 3.695507795
[1046] 4.125586482 3.885374451 3.134245987 4.436940995 3.336073568
[1051] 4.757482261 3.901729449 3.585599258 4.632700207 5.064601417
[1056] 3.750595347 3.141524556 3.791180200 3.604760042 3.712210745
[1061] 3.687131279 3.889704443 3.826000647 3.346038630 5.138085790
[1066] 3.746414210 3.702224317 2.186583405 2.996588474 4.052529092
[1071] 5.162298852 4.084500735 5.878291200 3.411568479 5.587890292
[1076] 5.543431058 4.056006733 5.097201907 4.086083154 3.929310889
[1081] 3.866000538 2.653128232 3.826125066 6.310313189 4.901058318
[1086] 4.425692148 4.112488180 4.761734181 5.804511103 4.275147036
[1091] 4.167880694 5.492977172 3.877722742 3.670446465 4.253415136
[1096] 3.432581193 3.905522960 4.181678485 4.568491986 4.601110527
[1101] 3.440836099 4.057734902 4.393600190 3.905300648 4.010767800
[1106] 4.506673815 4.127789189 4.120728106 4.012938678 6.365872512
[1111] 4.482559509 4.584212543 3.613059487 4.572350401 3.818931737
[1116] 3.933412529 4.099740809 4.005971188 5.224301034 5.549224367
[1121] 4.125377442 3.802727077 4.383698090 3.999532304 3.264546810
[1126] 3.660543658 3.642038950 3.896655761 3.741765543 3.333315189
[1131] 3.590299976 2.670620044 3.811976572 3.237504813 3.885929828
[1136] 4.727039969 4.415809485 4.407071764 4.659270084 4.112464023
[1141] 4.826484767 4.198158798 4.063429715 3.685025108 1.696498772
[1146] 3.962083626 3.992320545 3.471078182 3.840718479 3.784860026
[1151] 3.196825914 4.335325725 4.636308276 4.768167963 3.899441089
[1156] 4.825497855 4.341346039 3.422127742 4.453452837 3.982749141
[1161] 4.934254918 4.536634341 4.815653034 4.636340172 4.293548791
[1166] 4.141611085 3.548506409 5.307201705 3.697242999 4.036577804
[1171] 5.280496635 4.227982784 4.568048414 4.088471226 3.744998357
[1176] 4.454576723 4.341809324 4.400118637 5.188479763 2.084714643
[1181] 5.780174057 4.391162004 4.081178475 4.218827109 4.558507253
[1186] 4.549480349 4.110935349 4.494579170 4.392466855 4.381381744
[1191] 4.143290428 4.001455622 4.366323038 4.026277429 4.742242875
[1196] 6.913714580 6.732263558 3.509404128 3.660331304 3.193528618
[1201] 4.029171712 4.717297079 4.521118173 4.414060628 3.439394333
[1206] 3.755380345 3.593981382 4.270995783 4.026355559 3.876817389
[1211] 4.000922199 4.276885836 3.620420932 3.941037673 2.738385747
[1216] 3.820643669 5.807005938 3.928778404 3.433660175 1.900918575
[1221] 4.021648861 4.004846652 3.904731284 2.998224506 4.541260316
[1226] 5.512130164 1.824331645 4.142540413 4.616669382 4.190020291
[1231] 3.807823874 3.190585738 3.518578044 3.923839214 3.922084140
[1236] 4.013452095 4.394761665 4.174907006 3.065787238 3.627023446
[1241] 4.084628384 3.762774072 3.573319118 3.774370271 3.745138455
[1246] 3.751817220 3.229717503 3.925855008 4.155306693 3.143387953
[1251] 4.110684702 3.557279474 4.094203866 4.128537382 2.674892097
[1256] 3.143144614 4.108832834 4.174285635 4.989917688 3.946010705
[1261] 4.023263868 3.568393367 3.871370374 4.598960872 3.523031633
[1266] 4.056394331 3.162201257 5.404909849 3.576467932 4.000399075
[1271] 3.800629998 4.060176525 3.736139195 5.707016572 3.176867123
[1276] 3.110167195 3.059004551 3.665553518 2.805233293 3.702974707
[1281] 2.994993738 4.173502994 3.410983617 4.907631258 4.280859521
[1286] 4.005686617 3.646847922 3.527251629 3.772490031 2.380497135
[1291] 4.089569004 3.287022553 4.280336264 3.532569439 4.185058178
[1296] 4.595076740 3.079416922 4.019025611 3.569750667 3.732333851
[1301] 3.111049495 3.952208047 3.821220411 4.313908656 4.576276464
[1306] 3.607500555 3.777496863 3.967757588 4.137680353 4.030144694
[1311] 3.954347966 3.536040803 4.057060823 4.163797694 4.318853005
[1316] 3.983680573 1.821274853 4.551116826 3.460978610 3.886544361
[1321] 2.946895844 4.019386034 3.882395580 3.997092888 2.912008868
[1326] 5.329674915 3.583318241 6.414979735 3.798843555 4.452826289
[1331] 3.193398245 3.817180967 3.706375433 2.364259105 3.856551626
[1336] 4.296503399 3.259357153 4.337660137 3.580331682 3.572675474
[1341] 3.645439241 4.461790363 4.380179626 5.169637286 4.098281271
[1346] 3.969799538 4.125340838 3.869719745 1.538209144 3.518087459
[1351] 4.958567233 4.176200284 4.059872108 4.185672379 3.854471264
[1356] 4.063216978 5.400096465 5.021232475 3.817814534 4.119450742
[1361] 4.100343857 4.102666950 4.117921073 2.701420474 4.089811837
[1366] 3.953964575 3.451354146 3.120032360 3.095602107 4.260024999
[1371] 6.046089369 4.623520323 3.182819593 4.148717509 4.013372846
[1376] 4.731686506 4.051092390 3.923917748 3.767288792 3.143422993
[1381] 3.734558914 3.439463462 3.998758339 3.968295233 4.071960809
[1386] 3.501816089 2.843602660 4.137581785 4.606445223 4.110269538
[1391] 4.132844080 3.626934046 3.384659013 4.203705297 3.390897780
[1396] 4.276986497 2.849647866 4.271336303 3.672944759 3.850141220
[1401] 4.826917093 4.144323489 3.610820038 3.853428437 5.402339319
[1406] 1.920892825 4.014917941 4.247072296 4.086578887 3.860823526
[1411] 2.797756733 3.847285118 4.166460917 4.261636090 3.826063070
[1416] 4.055103614 5.420499802 4.721386724 4.283506553 4.063887029
[1421] 4.154323687 4.682240961 3.521261216 3.878114162 3.878286357
[1426] 3.746705753 4.399329495 4.476058216 4.187487843 3.995641692
[1431] 6.274503315 3.484380335 3.473271883 4.024439084 3.950458483
[1436] 4.231113716 4.259322227 3.924637644 4.000216549 4.258939129
[1441] 4.501960526 4.760441903 5.256198885 5.513933854 5.016582006
[1446] 5.236545348 4.313661063 3.753943092 4.136818320 4.349036880
[1451] 3.690649118 4.878078858 3.021870193 4.395628228 4.004282844
[1456] 4.393117216 4.230637352 4.621284608 3.425998279 3.460154084
[1461] 4.221801829 4.417898696 3.792773587 4.031657394 3.443516883
[1466] 3.826353745 3.671576426 3.658762039 2.917530839 4.261627716
[1471] 4.215427176 3.550219186 3.651027561 4.452077612 4.402177607
[1476] 4.660625149 3.757118467 6.033514234 5.583777193 5.149126156
[1481] 4.343491035 5.417799573 4.051590032 4.727740741 5.274356252
[1486] 4.538180598 3.227944563 4.220689174 4.175228314 4.110952122
[1491] 4.123637221 3.690851213 4.668635611 4.882801963 4.132391234
[1496] 4.104408968 3.193482241 4.528978982 4.440284105 3.073106166
[1501] 4.702344034 3.559712199 4.589327108 3.896444910 3.792735771
[1506] 2.810785021 4.431546721 3.648151767 4.199132733 2.934801708
[1511] 3.688211981 1.810893271 4.072784033 4.127712325 3.948859270
[1516] 4.236477270 2.944935218 3.510482915 4.319888737 3.967619255
[1521] 4.727801680 3.662755308 1.884938618 5.239156607 4.210079198
[1526] 4.550612590 3.748525905 3.569617832 4.396340769 3.606956661
[1531] 4.594108107 3.839268957 3.425847344 4.636426701 5.062929492
[1536] 3.939576317 3.438918691 3.676215761 4.891175047 4.568243705
[1541] 4.031128529 3.071652872 2.516452916 4.199202085 3.894984016
[1546] 4.328767973 3.692001390 5.595554829 4.122469011 4.349833664
[1551] 4.799385522 2.754557031 5.360675323 2.311107885 4.241266089
[1556] 3.505388351 3.845089277 4.250766973 3.656350611 4.200025233
[1561] 4.629475834 4.142823086 3.715254756 5.051337586 4.674659923
[1566] 3.907999284 4.142185642 3.543800774 4.221471046 5.567094078
[1571] 4.735168637 3.627379904 3.795463233 4.606657334 3.930985907
[1576] 6.302975992 4.064926371 3.473480357 3.699809171 3.323147593
[1581] 3.288327853 3.953251212 4.172649481 3.750416317 4.066209128
[1586] 3.752090650 3.958448407 4.301953117 3.606089179 3.710326284
[1591] 3.151898787 3.535292064 4.260981653 4.003296945 4.040696036
[1596] 3.914027585 3.114018658 4.839263651 3.595647534 4.935563819
[1601] 3.610479622 6.542538279 3.233591430 4.200719803 3.976010510
[1606] 4.651413967 3.869518320 4.745656796 4.883921011 4.462001116
[1611] 3.994343112 2.725070453 4.021230819 3.954828615 5.460574968
[1616] 4.501875886 3.721865998 2.901140921 4.157069701 5.430350692
[1621] 4.030075600 4.322986483 3.811124293 3.979338759 2.165390452
[1626] 4.482295325 4.981282548 4.355391076 4.133900078 3.933081958
[1631] 3.505059447 3.214219692 4.437354714 3.711536960 3.594925013
[1636] 3.890747532 4.084572201 4.008766501 5.046080002 2.596223593
[1641] 3.571152556 4.028027336 3.506952903 3.769834072 4.062073042
[1646] 3.162958889 3.590737957 4.373294470 3.807187221 3.573416948
[1651] 3.875457978 2.378386031 4.537623320 4.856918369 5.270468342
[1656] 4.238702341 4.745036673 4.120662573 3.564611469 3.973478696
[1661] 3.905320331 3.824813045 4.280290008 3.688567221 3.058775939
[1666] 4.266239855 3.651812614 3.481195571 4.739391502 3.733461321
[1671] 3.808514310 4.259250147 4.156336521 4.401939689 3.825182856
[1676] 4.001945661 5.229435851 3.492067344 4.208321540 4.341775527
[1681] 3.819373844 4.010520016 4.655677189 2.873784655 4.123920416
[1686] 3.798816436 4.626499997 7.238835542 4.773227522 3.424130012
[1691] 4.025216926 2.881256298 4.155460842 5.458221647 4.818437558
[1696] 5.154768236 3.594468731 4.458039890 4.166566313 3.231389453
[1701] 3.659546738 3.902001799 4.450699138 3.719122596 2.362764362
[1706] 3.919165687 4.593881458 5.269534804 4.079831389 3.429948601
[1711] 4.591668694 4.404462733 3.784599321 4.421218832 4.725494110
[1716] 4.195620917 3.332432639 4.659929054 3.663600118 3.548713262
[1721] 4.212352801 4.503713145 3.542180487 4.215005241 4.058849823
[1726] 3.508658535 3.625440800 2.606502045 4.409616777 4.796653573
[1731] 4.336527650 5.257386838 4.026976575 4.642143478 4.507439774
[1736] 3.772104392 3.401230691 4.043954721 4.149969537 4.355404350
[1741] 5.269685364 3.834366614 2.388532300 4.847129645 3.923938027
[1746] 3.759086330 4.268897100 4.726964903 3.862731078 3.567152428
[1751] 3.244036742 3.266226631 3.635110300 5.852254930 4.064768410
[1756] 3.976750093 4.104911147 3.998062450 3.779903324 4.402949758
[1761] 3.982432977 3.531310326 4.653112346 3.626776058 3.899033846
[1766] 2.868467488 5.411522210 4.484940620 3.919016292 5.156174154
[1771] 4.666572887 3.988550109 4.781336280 4.349447828 5.838671532
[1776] 3.697736020 3.898316598 4.084842227 4.503641216 3.954670254
[1781] 3.455327397 4.226790678 4.584005889 3.742100410 5.360645396
[1786] 3.656602937 4.083020707 3.814380587 4.202357919 3.219189374
[1791] 4.766770598 3.308760383 4.362172050 4.136849772 4.132899722
[1796] 3.267916516 4.047412068 4.389157812 3.984208137 4.366579296
[1801] 3.850751556 4.713986528 5.286156314 3.912734090 2.029033241
[1806] 4.336251035 4.457497928 3.640481518 5.219877436 4.088987168
[1811] 4.255989417 4.122349557 4.645392991 2.317363024 3.580799704
[1816] 4.107364934 3.817874471 3.876550259 4.274649117 4.773066374
[1821] 3.834481844 3.411071208 3.824887812 3.507476204 4.250889968
[1826] 3.715429148 3.617729622 4.115870018 4.250664599 3.552903696
[1831] 3.924571044 4.111195574 5.212300419 3.975617377 3.168390411
[1836] 4.527722033 5.015831071 3.087057250 4.012246212 4.724495272
[1841] 4.453302991 5.113391585 4.039265881 5.280930404 4.629920200
[1846] 4.260867317 4.902527739 4.755910251 5.808058108 5.496561811
[1851] 2.690851832 3.855946743 4.032005406 4.508185348 3.689129357
[1856] 3.160609875 3.998235594 3.674817136 3.218506182 4.885162236
[1861] 3.785357551 3.644890127 6.010037254 4.650825313 4.112176221
[1866] 3.244364033 3.805894869 3.750475344 4.598735179 3.422737541
[1871] 4.614752427 2.488255039 4.094022390 1.852264276 3.769025921
[1876] 4.914173534 4.275416943 3.334579824 4.472581113 3.835743594
[1881] 3.968402638 3.344995165 3.543962403 3.942850848 4.140101422
[1886] 4.275986591 3.427035980 3.774601788 3.520579827 4.619324428
[1891] 3.403825538 4.183566495 3.948805469 3.379228567 4.466265204
[1896] 3.984428401 4.313019015 3.829956280 3.748560094 3.297858629
[1901] 3.929794269 3.903158630 4.216097598 4.555656938 3.813316342
[1906] 2.740105056 4.222348872 5.067544780 4.766877523 3.226018101
[1911] 5.347321310 4.027262120 5.231000396 4.038275683 5.722101372
[1916] 4.459297732 4.065665719 3.806406741 4.821835974 4.287008775
[1921] 4.344662167 4.357595640 3.302946417 3.379445010 4.213472369
[1926] 4.760520190 4.071601499 4.274826403 4.287275186 3.849112213
[1931] 2.837906598 4.421591103 5.011121345 3.797042435 4.154549095
[1936] 3.992319773 4.698501411 4.098860162 3.752013630 2.937002813
[1941] 4.270730628 4.256435810 3.660312139 4.070092807 4.773121020
[1946] 2.127855316 3.761903300 3.739024726 3.238951901 4.011774063
[1951] 4.235763094 2.403982479 4.760077360 3.965941190 3.754069566
[1956] 3.989216587 4.025673236 4.134350367 2.799729427 3.413276177
[1961] 3.892429892 3.369669932 4.823134534 2.982014771 5.869526614
[1966] 3.683298372 5.142549560 4.106206413 5.022158680 3.998016411
[1971] 3.831359801 4.014803604 5.807883884 1.831934111 3.921803838
[1976] 3.983267238 4.028748447 4.032711612 4.625289455 3.180788889
[1981] 3.981594201 4.317534546 4.034412997 3.450388156 3.358939072
[1986] 5.046378796 3.176128613 3.726729392 3.856526320 3.850451161
[1991] 4.462392940 -0.399277114 4.927568357 4.138393124 4.077669856
[1996] 3.868772826 4.760038911 3.979710763 3.706813913 3.992845738
[2001] 4.764962668 4.031715124 3.681485449 3.443589974 3.533968495
[2006] 6.100335428 4.296404504 3.331069152 3.751417971 4.641266381
[2011] 4.189650575 3.374686805 4.030107126 3.206330127 4.641908540
[2016] 3.521714700 4.022784800 3.929941359 4.741466236 3.379302297
[2021] 3.502281132 3.549969629 4.009717086 3.364526483 3.632139667
[2026] 4.243451992 4.216288227 4.824010225 3.836499573 3.689973014
[2031] 3.415023758 1.069112010 3.400276569 4.030618685 4.169271408
[2036] 5.612138554 3.594021598 4.639005719 6.626571410 4.076270857
[2041] 4.235890077 3.692241406 4.315344324 3.751934374 5.053267660
[2046] 3.767443090 3.858726651 3.206983150 3.726736994 3.060295921
[2051] 3.617878335 4.488409788 4.145133580 5.781388644 5.017514764
[2056] 4.140157577 4.314112698 2.486996733 3.819947986 4.237381884
[2061] 2.874541431 3.478079677 6.026515405 2.397856690 3.005679404
[2066] 4.545060287 4.987473717 3.844065283 3.376601563 3.795919476
[2071] 2.852491320 3.636807168 3.759075692 4.168572813 5.059278333
[2076] 4.129918490 3.602058581 3.624122757 3.622592159 2.625104322
[2081] 3.806257245 3.822211310 4.489451642 3.803057326 4.289835244
[2086] 3.559719909 4.163330132 4.853628708 3.148815305 5.331084800
[2091] 4.394467115 3.910548259 3.962248786 1.962663998 3.627880177
[2096] 4.194936221 4.528897141 4.153377580 4.198676913 3.641511107
[2101] 4.182519017 3.333236997 3.842042621 3.803630288 4.097542787
[2106] 4.049841020 2.621667025 3.591177801 4.562327631 3.785569030
[2111] 4.701592984 4.185452376 3.972826363 4.071800921 3.858207653
[2116] 3.098819907 4.292582768 4.094884925 4.356484642 3.907456606
[2121] 3.750815850 4.285463981 4.216475830 4.004806267 4.378064879
[2126] 3.973972183 3.035781400 4.104227777 2.242503915 5.279026196
[2131] 4.046474669 4.024701792 5.013155520 3.535975387 3.964824530
[2136] 4.382507968 5.209490080 4.051933039 4.310798567 3.713690089
[2141] 3.471067625 4.719726979 3.319103928 4.110461839 3.745463149
[2146] 4.269857537 3.276596286 2.959048486 4.190260923 4.132948774
[2151] 4.288106848 4.265306672 3.680423351 4.036981286 3.261971578
[2156] 3.118175893 3.868563269 3.833734741 3.903572633 4.266859217
[2161] 3.383436539 2.725792422 4.694413562 4.362334168 2.467263353
[2166] 3.957804047 4.353080656 4.391399814 4.490616324 4.749604996
[2171] 3.707695447 3.535023363 3.107020776 3.006249193 3.729132900
[2176] 2.992423367 3.097151559 4.383448167 2.631382457 5.800453599
[2181] 3.816840959 4.144535260 4.624300693 4.224871821 4.398491647
[2186] 3.657838528 4.105631898 4.054089364 3.577778186 3.883055186
[2191] 4.984851736 3.387083103 3.340508355 3.226685065 3.581105569
[2196] 4.154516399 4.385057498 3.856257656 4.785765784 3.744930556
[2201] 3.991918199 4.268498196 3.453935456 4.047304972 3.673792477
[2206] 3.708037212 4.197420961 4.402803975 3.675050800 4.109923237
[2211] 4.345518281 3.891593669 4.401267351 4.019997664 3.068481321
[2216] 3.812093795 3.814609719 4.424851614 3.200188488 3.702153485
[2221] 4.046444953 3.815424706 4.005212214 4.105608927 3.713625198
[2226] 3.061117755 3.565617421 1.983356995 4.129780971 3.148738536
[2231] 4.662202288 4.311493444 4.348309099 2.518125003 3.984956227
[2236] 3.508222121 4.118387752 3.916105441 3.616594734 3.488356604
[2241] 4.528759376 3.214296503 4.113151916 2.649703740 3.445541815
[2246] 3.814414773 4.263371217 3.654357927 3.713577315 4.098809648
[2251] 3.629075315 4.151247865 2.828748262 4.694882832 4.074121408
[2256] 5.018512720 4.356814678 4.789738442 5.662723031 4.597999092
[2261] 3.903488973 3.497288923 4.371837055 3.626390695 3.712020267
[2266] 3.339915591 4.565439414 3.896307925 4.068754221 4.172040217
[2271] 4.358619076 3.357076380 4.280300068 3.389597491 3.038309037
[2276] 3.665933414 4.861330798 3.306010349 1.741751379 3.618035828
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[67406] 4.146189265 3.954531830 3.004239075 4.269269928 4.474739910
[67411] 4.220947736 4.247808450 4.507696560 3.474616532 4.208796759
[67416] 4.277078669 4.630613328 3.329898287 4.848937054 6.586636984
[67421] 4.382885781 4.606013327 3.878269051 3.727050177 4.296693486
[67426] 4.639283484 3.686548867 6.062075826 3.781600838 4.202034767
[67431] 4.050183527 4.027606115 3.389924527 4.058113405 5.694601376
[67436] 3.849143822 4.428281942 3.851884561 3.503896470 3.762769678
[67441] 4.018871403 3.895294269 3.960169811 4.628231076 4.570183612
[67446] 4.168574789 4.278343789 3.502504268 3.571293031 3.847383201
[67451] 3.765809785 3.891805054 3.441370967 3.135286311 3.982487885
[67456] 3.566349647 3.688703788 2.809692280 3.469207650 4.097742708
[67461] 3.913916491 3.716371630 2.592982680 3.750679612 4.336770065
[67466] 4.133450601 4.278892427 3.940740355 4.891265023 4.539063503
[67471] 4.000229531 4.041175194 3.717531225 4.661300020 2.029731791
[67476] 3.788092647 4.034889084 3.990568913 4.401012762 4.673713231
[67481] 3.917514177 5.092713330 4.134245120 3.935669225 4.187198377
[67486] 3.072341145 4.156393146 3.674010734 4.118959959 2.680718371
[67491] 4.580140937 4.128179606 2.623990477 3.896071020 4.703202617
[67496] 4.003135413 3.893951428 4.333436584 3.858771171 4.117990908
[67501] 3.827167594 4.775828890 4.014507098 4.256917659 2.930541839
[67506] 3.490860360 3.438253491 4.583224007 5.201519524 4.761777456
[67511] 2.803729001 3.395240936 4.070200335 3.988771860 4.037227388
[67516] 3.984843656 4.498179944 3.711026893 3.798936078 3.456292502
[67521] 4.180539797 4.184009771 3.710693094 3.898182211 4.101538670
[67526] 4.203312972 4.001677529 3.731757486 6.001261908 4.104311979
[67531] 3.388793080 3.839457400 4.165043612 4.788628917 4.698034920
[67536] 5.645352449 3.850075939 4.611981340 2.953372750 3.734814510
[67541] 4.111810233 4.631539077 4.080220219 4.669364830 4.681144873
[67546] 3.878308723 3.134305437 3.920380135 3.699356341 4.137942277
[67551] 3.192462594 2.560376834 4.359466057 3.886571816 3.720187727
[67556] 3.330956594 4.516545005 4.903650363 4.464532674 4.144978771
[67561] 3.403413884 4.425200106 4.931120960 3.612577664 3.301059819
[67566] 4.285827417 5.235958124
UnivRNG documentation built on March 6, 2021, 1:08 a.m.
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Description Usage Arguments Value Examples
Description
This function implements pseudo-random number generation for a Laplace (double exponential) distribution with pdf
f(x|λ,α)=\frac{λ}{2}e^{-λ|x-α|}
for lambda>0 where alpha and lambda are the location and scale parameters, respectively.
Usage
1 | draw.laplace(nrep, alpha, lambda)
|
Arguments
nrep |
Number of data points to generate. |
alpha |
Location parameter for the desired Laplace distribution. |
lambda |
Scale parameter for the desired Laplace distribution. |
Value
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.
Examples
1 2 3 | draw.laplace(nrep=100000, alpha=4, lambda=2)
draw.laplace(nrep=100000, alpha=-5, lambda=4)
|
Example output
$y
[1] 4.079356128 3.826856463 4.564202816 4.203304980 3.783472216
[6] 4.019088983 4.149464291 4.109154847 2.940419336 5.418032858
[11] 2.228270267 4.228422619 4.464127399 4.240859706 4.304646409
[16] 3.712135374 3.811951379 4.745816707 3.838060748 4.000409278
[21] 3.671362621 4.866263110 3.818297376 3.955370912 3.926177889
[26] 3.385178154 4.228365984 3.859236771 4.439381434 3.900613570
[31] 6.513094363 4.565728462 4.659060533 3.579808926 2.783610496
[36] 4.577302168 3.919676848 3.748633179 4.224202768 3.806704909
[41] 4.428457691 4.152468458 0.203494081 3.552866258 4.085677060
[46] 4.063590946 3.697995867 3.839528751 3.407535391 4.063938232
[51] 4.058069480 4.403967187 3.383782113 3.366153283 3.193968664
[56] 3.823689963 3.759742428 3.045784476 2.980110414 3.501045673
[61] 4.450564667 4.980422945 3.040873783 2.723052635 4.246121808
[66] 4.711555443 4.234625672 4.083818699 4.712233504 3.593349127
[71] 4.543308634 4.334703628 3.361369641 4.254383721 3.309358988
[76] 4.170643633 3.981548473 4.644383088 3.651687366 3.861100471
[81] 4.130802876 3.772321110 4.112451051 4.044486300 3.675749871
[86] 3.877137928 3.911489348 3.698073150 6.684958749 3.350858383
[91] 3.070213388 4.151542894 3.853569729 4.016806878 4.270865510
[96] 3.776003278 3.066541799 4.466749687 3.886800514 4.757787933
[101] 5.191463367 4.960867660 3.593503712 3.970599860 3.751907830
[106] 4.014968604 3.920533770 4.214000657 4.158222202 3.569666395
[111] 3.229062802 2.454041833 3.760615075 3.847222578 4.452139277
[116] 4.072477276 4.228474827 3.956605225 3.165408940 5.133938128
[121] 4.109854561 3.802985619 4.043180857 3.677999816 3.862877753
[126] 3.983073469 5.467309344 5.056483965 4.359792336 4.909169871
[131] 3.914741846 3.789608893 4.128543460 4.238676479 3.423196888
[136] 4.433186844 4.234746550 4.572938746 4.472704694 3.397298152
[141] 3.146059628 4.578203626 3.869564024 3.764159631 3.712134000
[146] 3.950084385 3.377444655 3.613756165 3.828758606 4.794500344
[151] 3.682020351 2.400237813 3.460928246 5.314309035 4.042799931
[156] 4.625714354 3.293708385 1.693884930 4.265639013 3.430211260
[161] 3.546885561 4.176041301 3.528424718 4.138311147 3.510777982
[166] 4.244647496 3.912081099 2.519748803 3.396409806 4.805836055
[171] 4.050347712 3.575061388 3.972184058 4.296768705 3.337833229
[176] 3.643443257 3.744485232 3.698586985 5.205940642 3.945226870
[181] 4.720112324 4.094993070 4.067694807 4.551962844 3.403356207
[186] 3.603058738 4.042137048 4.306857137 4.193909139 4.115886152
[191] 4.782731694 4.515392894 4.151515448 4.726836040 5.240142480
[196] 3.463249169 2.660377537 5.618636288 4.097779768 5.326861304
[201] 3.747963327 3.314403952 3.966343011 4.704949156 4.014373186
[206] 2.643023358 3.849116736 5.451539479 4.479894074 3.911324748
[211] 5.112987501 3.447202681 4.479647940 3.694284842 4.331958744
[216] 3.543350058 4.472468999 3.632621455 3.819008601 4.821977413
[221] 3.952086095 2.138362249 4.736407417 3.677682676 4.668192621
[226] 3.849773507 4.957258721 3.986191814 3.808630314 4.071278492
[231] 3.658152989 5.908004767 4.118454586 6.239031473 3.876994259
[236] 3.828408845 4.192786035 5.693013165 4.381681410 4.014556003
[241] 3.934719545 4.984838697 4.637097528 3.670020461 3.933597910
[246] 3.765863441 3.518576792 4.314658780 5.403555596 3.631126036
[251] 3.857954800 4.115467507 4.028623627 4.193728848 3.974310641
[256] 3.896591135 3.685924549 4.126230900 4.844346358 5.610962269
[261] 1.830338761 3.965177611 4.624218618 3.673798764 3.950210525
[266] 4.146693819 4.084543135 4.152493260 4.021234662 3.248064091
[271] 4.125176393 4.669920936 3.868195353 3.934972374 4.160697839
[276] 3.167210461 4.284889324 4.102894512 3.456409596 4.293749535
[281] 4.064825559 4.400885249 3.539294654 4.203851492 4.330802381
[286] 4.259701088 4.632510285 3.362767021 4.454431384 4.823903987
[291] 3.588800721 4.367426918 4.176674715 3.396735751 4.097981842
[296] 4.038379862 4.748427073 4.265512820 3.201012779 5.352657170
[301] 3.851056395 3.989048522 3.809546940 4.271950952 3.596417678
[306] 3.776385164 3.748719985 3.758852017 3.733760066 4.096315689
[311] 2.388581589 3.853787676 3.020850532 3.662023450 2.755317762
[316] 3.437487530 5.276620224 3.594131568 3.811637796 3.883458809
[321] 4.669657985 3.777905216 2.555397421 3.958883350 3.324132478
[326] 2.945494028 4.053823969 4.855330859 4.169393771 3.919273318
[331] 3.911288941 3.697992578 4.033936385 3.026519197 4.506005619
[336] 4.861143763 3.601751005 4.406364839 3.794202426 5.204726270
[341] 3.308290128 3.753428310 4.386970804 4.524091726 4.171027524
[346] 4.154122426 4.037392185 4.529091336 2.585665664 4.726348046
[351] 4.480337860 4.450573637 3.341106621 4.393212002 4.146949494
[356] 3.410182887 3.637612096 4.151565928 3.426977752 3.993824365
[361] 4.147641050 3.028253779 3.481376257 4.101870088 3.929209095
[366] 3.676233916 4.155663482 4.010402079 3.765817920 3.759173798
[371] 3.433117196 3.426857427 3.764339618 3.783226314 4.515890764
[376] 4.121698267 4.797595039 3.441666173 3.990391389 4.182352051
[381] 4.337876049 4.382650207 4.191295360 4.094591025 4.336010049
[386] 6.271014655 4.009548678 3.911901611 4.361352405 4.235537310
[391] 4.102684531 2.944685713 4.191459606 4.217623977 3.429526459
[396] 4.500402827 3.585978538 3.755342058 4.103835110 2.820102501
[401] 5.266435443 4.070531722 3.848838381 4.330324339 4.935227329
[406] 3.742400137 4.180495637 3.951435621 4.150907536 4.156263333
[411] 4.748660558 3.546711798 3.288078356 3.834627890 3.825169567
[416] 1.853981501 3.705998535 3.996366127 3.755184141 3.844866004
[421] 3.970340741 4.561350300 4.242398361 3.568222977 3.361845831
[426] 3.646279703 4.037645951 3.556877998 3.372294457 1.498836959
[431] 2.849918758 5.343651420 5.058357942 4.109660855 5.094395769
[436] 3.475486253 4.246541986 3.936191533 3.852993005 4.838235608
[441] 4.271871576 4.053516135 3.076377183 3.426678226 4.348773940
[446] 4.685705371 3.633173280 3.597811779 3.595177321 3.770334436
[451] 3.552298406 3.514493395 4.716939571 4.367998888 5.112174964
[456] 3.899990440 3.946320223 4.216650509 3.252048492 3.974487818
[461] 3.969761014 3.697487599 4.395858306 3.958289116 4.602924613
[466] 4.588393040 4.091143093 3.877038079 3.710990512 3.949211511
[471] 4.268626399 3.969754275 3.451504501 4.321768155 6.107891563
[476] 3.542491827 4.062430694 3.394998099 2.982810644 4.195101339
[481] 4.294968659 4.108577325 3.640947414 4.702885974 3.869956285
[486] 3.493189938 3.979493100 3.620445289 2.780524892 3.655861300
[491] 4.365676365 2.499430660 3.958001608 2.364520989 3.887902367
[496] 3.830223537 4.428966621 4.110587955 2.970295601 3.968794625
[501] 4.062345774 4.613519254 3.421555009 4.014001453 2.863903171
[506] 5.834915998 4.094762313 5.270320580 5.012342270 3.939629006
[511] 4.199620307 4.139824427 2.156741907 4.065275682 3.163561382
[516] 3.942655925 5.376626351 3.984350833 4.303982556 3.946725594
[521] 4.023730818 5.108036640 3.830191193 3.731829380 3.910495381
[526] 3.956410548 4.274938716 3.666294925 3.394622040 1.533903069
[531] 4.016980161 4.194666750 3.638924121 4.150210972 3.950078818
[536] 3.951942085 3.833598627 5.805862510 3.278504403 3.841485249
[541] 4.750894984 5.382503760 5.275536309 3.739289059 4.446899347
[546] 4.838649324 3.572678148 4.000582928 5.061975255 4.117726002
[551] 4.269530552 4.142813838 4.294208761 3.693567842 3.852576246
[556] 4.419889606 4.430836739 3.515888461 4.374320009 2.932376769
[561] 3.322734476 4.282356730 3.822358283 3.065457672 3.311638176
[566] 3.896543445 3.680941819 4.483782360 5.270047153 4.589333289
[571] 2.990786474 3.114290552 4.658393898 4.414768372 4.512588123
[576] 3.580809437 2.247338844 3.021055158 2.151672855 3.773738819
[581] 4.190825308 3.645317835 1.429363058 4.394157965 5.073349914
[586] 3.996277982 4.020318453 3.520278570 3.893142591 5.371683103
[591] 4.608132245 4.306142993 2.583904773 3.453887574 3.931860049
[596] 4.787138850 3.086445856 4.008146869 4.284092396 4.001405817
[601] 4.270016173 3.789582573 4.681864782 4.991181729 4.021304541
[606] 4.240205890 4.013512436 3.846078465 4.342773130 3.686415399
[611] 4.454023586 4.060225878 4.248962582 3.686479435 4.702712376
[616] 5.268662288 4.419232703 3.755078976 4.458452128 3.496495142
[621] 3.480113817 4.179923955 3.681737604 4.170359001 3.503679035
[626] 4.148669736 3.840179771 3.023903439 3.684905470 3.563638797
[631] 4.767571508 4.115937216 4.349883069 3.891146627 4.298633196
[636] 3.297879563 4.553233278 3.991860710 3.529043147 3.543275159
[641] 4.634175568 4.323781769 4.010416142 3.886059696 4.178193752
[646] 3.251572046 3.955733013 3.994414276 4.133491895 4.592529610
[651] 3.734188101 3.757969107 2.723539648 3.813049036 3.892992049
[656] 3.814920839 3.086025224 3.350960223 4.652129199 4.519063173
[661] 3.647110630 4.603750227 3.807354136 5.296635159 4.397588438
[666] 4.526241077 4.695063927 5.243964421 3.652484393 3.909957926
[671] 5.302215795 3.114906399 2.602306265 3.523642071 4.786327736
[676] 4.066337546 4.301622954 3.989059472 3.892950083 3.860098946
[681] 3.922038670 3.802717523 6.509814494 3.777864264 4.087045106
[686] 2.938724852 4.434773194 3.887370627 3.164854939 5.250482642
[691] 4.580233821 3.752069495 3.797979880 3.639058704 3.733228065
[696] 4.680758225 3.785746391 4.166037672 4.590247318 3.733940091
[701] 3.759224963 4.211911381 4.419093655 4.597666938 4.408936710
[706] 3.172344498 3.921020133 5.701741803 2.456820265 4.225346396
[711] 3.946455175 4.284731129 4.028191250 3.359254863 2.825265462
[716] 5.439300815 3.816846556 2.417261779 3.858311383 3.083120596
[721] 3.850038919 3.819422049 3.754521117 3.853820173 4.665652578
[726] 5.142842646 3.125104658 4.979681511 3.971260665 3.630363195
[731] 2.259195698 3.524987036 4.267398405 5.296235538 4.091104176
[736] 3.189390697 3.663066782 3.991601065 4.238048747 4.317491921
[741] 3.814906657 3.921138563 3.953336591 5.048074913 4.513599708
[746] 4.165376587 2.880214389 4.665344577 2.628875275 4.123011183
[751] 3.651123335 3.701801092 4.330280877 4.046784913 4.061043562
[756] 4.504964871 1.568378503 3.355156457 4.254758089 4.937068789
[761] 5.946031223 5.138086523 3.921512555 3.808372442 4.666614517
[766] 5.516616475 3.862789751 4.465752810 5.350873920 3.664024719
[771] 4.053680914 4.361030347 4.002776411 3.650383099 5.118371849
[776] 2.916354641 4.072946280 3.290923189 4.014977558 3.955574693
[781] 4.208431639 3.346797057 2.703921859 4.579156769 3.684517581
[786] 3.742520856 3.637750576 4.987509480 3.878763579 4.096536871
[791] 4.423644532 0.537257918 3.879898994 4.267691477 4.334790811
[796] 4.043174220 4.402142852 2.828533602 3.957625742 3.957030809
[801] 3.651382877 4.039335485 3.873539721 4.222235429 3.767323570
[806] 4.411147882 2.628329213 4.103877955 4.904170142 4.108702782
[811] 4.235258086 3.979191917 2.968334126 4.199093519 3.848597117
[816] 3.619837787 4.027567490 4.420498983 4.232332269 3.934637484
[821] 3.856718942 4.023409059 2.306079045 4.033725218 4.265541216
[826] 3.487713480 3.835358345 5.541548546 4.643225483 3.750162564
[831] 4.098531176 3.932475492 6.020866307 4.225600872 2.977559051
[836] 4.239425018 4.328935991 2.749858742 3.794588393 4.576616183
[841] 4.282048725 4.361041356 3.012022321 3.083081047 4.217550120
[846] 3.689752847 4.134207416 3.901036655 4.024657246 3.817725619
[851] 2.489113700 3.979679384 4.054518641 4.522207574 3.884732551
[856] 3.027340509 4.876140676 3.237280324 3.668689911 5.526441143
[861] 4.948640036 5.078341545 6.357888574 4.560216328 4.251687845
[866] 3.825253494 4.574048540 4.092779056 4.209964432 3.209967748
[871] 3.808517955 4.020190967 3.477685924 3.483604334 4.199577447
[876] 4.529632212 2.448022597 3.705599135 4.505088966 3.533213306
[881] 3.749425968 3.874596511 3.140120797 4.671662427 3.427227360
[886] 3.707101699 1.614303088 3.859480852 2.935001819 3.921761384
[891] 3.943560470 5.178582400 3.802683644 3.596154414 3.745188995
[896] 3.942965888 4.127093698 2.822968539 3.325810600 4.145477387
[901] 4.881975204 4.247111357 4.139888865 3.466873675 2.705204994
[906] 4.467361208 5.917656290 3.751550021 3.530333213 4.068986089
[911] 4.530697720 3.737439885 3.771678285 4.402283885 1.909224963
[916] 3.719547443 3.689644036 4.274875842 3.946855496 3.757428285
[921] 3.734200300 4.655299420 4.190094387 4.057180632 4.721164451
[926] 4.277126257 5.393281221 3.588921781 4.210413577 5.902008781
[931] 3.443408779 4.021586034 4.551477710 4.252568980 3.960249701
[936] 3.846917303 3.831248597 5.625061426 3.839039322 3.850123352
[941] 3.359958771 4.131512961 2.608709391 2.670366707 3.802017918
[946] 4.410602113 4.538743213 3.439808926 3.693115779 3.946803542
[951] 4.782067834 4.435983476 4.606711503 4.576276137 4.977860269
[956] 3.259543733 3.956455813 4.231484735 6.010825734 3.253073860
[961] 3.682852448 3.612226440 3.982916256 4.392726850 3.125411911
[966] 4.077549939 5.811118285 3.247142030 4.616940250 4.525017532
[971] 4.205230226 4.522834597 4.086266021 4.330896551 3.798172383
[976] 3.996300077 4.087869341 3.556243592 3.455284699 3.719838869
[981] 4.286681062 3.246626374 3.575041153 4.262135137 4.013370916
[986] 3.637054634 3.986059402 3.512000398 3.593201546 3.083742095
[991] 4.458511155 3.719760096 4.466450663 5.019882329 3.439542587
[996] 4.201436746 4.011514316 3.827216434 4.285601483 3.390063472
[1001] 5.152107284 4.287127919 4.730997236 3.991223583 4.514703997
[1006] 4.350803033 3.573183709 4.403465285 3.705971438 3.827884678
[1011] 3.999731868 3.236259257 4.033758728 4.003543589 3.923369895
[1016] 3.500394297 5.199060284 4.995922610 4.231060446 4.665398556
[1021] 3.551052076 4.195587940 4.854547095 4.121295068 4.630959169
[1026] 3.907583624 3.615492406 3.201513499 3.160819468 3.799494577
[1031] 3.987669514 3.615723970 5.230357042 5.160848531 4.094552468
[1036] 3.827223873 3.925579810 3.665340239 4.278961408 4.194696445
[1041] 3.617906016 5.260184369 4.073354058 3.439343810 3.695507795
[1046] 4.125586482 3.885374451 3.134245987 4.436940995 3.336073568
[1051] 4.757482261 3.901729449 3.585599258 4.632700207 5.064601417
[1056] 3.750595347 3.141524556 3.791180200 3.604760042 3.712210745
[1061] 3.687131279 3.889704443 3.826000647 3.346038630 5.138085790
[1066] 3.746414210 3.702224317 2.186583405 2.996588474 4.052529092
[1071] 5.162298852 4.084500735 5.878291200 3.411568479 5.587890292
[1076] 5.543431058 4.056006733 5.097201907 4.086083154 3.929310889
[1081] 3.866000538 2.653128232 3.826125066 6.310313189 4.901058318
[1086] 4.425692148 4.112488180 4.761734181 5.804511103 4.275147036
[1091] 4.167880694 5.492977172 3.877722742 3.670446465 4.253415136
[1096] 3.432581193 3.905522960 4.181678485 4.568491986 4.601110527
[1101] 3.440836099 4.057734902 4.393600190 3.905300648 4.010767800
[1106] 4.506673815 4.127789189 4.120728106 4.012938678 6.365872512
[1111] 4.482559509 4.584212543 3.613059487 4.572350401 3.818931737
[1116] 3.933412529 4.099740809 4.005971188 5.224301034 5.549224367
[1121] 4.125377442 3.802727077 4.383698090 3.999532304 3.264546810
[1126] 3.660543658 3.642038950 3.896655761 3.741765543 3.333315189
[1131] 3.590299976 2.670620044 3.811976572 3.237504813 3.885929828
[1136] 4.727039969 4.415809485 4.407071764 4.659270084 4.112464023
[1141] 4.826484767 4.198158798 4.063429715 3.685025108 1.696498772
[1146] 3.962083626 3.992320545 3.471078182 3.840718479 3.784860026
[1151] 3.196825914 4.335325725 4.636308276 4.768167963 3.899441089
[1156] 4.825497855 4.341346039 3.422127742 4.453452837 3.982749141
[1161] 4.934254918 4.536634341 4.815653034 4.636340172 4.293548791
[1166] 4.141611085 3.548506409 5.307201705 3.697242999 4.036577804
[1171] 5.280496635 4.227982784 4.568048414 4.088471226 3.744998357
[1176] 4.454576723 4.341809324 4.400118637 5.188479763 2.084714643
[1181] 5.780174057 4.391162004 4.081178475 4.218827109 4.558507253
[1186] 4.549480349 4.110935349 4.494579170 4.392466855 4.381381744
[1191] 4.143290428 4.001455622 4.366323038 4.026277429 4.742242875
[1196] 6.913714580 6.732263558 3.509404128 3.660331304 3.193528618
[1201] 4.029171712 4.717297079 4.521118173 4.414060628 3.439394333
[1206] 3.755380345 3.593981382 4.270995783 4.026355559 3.876817389
[1211] 4.000922199 4.276885836 3.620420932 3.941037673 2.738385747
[1216] 3.820643669 5.807005938 3.928778404 3.433660175 1.900918575
[1221] 4.021648861 4.004846652 3.904731284 2.998224506 4.541260316
[1226] 5.512130164 1.824331645 4.142540413 4.616669382 4.190020291
[1231] 3.807823874 3.190585738 3.518578044 3.923839214 3.922084140
[1236] 4.013452095 4.394761665 4.174907006 3.065787238 3.627023446
[1241] 4.084628384 3.762774072 3.573319118 3.774370271 3.745138455
[1246] 3.751817220 3.229717503 3.925855008 4.155306693 3.143387953
[1251] 4.110684702 3.557279474 4.094203866 4.128537382 2.674892097
[1256] 3.143144614 4.108832834 4.174285635 4.989917688 3.946010705
[1261] 4.023263868 3.568393367 3.871370374 4.598960872 3.523031633
[1266] 4.056394331 3.162201257 5.404909849 3.576467932 4.000399075
[1271] 3.800629998 4.060176525 3.736139195 5.707016572 3.176867123
[1276] 3.110167195 3.059004551 3.665553518 2.805233293 3.702974707
[1281] 2.994993738 4.173502994 3.410983617 4.907631258 4.280859521
[1286] 4.005686617 3.646847922 3.527251629 3.772490031 2.380497135
[1291] 4.089569004 3.287022553 4.280336264 3.532569439 4.185058178
[1296] 4.595076740 3.079416922 4.019025611 3.569750667 3.732333851
[1301] 3.111049495 3.952208047 3.821220411 4.313908656 4.576276464
[1306] 3.607500555 3.777496863 3.967757588 4.137680353 4.030144694
[1311] 3.954347966 3.536040803 4.057060823 4.163797694 4.318853005
[1316] 3.983680573 1.821274853 4.551116826 3.460978610 3.886544361
[1321] 2.946895844 4.019386034 3.882395580 3.997092888 2.912008868
[1326] 5.329674915 3.583318241 6.414979735 3.798843555 4.452826289
[1331] 3.193398245 3.817180967 3.706375433 2.364259105 3.856551626
[1336] 4.296503399 3.259357153 4.337660137 3.580331682 3.572675474
[1341] 3.645439241 4.461790363 4.380179626 5.169637286 4.098281271
[1346] 3.969799538 4.125340838 3.869719745 1.538209144 3.518087459
[1351] 4.958567233 4.176200284 4.059872108 4.185672379 3.854471264
[1356] 4.063216978 5.400096465 5.021232475 3.817814534 4.119450742
[1361] 4.100343857 4.102666950 4.117921073 2.701420474 4.089811837
[1366] 3.953964575 3.451354146 3.120032360 3.095602107 4.260024999
[1371] 6.046089369 4.623520323 3.182819593 4.148717509 4.013372846
[1376] 4.731686506 4.051092390 3.923917748 3.767288792 3.143422993
[1381] 3.734558914 3.439463462 3.998758339 3.968295233 4.071960809
[1386] 3.501816089 2.843602660 4.137581785 4.606445223 4.110269538
[1391] 4.132844080 3.626934046 3.384659013 4.203705297 3.390897780
[1396] 4.276986497 2.849647866 4.271336303 3.672944759 3.850141220
[1401] 4.826917093 4.144323489 3.610820038 3.853428437 5.402339319
[1406] 1.920892825 4.014917941 4.247072296 4.086578887 3.860823526
[1411] 2.797756733 3.847285118 4.166460917 4.261636090 3.826063070
[1416] 4.055103614 5.420499802 4.721386724 4.283506553 4.063887029
[1421] 4.154323687 4.682240961 3.521261216 3.878114162 3.878286357
[1426] 3.746705753 4.399329495 4.476058216 4.187487843 3.995641692
[1431] 6.274503315 3.484380335 3.473271883 4.024439084 3.950458483
[1436] 4.231113716 4.259322227 3.924637644 4.000216549 4.258939129
[1441] 4.501960526 4.760441903 5.256198885 5.513933854 5.016582006
[1446] 5.236545348 4.313661063 3.753943092 4.136818320 4.349036880
[1451] 3.690649118 4.878078858 3.021870193 4.395628228 4.004282844
[1456] 4.393117216 4.230637352 4.621284608 3.425998279 3.460154084
[1461] 4.221801829 4.417898696 3.792773587 4.031657394 3.443516883
[1466] 3.826353745 3.671576426 3.658762039 2.917530839 4.261627716
[1471] 4.215427176 3.550219186 3.651027561 4.452077612 4.402177607
[1476] 4.660625149 3.757118467 6.033514234 5.583777193 5.149126156
[1481] 4.343491035 5.417799573 4.051590032 4.727740741 5.274356252
[1486] 4.538180598 3.227944563 4.220689174 4.175228314 4.110952122
[1491] 4.123637221 3.690851213 4.668635611 4.882801963 4.132391234
[1496] 4.104408968 3.193482241 4.528978982 4.440284105 3.073106166
[1501] 4.702344034 3.559712199 4.589327108 3.896444910 3.792735771
[1506] 2.810785021 4.431546721 3.648151767 4.199132733 2.934801708
[1511] 3.688211981 1.810893271 4.072784033 4.127712325 3.948859270
[1516] 4.236477270 2.944935218 3.510482915 4.319888737 3.967619255
[1521] 4.727801680 3.662755308 1.884938618 5.239156607 4.210079198
[1526] 4.550612590 3.748525905 3.569617832 4.396340769 3.606956661
[1531] 4.594108107 3.839268957 3.425847344 4.636426701 5.062929492
[1536] 3.939576317 3.438918691 3.676215761 4.891175047 4.568243705
[1541] 4.031128529 3.071652872 2.516452916 4.199202085 3.894984016
[1546] 4.328767973 3.692001390 5.595554829 4.122469011 4.349833664
[1551] 4.799385522 2.754557031 5.360675323 2.311107885 4.241266089
[1556] 3.505388351 3.845089277 4.250766973 3.656350611 4.200025233
[1561] 4.629475834 4.142823086 3.715254756 5.051337586 4.674659923
[1566] 3.907999284 4.142185642 3.543800774 4.221471046 5.567094078
[1571] 4.735168637 3.627379904 3.795463233 4.606657334 3.930985907
[1576] 6.302975992 4.064926371 3.473480357 3.699809171 3.323147593
[1581] 3.288327853 3.953251212 4.172649481 3.750416317 4.066209128
[1586] 3.752090650 3.958448407 4.301953117 3.606089179 3.710326284
[1591] 3.151898787 3.535292064 4.260981653 4.003296945 4.040696036
[1596] 3.914027585 3.114018658 4.839263651 3.595647534 4.935563819
[1601] 3.610479622 6.542538279 3.233591430 4.200719803 3.976010510
[1606] 4.651413967 3.869518320 4.745656796 4.883921011 4.462001116
[1611] 3.994343112 2.725070453 4.021230819 3.954828615 5.460574968
[1616] 4.501875886 3.721865998 2.901140921 4.157069701 5.430350692
[1621] 4.030075600 4.322986483 3.811124293 3.979338759 2.165390452
[1626] 4.482295325 4.981282548 4.355391076 4.133900078 3.933081958
[1631] 3.505059447 3.214219692 4.437354714 3.711536960 3.594925013
[1636] 3.890747532 4.084572201 4.008766501 5.046080002 2.596223593
[1641] 3.571152556 4.028027336 3.506952903 3.769834072 4.062073042
[1646] 3.162958889 3.590737957 4.373294470 3.807187221 3.573416948
[1651] 3.875457978 2.378386031 4.537623320 4.856918369 5.270468342
[1656] 4.238702341 4.745036673 4.120662573 3.564611469 3.973478696
[1661] 3.905320331 3.824813045 4.280290008 3.688567221 3.058775939
[1666] 4.266239855 3.651812614 3.481195571 4.739391502 3.733461321
[1671] 3.808514310 4.259250147 4.156336521 4.401939689 3.825182856
[1676] 4.001945661 5.229435851 3.492067344 4.208321540 4.341775527
[1681] 3.819373844 4.010520016 4.655677189 2.873784655 4.123920416
[1686] 3.798816436 4.626499997 7.238835542 4.773227522 3.424130012
[1691] 4.025216926 2.881256298 4.155460842 5.458221647 4.818437558
[1696] 5.154768236 3.594468731 4.458039890 4.166566313 3.231389453
[1701] 3.659546738 3.902001799 4.450699138 3.719122596 2.362764362
[1706] 3.919165687 4.593881458 5.269534804 4.079831389 3.429948601
[1711] 4.591668694 4.404462733 3.784599321 4.421218832 4.725494110
[1716] 4.195620917 3.332432639 4.659929054 3.663600118 3.548713262
[1721] 4.212352801 4.503713145 3.542180487 4.215005241 4.058849823
[1726] 3.508658535 3.625440800 2.606502045 4.409616777 4.796653573
[1731] 4.336527650 5.257386838 4.026976575 4.642143478 4.507439774
[1736] 3.772104392 3.401230691 4.043954721 4.149969537 4.355404350
[1741] 5.269685364 3.834366614 2.388532300 4.847129645 3.923938027
[1746] 3.759086330 4.268897100 4.726964903 3.862731078 3.567152428
[1751] 3.244036742 3.266226631 3.635110300 5.852254930 4.064768410
[1756] 3.976750093 4.104911147 3.998062450 3.779903324 4.402949758
[1761] 3.982432977 3.531310326 4.653112346 3.626776058 3.899033846
[1766] 2.868467488 5.411522210 4.484940620 3.919016292 5.156174154
[1771] 4.666572887 3.988550109 4.781336280 4.349447828 5.838671532
[1776] 3.697736020 3.898316598 4.084842227 4.503641216 3.954670254
[1781] 3.455327397 4.226790678 4.584005889 3.742100410 5.360645396
[1786] 3.656602937 4.083020707 3.814380587 4.202357919 3.219189374
[1791] 4.766770598 3.308760383 4.362172050 4.136849772 4.132899722
[1796] 3.267916516 4.047412068 4.389157812 3.984208137 4.366579296
[1801] 3.850751556 4.713986528 5.286156314 3.912734090 2.029033241
[1806] 4.336251035 4.457497928 3.640481518 5.219877436 4.088987168
[1811] 4.255989417 4.122349557 4.645392991 2.317363024 3.580799704
[1816] 4.107364934 3.817874471 3.876550259 4.274649117 4.773066374
[1821] 3.834481844 3.411071208 3.824887812 3.507476204 4.250889968
[1826] 3.715429148 3.617729622 4.115870018 4.250664599 3.552903696
[1831] 3.924571044 4.111195574 5.212300419 3.975617377 3.168390411
[1836] 4.527722033 5.015831071 3.087057250 4.012246212 4.724495272
[1841] 4.453302991 5.113391585 4.039265881 5.280930404 4.629920200
[1846] 4.260867317 4.902527739 4.755910251 5.808058108 5.496561811
[1851] 2.690851832 3.855946743 4.032005406 4.508185348 3.689129357
[1856] 3.160609875 3.998235594 3.674817136 3.218506182 4.885162236
[1861] 3.785357551 3.644890127 6.010037254 4.650825313 4.112176221
[1866] 3.244364033 3.805894869 3.750475344 4.598735179 3.422737541
[1871] 4.614752427 2.488255039 4.094022390 1.852264276 3.769025921
[1876] 4.914173534 4.275416943 3.334579824 4.472581113 3.835743594
[1881] 3.968402638 3.344995165 3.543962403 3.942850848 4.140101422
[1886] 4.275986591 3.427035980 3.774601788 3.520579827 4.619324428
[1891] 3.403825538 4.183566495 3.948805469 3.379228567 4.466265204
[1896] 3.984428401 4.313019015 3.829956280 3.748560094 3.297858629
[1901] 3.929794269 3.903158630 4.216097598 4.555656938 3.813316342
[1906] 2.740105056 4.222348872 5.067544780 4.766877523 3.226018101
[1911] 5.347321310 4.027262120 5.231000396 4.038275683 5.722101372
[1916] 4.459297732 4.065665719 3.806406741 4.821835974 4.287008775
[1921] 4.344662167 4.357595640 3.302946417 3.379445010 4.213472369
[1926] 4.760520190 4.071601499 4.274826403 4.287275186 3.849112213
[1931] 2.837906598 4.421591103 5.011121345 3.797042435 4.154549095
[1936] 3.992319773 4.698501411 4.098860162 3.752013630 2.937002813
[1941] 4.270730628 4.256435810 3.660312139 4.070092807 4.773121020
[1946] 2.127855316 3.761903300 3.739024726 3.238951901 4.011774063
[1951] 4.235763094 2.403982479 4.760077360 3.965941190 3.754069566
[1956] 3.989216587 4.025673236 4.134350367 2.799729427 3.413276177
[1961] 3.892429892 3.369669932 4.823134534 2.982014771 5.869526614
[1966] 3.683298372 5.142549560 4.106206413 5.022158680 3.998016411
[1971] 3.831359801 4.014803604 5.807883884 1.831934111 3.921803838
[1976] 3.983267238 4.028748447 4.032711612 4.625289455 3.180788889
[1981] 3.981594201 4.317534546 4.034412997 3.450388156 3.358939072
[1986] 5.046378796 3.176128613 3.726729392 3.856526320 3.850451161
[1991] 4.462392940 -0.399277114 4.927568357 4.138393124 4.077669856
[1996] 3.868772826 4.760038911 3.979710763 3.706813913 3.992845738
[2001] 4.764962668 4.031715124 3.681485449 3.443589974 3.533968495
[2006] 6.100335428 4.296404504 3.331069152 3.751417971 4.641266381
[2011] 4.189650575 3.374686805 4.030107126 3.206330127 4.641908540
[2016] 3.521714700 4.022784800 3.929941359 4.741466236 3.379302297
[2021] 3.502281132 3.549969629 4.009717086 3.364526483 3.632139667
[2026] 4.243451992 4.216288227 4.824010225 3.836499573 3.689973014
[2031] 3.415023758 1.069112010 3.400276569 4.030618685 4.169271408
[2036] 5.612138554 3.594021598 4.639005719 6.626571410 4.076270857
[2041] 4.235890077 3.692241406 4.315344324 3.751934374 5.053267660
[2046] 3.767443090 3.858726651 3.206983150 3.726736994 3.060295921
[2051] 3.617878335 4.488409788 4.145133580 5.781388644 5.017514764
[2056] 4.140157577 4.314112698 2.486996733 3.819947986 4.237381884
[2061] 2.874541431 3.478079677 6.026515405 2.397856690 3.005679404
[2066] 4.545060287 4.987473717 3.844065283 3.376601563 3.795919476
[2071] 2.852491320 3.636807168 3.759075692 4.168572813 5.059278333
[2076] 4.129918490 3.602058581 3.624122757 3.622592159 2.625104322
[2081] 3.806257245 3.822211310 4.489451642 3.803057326 4.289835244
[2086] 3.559719909 4.163330132 4.853628708 3.148815305 5.331084800
[2091] 4.394467115 3.910548259 3.962248786 1.962663998 3.627880177
[2096] 4.194936221 4.528897141 4.153377580 4.198676913 3.641511107
[2101] 4.182519017 3.333236997 3.842042621 3.803630288 4.097542787
[2106] 4.049841020 2.621667025 3.591177801 4.562327631 3.785569030
[2111] 4.701592984 4.185452376 3.972826363 4.071800921 3.858207653
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[67256] 3.627366791 3.724189162 4.816515245 3.903925090 3.672781422
[67261] 4.791884004 4.196998950 4.056987833 2.834719367 3.439726145
[67266] 4.419972849 3.809138064 3.756753359 4.710185438 3.750753080
[67271] 3.949909243 3.561334688 4.152960928 4.196780247 3.841684587
[67276] 4.211762521 3.584941546 3.903642782 4.671240485 4.560763011
[67281] 4.431625920 4.373953078 4.172440964 4.716115111 3.968460760
[67286] 4.261320663 1.405679948 4.603882264 4.493134320 4.043955632
[67291] 3.962869631 6.440678247 4.935069284 2.712083246 3.445100311
[67296] 3.858372035 3.987469863 4.450574569 3.618683152 4.650005993
[67301] 2.594133622 3.455578502 3.007396691 3.652135030 5.275684765
[67306] 4.635287823 3.285847044 4.223487289 3.496522858 4.405289412
[67311] 4.574797350 3.237252445 4.271622980 3.141373429 3.813662652
[67316] 3.316040974 3.454864700 3.553197424 4.539272921 4.967195239
[67321] 3.776084988 3.824391058 2.932008583 3.584056854 2.824037836
[67326] 3.149163861 4.022263091 5.511563953 4.398337418 4.164034882
[67331] 3.923433712 3.426118675 4.684399142 4.130827306 3.106363788
[67336] 1.945003045 3.821372072 5.709966250 4.225072706 4.412672772
[67341] 3.190845000 3.388749945 3.295166713 4.245886554 3.903232058
[67346] 3.770735375 4.988371610 3.850989493 1.661268151 4.283438003
[67351] 4.375451868 2.887425712 4.171846341 3.097706081 3.930342743
[67356] 4.085803129 4.353004202 3.488562069 4.388222396 4.281019836
[67361] 3.991676549 4.011031291 4.893339589 3.972705005 3.786385094
[67366] 3.597519861 4.168539750 3.522618814 4.314301479 3.655498527
[67371] 4.712499479 3.076954067 4.766243837 4.094865575 3.858891764
[67376] 4.279529565 2.566073996 3.211113185 4.156815552 3.109740106
[67381] 4.789440448 4.565741089 3.517808259 3.956280493 4.267171626
[67386] 5.444318998 3.541397946 3.949440710 4.171828552 3.934717478
[67391] 3.708457674 3.024331916 3.774584230 3.214287606 2.283146385
[67396] 3.633487764 3.951825831 3.636866673 4.005631475 3.679397179
[67401] 3.006046068 4.213615336 4.581333436 3.103339287 5.620106250
[67406] 4.146189265 3.954531830 3.004239075 4.269269928 4.474739910
[67411] 4.220947736 4.247808450 4.507696560 3.474616532 4.208796759
[67416] 4.277078669 4.630613328 3.329898287 4.848937054 6.586636984
[67421] 4.382885781 4.606013327 3.878269051 3.727050177 4.296693486
[67426] 4.639283484 3.686548867 6.062075826 3.781600838 4.202034767
[67431] 4.050183527 4.027606115 3.389924527 4.058113405 5.694601376
[67436] 3.849143822 4.428281942 3.851884561 3.503896470 3.762769678
[67441] 4.018871403 3.895294269 3.960169811 4.628231076 4.570183612
[67446] 4.168574789 4.278343789 3.502504268 3.571293031 3.847383201
[67451] 3.765809785 3.891805054 3.441370967 3.135286311 3.982487885
[67456] 3.566349647 3.688703788 2.809692280 3.469207650 4.097742708
[67461] 3.913916491 3.716371630 2.592982680 3.750679612 4.336770065
[67466] 4.133450601 4.278892427 3.940740355 4.891265023 4.539063503
[67471] 4.000229531 4.041175194 3.717531225 4.661300020 2.029731791
[67476] 3.788092647 4.034889084 3.990568913 4.401012762 4.673713231
[67481] 3.917514177 5.092713330 4.134245120 3.935669225 4.187198377
[67486] 3.072341145 4.156393146 3.674010734 4.118959959 2.680718371
[67491] 4.580140937 4.128179606 2.623990477 3.896071020 4.703202617
[67496] 4.003135413 3.893951428 4.333436584 3.858771171 4.117990908
[67501] 3.827167594 4.775828890 4.014507098 4.256917659 2.930541839
[67506] 3.490860360 3.438253491 4.583224007 5.201519524 4.761777456
[67511] 2.803729001 3.395240936 4.070200335 3.988771860 4.037227388
[67516] 3.984843656 4.498179944 3.711026893 3.798936078 3.456292502
[67521] 4.180539797 4.184009771 3.710693094 3.898182211 4.101538670
[67526] 4.203312972 4.001677529 3.731757486 6.001261908 4.104311979
[67531] 3.388793080 3.839457400 4.165043612 4.788628917 4.698034920
[67536] 5.645352449 3.850075939 4.611981340 2.953372750 3.734814510
[67541] 4.111810233 4.631539077 4.080220219 4.669364830 4.681144873
[67546] 3.878308723 3.134305437 3.920380135 3.699356341 4.137942277
[67551] 3.192462594 2.560376834 4.359466057 3.886571816 3.720187727
[67556] 3.330956594 4.516545005 4.903650363 4.464532674 4.144978771
[67561] 3.403413884 4.425200106 4.931120960 3.612577664 3.301059819
[67566] 4.285827417 5.235958124
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